2. A coin is flipped until the first head is obtained. Let X (w) be the number of flips needed to obtain the head for the first time. Find the p.d.f. of the random variable X and show that it is a p.d.f. and find the mean and variance.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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2. A coin is flipped until the first head is obtained. Let X (w) be the number of flips needed
to obtain the head for the first time. Find the p.d.f. of the random variable X and show that
it is a p.d.f. and find the mean and variance.
Transcribed Image Text:2. A coin is flipped until the first head is obtained. Let X (w) be the number of flips needed to obtain the head for the first time. Find the p.d.f. of the random variable X and show that it is a p.d.f. and find the mean and variance.
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