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PART B Roll a pair of standard six-sided dice 36 times and tabulate your results (i.e., number of 2's, number of 3's,..., number of 12's). Calculate the mean, variance and standard deviation of your data.

PART B Roll a pair of standard six-sided dice 36 times and tabulate your results (i.e., number of 2's, number of 3's,..., number of 12's). Calculate the mean, variance and standard deviation of your data.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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I need part B
PART A Roll a single standard six-sided die 36 times and tabulate your results (i.e., number of 1's, number of 2's,..., number of 6's). Calculate the mean, variance and standard deviation of your data. PART B Roll a pair of standard six-sided dice 36 times and tabulate your results (i.e., number of 2's, number of 3's,..., number of 12's). Calculate the mean, variance and standard deviation of your data. PART C Suppose you have a pair of six-sided dice where each die contains the following sides: (1, 2, 2, 4, 5, 5). In theory, if you rolled this pair of dice 36 times, how many times would you obtain a total of 2, 3, 4, 5, 6, 7, 8, 9 and 10? Using graph paper, plot the distribution of expected values. Calculate the mean, variance, and standard deviation of this distribution. PART D The number of false fire alarms in a suburb of Detroit averages 7.6 per day. Assuming that a Poisson distribution is appropriate: What is the probability that exactly 7 false alarms will occur on a given day? What is the probability that less than 7 false alarms will occur on a given day? What is the probability that more than 7 false alarms will occur on a given day? (Hint: the probabilities of all possible cases must add to one). 1
Transcribed Image Text:PART A Roll a single standard six-sided die 36 times and tabulate your results (i.e., number of 1's, number of 2's,..., number of 6's). Calculate the mean, variance and standard deviation of your data. PART B Roll a pair of standard six-sided dice 36 times and tabulate your results (i.e., number of 2's, number of 3's,..., number of 12's). Calculate the mean, variance and standard deviation of your data. PART C Suppose you have a pair of six-sided dice where each die contains the following sides: (1, 2, 2, 4, 5, 5). In theory, if you rolled this pair of dice 36 times, how many times would you obtain a total of 2, 3, 4, 5, 6, 7, 8, 9 and 10? Using graph paper, plot the distribution of expected values. Calculate the mean, variance, and standard deviation of this distribution. PART D The number of false fire alarms in a suburb of Detroit averages 7.6 per day. Assuming that a Poisson distribution is appropriate: What is the probability that exactly 7 false alarms will occur on a given day? What is the probability that less than 7 false alarms will occur on a given day? What is the probability that more than 7 false alarms will occur on a given day? (Hint: the probabilities of all possible cases must add to one). 1
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