{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "###
San Jose State University
Department of Applied Data Science
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DATA 220
Mathematical Methods for Data Analysis
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Fall 2020
Instructor: Ron Mak
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MIDTERM EXAMINATION
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Six problems, each worth 25 points, 150 points total.

Open book, notes, and internet. Individual work only!
Be sure to explain your work in comments or by printing intermediate results.
You can use Python code and any Python functions.
You can add your own functions or other support code.

Don't forget the 25 multiple-choice questions in Canvas!
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### PROBLEM 1. What is the probability that a randomly selected leap year contains 53 Sundays?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Since a non-leap year has 52 weeks, it must have 52 Sundays. A leap year with 366 days has 366 - 7*52 = 2 extra days. There are how many possible pairs of consecutive days? How many of those pairs include a Sunday? We can solve this using the following Python code." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "first_day = ['Sunday', 'Monday', 'Tuesday', 'Wednesday', 'Thursday', 'Friday', 'Saturday']\n", "second_day = ['Monday', 'Tuesday', 'Wednesday', 'Thursday', 'Friday', 'Saturday', 'Sunday']\n", "\n", "# Make a list of pairs of consecutive days.\n", "pairs_list = zip(first_day, second_day)\n", "pairs_count = len(first_day)\n", "\n", "print(f'{pairs_count} possible pairs of consecutive days:')\n", "print()\n", "\n", "# Count how many pairs contain a Sunday.\n", "sunday_count = 0;\n", "for pair in pairs_list:\n", " print(pair, end='')\n", " \n", " if 'Sunday' in pair:\n", " sunday_count += 1\n", " print(' contains Sunday!', end='')\n", "\n", " print()\n", " \n", "print()\n", "print(f'{sunday_count} pairs include a Sunday')\n", "\n", "p = sunday_count/pairs_count # probability of the 53rd Sunday\n", "\n", "print(f'Probability of including a Sunday = {p:.4f}')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### PROBLEM 2. The first NASA mission to land men on the moon in July 1969 brought back 64 rock samples. The rock sample had an average weight of 172 ounces on Earth with a variance of 299 ounces squared. Scientists believe that the rock population on the lunar surface does not have a normal distribution. Nevertheless, find a 99% confidence interval for the mean weight of moon rocks." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The fact that the lunar rock population is not normal does not matter since with a sample size of 64, the Central Limit Theorem applies. From the standard normal table, we see that the critical value for z at the 99% confidence level is 2.58, or we can get that critical value by using the scipy.stats.norm.ppf function." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "import math\n", "import scipy.stats as stats\n", "\n", "n = 64 # sample size\n", "x_bar = 172 # sample mean\n", "s = 299 # sample variance\n", "x_sigma = math.sqrt(s) # x_sigma\n", "\n", "level = 99 # confidence level\n", "z_cv = -stats.norm.ppf((1 - level/100)/2) # z critical value\n", "\n", "print(f'z critical value = {z_cv:.2f}')\n", "\n", "interval = z_cv*(x_sigma/math.sqrt(n))\n", "ci_lo = x_bar - interval\n", "ci_hi = x_bar + interval\n", "\n", "print(f'The {level}% confidence interval for the mean weight ' +\n", " f'of moon rocks is ({ci_lo:.2f}, {ci_hi:.2f})')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### PROBLEM 3. Pirate Jack Sparrow buried a treasure chest on one of two islands, named Palau and Nauru. Historians had long believed that it was twice as likely that the treasure is buried on Palau than on Nauru. They've just discovered a map containing directions to find the treasure! But the map is faded, and only a single letter u of the island name is still legible. Does having the map change the probability that the treasure is buried on Palau? If so, how?" ] }, { "cell_type": "raw", "metadata": {}, "source": [ "We can solve this using Bayes' Theorem.\n", "\n", "Prior probabilities: P(Palau) = 2/3\n", " P(Nauru) = 1/3\n", " \n", "Additional information: P(u|Palau) = 1/5\n", " P(u|Nauru) = 2/5\n", "\n", "P(u) = P(Palau)xP(u|Palau) + P(Nauru)xP(u|Nauru) = (2/3)(1/5) + (1/3)(2/5)\n", " = 2/15 + 2/15 \n", " = 4/15\n", " \n", "P(Palau|u) = [P(Palau)xP(u|Palau)]/P(u) = [(2/3)(1/5)]/(4/15)\n", " = (2/15)/(4/15)\n", " = 1/2\n", " \n", "Therefore, having the map means that now both islands are equally likely to contain the treasure." ] }, { "attachments": { "a9d887fe-3582-481e-a16c-080039ac58ef.png": { "image/png": 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" } }, "cell_type": "markdown", "metadata": {}, "source": [ "![PirateTreasure.png](attachment:a9d887fe-3582-481e-a16c-080039ac58ef.png)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "p_palau = 2/3\n", "p_nauru = 1/3\n", "\n", "print(f'P(Palau) = {p_palau:.4f}')\n", "print(f'P(Nauru) = {p_nauru:.4f}')\n", "\n", "p_u_given_palau = 1/5\n", "p_u_given_nauru = 2/5\n", "\n", "print(f'P(u|Palau) = {p_u_given_palau:.4f}')\n", "print(f'P(u|Nauru) = {p_u_given_nauru:.4f}')\n", "\n", "p_u = p_palau*p_u_given_palau + p_nauru*p_u_given_nauru\n", "print(f'P(u) = {p_u:.4f}')\n", "\n", "p_palau_given_u = (p_palau*p_u_given_palau)/p_u\n", "print()\n", "print(f'P(Palau|u) = {p_palau_given_u:.4f}')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### PROBLEM 4. Accidents occur at a busy San Jose traffic intersection despite the traffic signals. Therefore, the city installed an automatic camera to photograph cars that run through red lights. After several days, the police calculated that the average number of violations per hour is 3.7. What is the probability that there will be no more than two violations during the next hour?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is a Poisson distribution problem. Use the scipy.stats.poisson.pmf probability mass function to add the probabilities that 0, 1, or 2 violations can occur." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "import scipy.stats as stats\n", "\n", "avg_violations = 3.7\n", "total = 0\n", "\n", "for v in range(0, 3):\n", " p = stats.poisson.pmf(v, avg_violations)\n", " total += p;\n", " \n", " print(f'P({v} violations) = {p:.3f}')\n", " \n", "print()\n", "print(f'P(no more than 2 violations) = {total:.3f}')\n", " " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### PROBLEM 5. In an exclusive Silicon Valley neighborhood, the selling prices of homes follow a normal distribution with mean \\\\$2,760,000 and standard deviation \\\\$320,000. What is the probability that the next home will sell for between \\\\$2,500,000 and \\\\$3,200,000?" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "hi_price = 3_200_000\n", "lo_price = 2_500_000\n", "mean = 2_760_000\n", "sigma = 320_000\n", "\n", "# We need to find the area under the normal curve between $2,500,000 and $3,200,000. \n", "# To use the standard normal table, first calculate the z scores for 2,500,000 and 3,200,000. \n", "\n", "zlo = (lo_price - mean)/sigma\n", "zhi = (hi_price - mean)/sigma\n", "\n", "print(f'zlo = {zlo:5.2f}')\n", "print(f'zhi = {zhi:5.2f}')" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "# From the standard normal table:\n", "# P(-0.81 < z < 2.31) = P(z < 1.38) - P(z < -0.81) = 0.91621 - 0.20897\n", "\n", "p = 0.91621 - 0.20897\n", "print(f'probability = {p:.4f}')" ] }, { "attachments": { "c31dc11c-c2b3-41df-b0f6-ed99a76bfaf3.png": { "image/png": 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" } }, "cell_type": "markdown", "metadata": {}, "source": [ "![HomePrices.png](attachment:c31dc11c-c2b3-41df-b0f6-ed99a76bfaf3.png)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "# Of course, we could have solved this simply by calling the right Python functions.\n", "\n", "import scipy.stats\n", "\n", "hi_price = 3_200_000\n", "lo_price = 2_500_000\n", "mean = 2_760_000\n", "sigma = 320_000\n", "\n", "distrib = scipy.stats.norm(mean, sigma);\n", "p = distrib.cdf(hi_price) - distrib.cdf(lo_price)\n", "print(f'probability = {p:.4f}')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### PROBLEM 6. Suppose you have four cats named Al, Betty, Cindy, and Dan, and four cat food bowls labeled 1, 2, 3, and 4. Each bowl can hold up to twelve units of food and each cat chooses a separate bowl, but it doesn't matter which cat uses which bowl. For their dinner each day, you put twelve units of cat food into the bowls using a scoop that holds exactly one unit, so each bowl will receive a whole number units of food. In 95% of the days, some of your cats are equally hungry, so you can put the same amount of food into some of the bowls. In only 10% of the days, one or more cats aren't hungry and therefore you can leave some bowls empty. If you always put out the full twelve units of food each day, how many ways can you distribute the food among the four bowls?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To solve this problem, you must first do a bit of data wrangling to weed out extraneous data. The question is how many ways to distribute food among the four bowls. Since the bowls are labeled, they are distinct. The names of the cats is immaterial. The information about 95% and 10% days tells you that it's possible to have bowls with the same amount of food and empty bowls, but the percentages are otherwise immaterial.\n", "\n", "Use a dot to represent one unit of food and a bar to separate the bowls. For example, ...|....|..|... represents 3 units in bowl \\#1, 4 units in bowl \\#2, 2 units in bowl \\#3, and 3 units in bowl \\#4. Also, ....||....|.... represents 4 units each in bowls \\#1, \\#3, and \\#4, and no units in bowls \\#2.\n", "\n", "Therefore, the problem reduces to how many ways to arrange the 12 dots and 3 bars. This is similar to the fruit salad problem." ] }, { "attachments": { "890015ca-b856-4f7c-987d-dc4f581efd95.png": { "image/png": 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" } }, "cell_type": "markdown", "metadata": {}, "source": [ "![Formula.png](attachment:890015ca-b856-4f7c-987d-dc4f581efd95.png)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "import scipy.special\n", "\n", "n = 4 # number of bowls\n", "k = 12 # number of food units\n", "\n", "solution1 = int(scipy.special.binom(n+k-1, k))\n", "solution2 = int(scipy.special.binom(n+k-1, n-1))\n", "\n", "print(f'solution1 = {solution1} ways')\n", "print(f'solution2 = {solution2} ways')" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.7.7" } }, "nbformat": 4, "nbformat_minor": 4 }