Answered: 5. Let X be the random variable that…

5. Let X be the random variable that represents the number of hearts in a 4 card hand drawn from a standard deck. (a) What is the probability distribution of X?

Operations Research : Applications and Algorithms

4th Edition

ISBN:9780534380588

Author:Wayne L. Winston

Publisher:Wayne L. Winston

Chapter12: Review Of Calculus And Probability

Section12.5: Random Variables, Mean, Variance, And Covariance

Problem 5P

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Concept explainers

Random Variables

A random variable Z is a real valued function of the type Z: S → R on a sample space S. That means the function assigns a real number to every primitive event in the sample space. In other words, a random variable is a function mapping a sample space S to a set of real numbers R.

Question

5. Let X be the random variable that represents the number of hearts in a 4 card hand drawn from a
standard deck.
(a) What is the probability distribution of X?
(b) What is the expected value of X?

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