diff --git a/notebook/problems.ipynb b/notebook/problems.ipynb
index c1fa790d..c2899a5e 100644
--- a/notebook/problems.ipynb
+++ b/notebook/problems.ipynb
@@ -1 +1 @@
-{"cells":[{"cell_type":"markdown","id":"b967ebc8","metadata":{},"source":["# Probability distribution problems"]},{"cell_type":"markdown","id":"c9b71587","metadata":{},"source":["## Binomial distribution\n","\n","In probability theory and statistics, the binomial distribution is the discrete probability distribution that gives only two possible results in an experiment, for example, when you flip a coin it can by either head or tails."]},{"cell_type":"code","execution_count":1,"id":"4eb16d6e","metadata":{},"outputs":[],"source":["from scipy.stats import binom\n","\n","# Define all the probability functions related to this distribution\n","\n","def dbinom(x, size, prob = 0.5):\n","    \"\"\"\n","    Calculates the point estimate of the binomial distribution\n","    \"\"\"\n","    result = binom.pmf(k = x, n = size, p = prob, loc = 0)\n","\n","    return result\n","\n","def pbinom(q, size, prob = 0.5):\n","    \"\"\"\n","    Calculates the cumulative of the binomial distribution\n","    \"\"\"\n","    result = binom.cdf(k = q, n = size, p = prob, loc = 0)\n","\n","    return result\n","\n","def qbinom(p, size, prob = 0.5):\n","    \"\"\"\n","    Calculates the quantile function from the binomial distribution\n","    \"\"\"\n","    result = binom.ppf(q = p, n = size, p = prob, loc = 0)\n","\n","    return result\n","\n","def rbinom(n, size, prob = 0.5):\n","    \"\"\"\n","    Generates random variables from the binomial distribution\n","    \"\"\"\n","    result = binom.rvs(n = size, p = prob, size = n)\n","\n","    return result"]},{"cell_type":"code","execution_count":2,"id":"6cf6313a","metadata":{},"outputs":[{"name":"stdout","output_type":"stream","text":["Probability that a Binomial(10, 0.2) takes the value 2: 0.30198988800000004\n","Probability that a Binomial(10, 0.2) will take a value less than 2: 0.6777995263999999\n","Which value of a Binomial(10, 0.2) has a cumulative probability of 0.9? 4.0\n","Generate 2000 random values from a Binomial(10, 0.2) distribution: [1 4 3 ... 0 0 1]\n"]}],"source":["# Binomial(10, 0.2) distribution where n = 10 is the number of trials and p = 0.2 is the probability of success in a single trial.\n","import numpy as np\n","np.random.seed(42)\n","\n","print(f\"Probability that a Binomial(10, 0.2) takes the value 2: {dbinom(2, size = 10, prob = 0.2)}\")\n","print(f\"Probability that a Binomial(10, 0.2) will take a value less than 2: {pbinom(2, size = 10, prob = 0.2)}\")\n","print(f\"Which value of a Binomial(10, 0.2) has a cumulative probability of 0.9? {qbinom(0.9, size = 10, prob = 0.2)}\")\n","print(f\"Generate 2000 random values from a Binomial(10, 0.2) distribution: {rbinom(2000, size = 10, prob = 0.2)}\")"]},{"cell_type":"code","execution_count":3,"id":"69fd07da","metadata":{},"outputs":[{"data":{"image/png":"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","text/plain":["<Figure size 500x700 with 3 Axes>"]},"metadata":{},"output_type":"display_data"}],"source":["import matplotlib.pyplot as plt\n","\n","np.random.seed(42)\n","\n","size = 10\n","prob = 0.2\n","data = rbinom(2000, size = 10, prob = 0.2)\n","\n","pmf = dbinom(data, size = size, prob = prob)\n","cdf = pbinom(data, size = size, prob = prob)\n","ppf = qbinom(data, size = size, prob = prob)\n","\n","fig, axis = plt.subplots(3, 1, figsize = (5, 7))\n","\n","axis[0].stem(data, pmf, \"r-\")\n","axis[1].stem(data, cdf, \"b-\")\n","axis[2].stem(data, ppf, \"g-\")\n","\n","# Adjust the layout\n","plt.tight_layout()\n","\n","# Show the plot\n","plt.show()"]},{"cell_type":"markdown","id":"8aa7eaa0","metadata":{},"source":["## Exercise 1\n","\n","Write the above functions but for both normal and uniform distributions."]},{"cell_type":"code","execution_count":4,"id":"98d5f012","metadata":{},"outputs":[],"source":["# TODO"]}],"metadata":{"interpreter":{"hash":"0f2f6c680cf484319d387fabac80ca4ff4fc33965036e02100b3fe02600f1423"},"kernelspec":{"display_name":"Python 3.10.1 64-bit","language":"python","name":"python3"},"language_info":{"codemirror_mode":{"name":"ipython","version":3},"file_extension":".py","mimetype":"text/x-python","name":"python","nbconvert_exporter":"python","pygments_lexer":"ipython3","version":"3.11.4"}},"nbformat":4,"nbformat_minor":5}
+{"cells":[{"cell_type":"markdown","id":"b967ebc8","metadata":{},"source":["# Probability distribution problems"]},{"cell_type":"markdown","id":"c9b71587","metadata":{},"source":["## Binomial distribution\n","\n","In probability theory and statistics, the binomial distribution is the discrete probability distribution that gives only two possible results in an experiment, for example, when you flip a coin it can by either head or tails."]},{"cell_type":"code","execution_count":4,"id":"104fa65d","metadata":{},"outputs":[],"source":["from scipy.stats import binom\n","# Define all the probability functions related to this distribution\n","def dbinom(x, size, prob = 0.5):\n","    \n","    #Calculates the point estimate of the binomial distribution\n","    result = binom.pmf(k = x, n = size, p = prob, loc = 0)\n","    return result\n","def pbinom(q, size, prob = 0.5):\n","    #Calculates the cumulative of the binomial distribution\n","    result = binom.cdf(k = q, n = size, p = prob, loc = 0)\n","    return result\n","def qbinom(p, size, prob = 0.5):\n","    #Calculates the quantile function from the binomial distribution\n","    result = binom.ppf(q = p, n = size, p = prob, loc = 0)\n","    return result\n","def rbinom(n, size, prob = 0.5):\n","    #Generates random variables from the binomial distribution\n","    result = binom.rvs(n = size, p = prob, size = n)\n","    return result"]},{"cell_type":"code","execution_count":5,"id":"6cf6313a","metadata":{},"outputs":[{"name":"stdout","output_type":"stream","text":["Probability that a Binomial(10, 0.2) takes the value 2: 0.30198988800000004\n","Probability that a Binomial(10, 0.2) will take a value less than 2: 0.6777995263999999\n","Which value of a Binomial(10, 0.2) has a cumulative probability of 0.9? 4.0\n","Generate 2000 random values from a Binomial(10, 0.2) distribution: [1 4 3 ... 0 0 1]\n"]}],"source":["# Binomial(10, 0.2) distribution where n = 10 is the number of trials and p = 0.2 is the probability of success in a single trial.\n","import numpy as np\n","np.random.seed(42)\n","\n","print(f\"Probability that a Binomial(10, 0.2) takes the value 2: {dbinom(2, size = 10, prob = 0.2)}\")\n","print(f\"Probability that a Binomial(10, 0.2) will take a value less than 2: {pbinom(2, size = 10, prob = 0.2)}\")\n","print(f\"Which value of a Binomial(10, 0.2) has a cumulative probability of 0.9? {qbinom(0.9, size = 10, prob = 0.2)}\")\n","print(f\"Generate 2000 random values from a Binomial(10, 0.2) distribution: {rbinom(2000, size = 10, prob = 0.2)}\")"]},{"cell_type":"code","execution_count":6,"id":"69fd07da","metadata":{},"outputs":[{"data":{"image/png":"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","text/plain":["<Figure size 500x700 with 3 Axes>"]},"metadata":{},"output_type":"display_data"}],"source":["import matplotlib.pyplot as plt\n","\n","np.random.seed(42)\n","\n","size = 10\n","prob = 0.2\n","data = rbinom(2000, size = 10, prob = 0.2)\n","\n","pmf = dbinom(data, size = size, prob = prob)\n","cdf = pbinom(data, size = size, prob = prob)\n","ppf = qbinom(data, size = size, prob = prob)\n","\n","fig, axis = plt.subplots(3, 1, figsize = (5, 7))\n","\n","axis[0].stem(data, pmf, \"r-\")\n","axis[1].stem(data, cdf, \"b-\")\n","axis[2].stem(data, ppf, \"g-\")\n","\n","# Adjust the layout\n","plt.tight_layout()\n","\n","# Show the plot\n","plt.show()"]},{"cell_type":"markdown","id":"8aa7eaa0","metadata":{},"source":["## Exercise 1\n","\n","Write the above functions but for both normal and uniform distributions."]},{"cell_type":"code","execution_count":7,"id":"98d5f012","metadata":{},"outputs":[{"data":{"image/png":"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","text/plain":["<Figure 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","text/plain":["<Figure 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","text/plain":["<Figure size 640x480 with 1 Axes>"]},"metadata":{},"output_type":"display_data"}],"source":["# TODO\n","from scipy.stats import norm\n","import numpy as np\n","import matplotlib.pyplot as plt\n","\n","\n","def dnorm(x, mu=0, sigma=1):\n","    result = norm.pdf(x, loc=mu, scale=sigma)\n","    return result\n","\n","def pnorm(q, mu=0, sigma=1):\n","    result = norm.cdf(q, loc=mu, scale=sigma)\n","    return result\n","\n","def qnorm(p, mu=0, sigma=1):\n","    result = norm.ppf(p, loc=mu, scale=sigma)\n","    return result\n","\n","def rnorm(n, mu=0, sigma=1):\n","    result = norm.rvs(loc=mu, scale=sigma, size=n)\n","    return result\n","\n","x = np.linspace(-5, 5, 1000)\n","\n","# Función de densidad de probabilidad (PDF)\n","plt.plot(x, dnorm(x), label='PDF')\n","plt.title('Función de densidad de probabilidad - Normal')\n","plt.legend()\n","plt.show()\n","\n","# Función de distribución acumulativa (CDF)\n","plt.plot(x, pnorm(x), label='CDF')\n","plt.title('Función de distribución acumulativa - Normal')\n","plt.legend()\n","plt.show()\n","\n","# Variables aleatorias generadas\n","random_data = rnorm(1000)\n","plt.hist(random_data, bins=30, density=True, label='Random Data', alpha=0.6)\n","plt.plot(x, dnorm(x), label='PDF', color='red')\n","plt.title('Variables Aleatorias - Normal')\n","plt.legend()\n","plt.show()"]},{"cell_type":"code","execution_count":8,"id":"8e964890","metadata":{},"outputs":[{"data":{"image/png":"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","text/plain":["<Figure 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","text/plain":["<Figure size 640x480 with 1 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","text/plain":["<Figure size 640x480 with 1 Axes>"]},"metadata":{},"output_type":"display_data"}],"source":["from scipy.stats import uniform\n","\n","def dunif(x, loc=0, scale=1):\n","    result = uniform.pdf(x, loc=loc, scale=scale)\n","    return result\n","\n","def punif(q, loc=0, scale=1):\n","    result = uniform.cdf(q, loc=loc, scale=scale)\n","    return result\n","\n","def qunif(p, loc=0, scale=1):\n","    result = uniform.ppf(p, loc=loc, scale=scale)\n","    return result\n","\n","def runif(n, loc=0, scale=1):\n","    result = uniform.rvs(loc=loc, scale=scale, size=n)\n","    return result\n","\n","x = np.linspace(-2, 2, 1000)\n","\n","# Función de densidad de probabilidad (PDF)\n","plt.plot(x, dunif(x), label='PDF')\n","plt.title('Función de densidad de probabilidad - Uniforme')\n","plt.legend()\n","plt.show()\n","\n","# Función de distribución acumulativa (CDF)\n","plt.plot(x, punif(x), label='CDF')\n","plt.title('Función de distribución acumulativa - Uniforme')\n","plt.legend()\n","plt.show()\n","\n","# Variables aleatorias generada\n","random_data = runif(1000)\n","plt.hist(random_data, bins=30, density=True, label='Random Data', alpha=0.6)\n","plt.plot(x, dunif(x), label='PDF', color='red')\n","plt.title('Variables Aleatorias - Uniforme')\n","plt.legend()\n","plt.show()\n","\n","\n","\n","\n","\n"]}],"metadata":{"interpreter":{"hash":"0f2f6c680cf484319d387fabac80ca4ff4fc33965036e02100b3fe02600f1423"},"kernelspec":{"display_name":"Python 3.10.1 64-bit","language":"python","name":"python3"},"language_info":{"codemirror_mode":{"name":"ipython","version":3},"file_extension":".py","mimetype":"text/x-python","name":"python","nbconvert_exporter":"python","pygments_lexer":"ipython3","version":"3.11.4"}},"nbformat":4,"nbformat_minor":5}
diff --git a/notebook/solutions.ipynb b/notebook/solutions.ipynb
index dfd430e6..346b935c 100644
--- a/notebook/solutions.ipynb
+++ b/notebook/solutions.ipynb
@@ -1 +1 @@
-{"cells":[{"cell_type":"markdown","id":"b967ebc8","metadata":{},"source":["# Probability distribution solutions"]},{"cell_type":"markdown","id":"c9b71587","metadata":{},"source":["## Normal distribution"]},{"cell_type":"code","execution_count":1,"id":"31cfe823","metadata":{},"outputs":[],"source":["from scipy.stats import norm\n","\n","# Define all the probability functions related to this distribution\n","\n","def dnorm(x, mean = 0, std = 1):\n","    \"\"\"\n","    Calculates the density of the normal distribution\n","    \"\"\"\n","    result = norm.pdf(x, loc = mean, scale = std)\n","\n","    return result\n","\n","def pnorm(x, mean = 0, std = 1):\n","    \"\"\"\n","    Calculates the cumulative of the normal distribution\n","    \"\"\"\n","    result = norm.cdf(x = x, loc = mean, scale = std)\n","\n","    return result\n","\n","def qnorm(p, mean = 0, std = 1):\n","    \"\"\"\n","    Calculates the quantile function from the normal distribution\n","    \"\"\"\n","    result = norm.ppf(q = p, loc = mean, scale = std)\n","\n","    return result\n","\n","def rnorm(n, mean = 0, std = 1):\n","    \"\"\"\n","    Generates random variables from the normal distribution\n","    \"\"\"\n","    result = norm.rvs(size = n, loc = mean, scale = std)\n","\n","    return result"]},{"cell_type":"code","execution_count":2,"id":"69fd676b","metadata":{},"outputs":[{"data":{"image/png":"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","text/plain":["<Figure size 500x700 with 3 Axes>"]},"metadata":{},"output_type":"display_data"}],"source":["import matplotlib.pyplot as plt\n","import numpy as np\n","\n","np.random.seed(42)\n","\n","mean = 0\n","std = 1\n","data = np.arange(-5, 5, 0.01)\n","\n","pmf = dnorm(data, mean = mean, std = std)\n","cdf = pnorm(data, mean = mean, std = std)\n","ppf = qnorm(data, mean = mean, std = std)\n","\n","fig, axis = plt.subplots(3, 1, figsize = (5, 7))\n","\n","axis[0].plot(data, pmf, \"r-\")\n","axis[1].plot(data, cdf, \"b-\")\n","axis[2].plot(data, ppf, \"g-\")\n","\n","# Adjust the layout\n","plt.tight_layout()\n","\n","# Show the plot\n","plt.show()"]},{"cell_type":"markdown","id":"4d723eed","metadata":{},"source":["## Uniform distribution"]},{"cell_type":"code","execution_count":3,"id":"6aa7367d","metadata":{},"outputs":[],"source":["from scipy.stats import uniform\n","\n","#Uniforme\n","def dunif(x, low = 0, high = 1):\n","    \"\"\"\n","    Calculates the point estimate of the uniform distribution\n","    \"\"\"\n","    result = uniform.pdf(x, loc = low, scale = (high - low))\n","\n","    return result\n","\n","def punif(q, low = 0, high = 1):\n","    \"\"\"\n","    Calculates the cumulative of the uniform distribution\n","    \"\"\"\n","    result = uniform.cdf(q, loc = low, scale = (high - low))\n","\n","    return result\n","\n","def qunif(p, low = 0, high = 1):\n","    \"\"\"\n","    Calculates the quantile function from the uniform distribution\n","    \"\"\"\n","    result = uniform.ppf(p, loc = low, scale = (high - low))\n","\n","    return result\n","\n","def runif(n, low = 0, high = 1):\n","    \"\"\"\n","    Generates random variables from the uniform distribution\n","    \"\"\"\n","    result = uniform.rvs(loc = low, scale = (high - low), size = n)\n","\n","    return result"]},{"cell_type":"code","execution_count":4,"id":"3a17023b","metadata":{},"outputs":[{"data":{"image/png":"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","text/plain":["<Figure size 500x700 with 3 Axes>"]},"metadata":{},"output_type":"display_data"}],"source":["np.random.seed(42)\n","\n","low = 0\n","high = 1\n","data = np.arange(-5, 5, 0.01)\n","\n","pmf = dunif(data, low = low, high = high)\n","cdf = punif(data, low = low, high = high)\n","ppf = qunif(data, low = low, high = high)\n","\n","fig, axis = plt.subplots(3, 1, figsize = (5, 7))\n","\n","axis[0].plot(data, pmf, \"r-\")\n","axis[1].plot(data, cdf, \"b-\")\n","axis[2].plot(data, ppf, \"g-\")\n","\n","# Adjust the layout\n","plt.tight_layout()\n","\n","# Show the plot\n","plt.show()"]}],"metadata":{"interpreter":{"hash":"9248718ffe6ce6938b217e69dbcc175ea21f4c6b28a317e96c05334edae734bb"},"kernelspec":{"display_name":"Python 3.9.12 ('ML-BOOTCAMP')","language":"python","name":"python3"},"language_info":{"codemirror_mode":{"name":"ipython","version":3},"file_extension":".py","mimetype":"text/x-python","name":"python","nbconvert_exporter":"python","pygments_lexer":"ipython3","version":"3.11.4"}},"nbformat":4,"nbformat_minor":5}
+{"cells":[{"cell_type":"markdown","id":"c9b71587","metadata":{},"source":["## Normal distribution"]},{"cell_type":"code","execution_count":1,"id":"31cfe823","metadata":{},"outputs":[],"source":["from scipy.stats import norm\n","\n","# Define all the probability functions related to this distribution\n","\n","def dnorm(x, mean = 0, std = 1):\n","    \"\"\"\n","    Calculates the density of the normal distribution\n","    \"\"\"\n","    result = norm.pdf(x, loc = mean, scale = std)\n","\n","    return result\n","\n","def pnorm(x, mean = 0, std = 1):\n","    \"\"\"\n","    Calculates the cumulative of the normal distribution\n","    \"\"\"\n","    result = norm.cdf(x = x, loc = mean, scale = std)\n","\n","    return result\n","\n","def qnorm(p, mean = 0, std = 1):\n","    \"\"\"\n","    Calculates the quantile function from the normal distribution\n","    \"\"\"\n","    result = norm.ppf(q = p, loc = mean, scale = std)\n","\n","    return result\n","\n","def rnorm(n, mean = 0, std = 1):\n","    \"\"\"\n","    Generates random variables from the normal distribution\n","    \"\"\"\n","    result = norm.rvs(size = n, loc = mean, scale = std)\n","\n","    return result"]},{"cell_type":"code","execution_count":2,"id":"69fd676b","metadata":{},"outputs":[{"data":{"image/png":"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","text/plain":["<Figure size 500x700 with 3 Axes>"]},"metadata":{},"output_type":"display_data"}],"source":["import matplotlib.pyplot as plt\n","import numpy as np\n","\n","np.random.seed(42)\n","\n","mean = 0\n","std = 1\n","data = np.arange(-5, 5, 0.01)\n","\n","pmf = dnorm(data, mean = mean, std = std)\n","cdf = pnorm(data, mean = mean, std = std)\n","ppf = qnorm(data, mean = mean, std = std)\n","\n","fig, axis = plt.subplots(3, 1, figsize = (5, 7))\n","\n","axis[0].plot(data, pmf, \"r-\")\n","axis[1].plot(data, cdf, \"b-\")\n","axis[2].plot(data, ppf, \"g-\")\n","\n","# Adjust the layout\n","plt.tight_layout()\n","\n","# Show the plot\n","plt.show()"]},{"cell_type":"markdown","id":"4d723eed","metadata":{},"source":["## Uniform distribution"]},{"cell_type":"code","execution_count":3,"id":"6aa7367d","metadata":{},"outputs":[],"source":["from scipy.stats import uniform\n","\n","#Uniforme\n","def dunif(x, low = 0, high = 1):\n","    \"\"\"\n","    Calculates the point estimate of the uniform distribution\n","    \"\"\"\n","    result = uniform.pdf(x, loc = low, scale = (high - low))\n","\n","    return result\n","\n","def punif(q, low = 0, high = 1):\n","    \"\"\"\n","    Calculates the cumulative of the uniform distribution\n","    \"\"\"\n","    result = uniform.cdf(q, loc = low, scale = (high - low))\n","\n","    return result\n","\n","def qunif(p, low = 0, high = 1):\n","    \"\"\"\n","    Calculates the quantile function from the uniform distribution\n","    \"\"\"\n","    result = uniform.ppf(p, loc = low, scale = (high - low))\n","\n","    return result\n","\n","def runif(n, low = 0, high = 1):\n","    \"\"\"\n","    Generates random variables from the uniform distribution\n","    \"\"\"\n","    result = uniform.rvs(loc = low, scale = (high - low), size = n)\n","\n","    return result"]},{"cell_type":"code","execution_count":4,"id":"3a17023b","metadata":{},"outputs":[{"data":{"image/png":"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","text/plain":["<Figure size 500x700 with 3 Axes>"]},"metadata":{},"output_type":"display_data"}],"source":["np.random.seed(42)\n","\n","low = 0\n","high = 1\n","data = np.arange(-5, 5, 0.01)\n","\n","pmf = dunif(data, low = low, high = high)\n","cdf = punif(data, low = low, high = high)\n","ppf = qunif(data, low = low, high = high)\n","\n","fig, axis = plt.subplots(3, 1, figsize = (5, 7))\n","\n","axis[0].plot(data, pmf, \"r-\")\n","axis[1].plot(data, cdf, \"b-\")\n","axis[2].plot(data, ppf, \"g-\")\n","\n","# Adjust the layout\n","plt.tight_layout()\n","\n","# Show the plot\n","plt.show()"]}],"metadata":{"interpreter":{"hash":"9248718ffe6ce6938b217e69dbcc175ea21f4c6b28a317e96c05334edae734bb"},"kernelspec":{"display_name":"Python 3.9.12 ('ML-BOOTCAMP')","language":"python","name":"python3"},"language_info":{"codemirror_mode":{"name":"ipython","version":3},"file_extension":".py","mimetype":"text/x-python","name":"python","nbconvert_exporter":"python","pygments_lexer":"ipython3","version":"3.11.4"}},"nbformat":4,"nbformat_minor":5}