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5. There are 6 white balls and 4 black balls in a pocket. Take any one without replacement, and define the r.v. X as the number of balls that are taken out when the white ball is taken out for the first time. a) Find the pmf of X. b) If the black ball is taken out, it will not be put back, and another white ball will be put in. Find the pmf of X.

5. There are 6 white balls and 4 black balls in a pocket. Take any one without replacement, and define the r.v. X as the number of balls that are taken out when the white ball is taken out for the first time. a) Find the pmf of X. b) If the black ball is taken out, it will not be put back, and another white ball will be put in. Find the pmf of X.

A First Course in Probability (10th Edition)
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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5. There are 6 white balls and 4 black balls in a pocket. Take any one without replacement, and define the r.v. X as the number of balls that are taken out when the white ball is taken out for the first time. a) Find the pmf of X. b) If the black ball is taken out, it will not be put back, and another white ball will be put in. Find the pmf of X.
Transcribed Image Text:5. There are 6 white balls and 4 black balls in a pocket. Take any one without replacement, and define the r.v. X as the number of balls that are taken out when the white ball is taken out for the first time. a) Find the pmf of X. b) If the black ball is taken out, it will not be put back, and another white ball will be put in. Find the pmf of X.
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