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Think of the situation of rolling two dice. Let M denote the sum of the number of dots on the two dice. (Hence, for any trial, M is a random variable that takes integer values from 2 to 12) a. In a table, list all the possible outcomes for the random variable M together with its probability distribution and cumulative probability distribution. Sketch both distributions.

Think of the situation of rolling two dice. Let M denote the sum of the number of dots on the two dice. (Hence, for any trial, M is a random variable that takes integer values from 2 to 12) a. In a table, list all the possible outcomes for the random variable M together with its probability distribution and cumulative probability distribution. Sketch both distributions.

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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3. Think of the situation of rolling two dice. Let M denote the sum of the number of dots on the two dice. (Hence, for any trial, M is a random variable that takes integer values from 2 to 12) a. In a table, list all the possible outcomes for the random variable M together with its probability distribution and cumulative probability distribution. Sketch both distributions. M Possible value of M p(M) Cumm. Prob. Dist. b. Calculate the expected value and the standard deviation of M. M P(M) (М -— Им) (М — Им)? (М — Им)* р(М) c. An inspection of the sketch of the probability distribution indicates that it resembles a normal distribution. Is it possible to use the standard normal distribution to calculate probabilities of events? Why or why not?
Transcribed Image Text:3. Think of the situation of rolling two dice. Let M denote the sum of the number of dots on the two dice. (Hence, for any trial, M is a random variable that takes integer values from 2 to 12) a. In a table, list all the possible outcomes for the random variable M together with its probability distribution and cumulative probability distribution. Sketch both distributions. M Possible value of M p(M) Cumm. Prob. Dist. b. Calculate the expected value and the standard deviation of M. M P(M) (М -— Им) (М — Им)? (М — Им)* р(М) c. An inspection of the sketch of the probability distribution indicates that it resembles a normal distribution. Is it possible to use the standard normal distribution to calculate probabilities of events? Why or why not?
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