At childrens party, kids toss ping-pong balls into the swimming pool hoping to land inside a plastic
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At children’s party, kids toss ping-pong balls into the swimming pool hoping to land inside a plastic ring (picture a small hula hoop). Let p denote the probability of successfully tossing a ball into the ring, which we will assign a Beta(1, 3) prior distribution. The variable X = number of tosses required to get 5 balls in the ring (at which point the child wins a prize) will be observed for a sample of children.
a. What is a reasonable distribution for the rv X? What are its parameters?
b. The number of tosses required by eight kids was
Determine the posterior distribution of p.
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In this problem we are dealing with the probability of successfully tossing a pingpong ball into a plastic ring at a childrens party We are given that ...View the full answer
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Related Book For 
Modern Mathematical Statistics With Applications
ISBN: 9783030551551
3rd Edition
Authors: Jay L. Devore, Kenneth N. Berk, Matthew A. Carlton
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