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5. A total of n balls are tossed into 10 bins as follows: each ball is tossed independently and has an equal probability of 0.1 of falling into Bin i, i = 1,2,..., 10. Let Y denote the number of balls in Bin 1. Let Z denote the total number of balls in Bins 6-10. (a) Determine the pmf of Y. Hint: Think binomial distribution. (b) Determine the pmf of Z. (c) Determine the conditional pmf p(zly). Clearly specify the range of y and z. (d) Determine the conditional pmf p(y|z). Clearly specify the range of y and z.

5. A total of n balls are tossed into 10 bins as follows: each ball is tossed independently and has an equal probability of 0.1 of falling into Bin i, i = 1,2,..., 10. Let Y denote the number of balls in Bin 1. Let Z denote the total number of balls in Bins 6-10. (a) Determine the pmf of Y. Hint: Think binomial distribution. (b) Determine the pmf of Z. (c) Determine the conditional pmf p(zly). Clearly specify the range of y and z. (d) Determine the conditional pmf p(y|z). Clearly specify the range of y and z.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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5. A total of n balls are tossed into 10 bins as follows: each ball is tossed independently and has an equal probability of 0.1 of falling into Bin i, i = 1,2,..., 10. Let Y denote the number of balls in Bin 1. Let Z denote the total number of balls in Bins 6-10. (a) Determine the pmf of Y. Hint: Think binomial distribution. (b) Determine the pmf of Z. (c) Determine the conditional pmf p(zly). Clearly specify the range of y and z. (d) Determine the conditional pmf p(ylz). Clearly specify the range of y and z.
Transcribed Image Text:5. A total of n balls are tossed into 10 bins as follows: each ball is tossed independently and has an equal probability of 0.1 of falling into Bin i, i = 1,2,..., 10. Let Y denote the number of balls in Bin 1. Let Z denote the total number of balls in Bins 6-10. (a) Determine the pmf of Y. Hint: Think binomial distribution. (b) Determine the pmf of Z. (c) Determine the conditional pmf p(zly). Clearly specify the range of y and z. (d) Determine the conditional pmf p(ylz). Clearly specify the range of y and z.
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