5. There are 5 white balls and 3 black balls in a bag. Let X be the number of draws with replacement till the first white ball is taken. Find the distribution of X.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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5. There are 5 white balls and 3 black balls in a bag. Let X be
the number of draws with replacement till the first white ball is
taken. Find the distribution of X.
Transcribed Image Text:5. There are 5 white balls and 3 black balls in a bag. Let X be the number of draws with replacement till the first white ball is taken. Find the distribution of X.
Expert Solution
Step 1: We have given

Let X be the trial on which the 1st success occurs.

p be the probability of success.

Total = 5 + 3 = 8

White ball = 5, Black ball = 3

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