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.
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 8CC: (a) An experiment has two outcomes, "success" and "failure„" where the probability of success" is p....
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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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