2. An urn contains an urn containing 3 blue balls and 2 red balls. Balls are removed from the urn until the first red ball comes out. If X is the number of balls drawn until the first red ball comes out, a. Find the probability distribution of X and plot your graph b. What is the most likely number of extractions? Which one is the least likely? c. What is the average number of extractions that have to be made until the first red ball appears? d. What is the dispersion of the values ​​of X?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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2. An urn contains an urn containing 3 blue balls and 2 red balls. Balls are removed from the urn until the first red ball comes out. If X is the number of balls drawn until the first red ball comes out,

a. Find the probability distribution of X and plot your graph

b. What is the most likely number of extractions? Which one is the least likely?

c. What is the average number of extractions that have to be made until the first red ball appears? d. What is the dispersion of the values ​​of X?

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