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distribution Let a random experiment be the cast of a pair of unbiased dice, each having six faces, and let the random variable X denote the sum of the dice. (a) With reasonable assumptions, determine the p.m.f. f(x) of X. HINT: Picture the outcome space consisting of the 36 points (result on first die, result on second die), and assume that each has probability 1/36. Find the probability for each possible value of X, namely, x = 2,3,4,..., 12. (b) Draw the probability histogram for f(x). (c) Compute the mean and the variance o² of the distribution.

distribution Let a random experiment be the cast of a pair of unbiased dice, each having six faces, and let the random variable X denote the sum of the dice. (a) With reasonable assumptions, determine the p.m.f. f(x) of X. HINT: Picture the outcome space consisting of the 36 points (result on first die, result on second die), and assume that each has probability 1/36. Find the probability for each possible value of X, namely, x = 2,3,4,..., 12. (b) Draw the probability histogram for f(x). (c) Compute the mean and the variance o² of the distribution.

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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distribution Let a random experiment be the cast of a pair of unbiased dice, each having six faces, and let the random variable X denote the sum of the dice. (a) With reasonable assumptions, determine the p.m.f. f(x) of X. HINT: Picture the outcome space consisting of the 36 points (result on first die, result on second die), and assume that each has probability 1/36. Find the probability for each possible value of X, namely, x = 2,3,4,..., 12. (b) Draw the probability histogram for f(x). (c) Compute the mean and the variance o² of the distribution.
Transcribed Image Text:distribution Let a random experiment be the cast of a pair of unbiased dice, each having six faces, and let the random variable X denote the sum of the dice. (a) With reasonable assumptions, determine the p.m.f. f(x) of X. HINT: Picture the outcome space consisting of the 36 points (result on first die, result on second die), and assume that each has probability 1/36. Find the probability for each possible value of X, namely, x = 2,3,4,..., 12. (b) Draw the probability histogram for f(x). (c) Compute the mean and the variance o² of the distribution.
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