Two balls are randomly chosen (without replacement) from an urn containing 8 white, 4 black and 2 red balls. Suppose that a contestant wins $2 for each black ball selected and looses $1 for each white ball selected. Let X denote the winnings. (a) Write down the probability mass function (PMF) of X. (b) Find the cumulative distribution function (CDF) of X.
Two balls are randomly chosen (without replacement) from an urn containing 8 white, 4 black and 2 red balls. Suppose that a contestant wins $2 for each black ball selected and looses $1 for each white ball selected. Let X denote the winnings. (a) Write down the probability mass function (PMF) of X. (b) Find the cumulative distribution function (CDF) of X.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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please solve explain both part a and b for my understanding
Transcribed Image Text:Two balls are randomly chosen (without replacement) from an urn containing 8
white, 4 black and 2 red balls. Suppose that a contestant wins $2 for each black ball
selected and looses $1 for each white ball selected. Let X denote the winnings.
(a) Write down the probability mass function (PMF) of X.
(b) Find the cumulative distribution function (CDF) of X.
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