A biased coin, with a 40% chance that a tail will come up, is tossed twice. Let A denote the number of tails on the first toss and B the total number of tails on the 2 tosses. Find A. the joint probability distribution of A and B; B. the marginal distribution of A C. the probability (B≥1) D. the conditional distribution of B given A=1 E. The probability (B≤1/A=1)

A First Course in Probability (10th Edition)
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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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A biased coin, with a 40% chance that a tail will come up, is tossed twice. Let A denote the number of tails on the first toss and B the total number of tails on the 2 tosses. Find

A. the joint probability distribution of A and B;

B. the marginal distribution of A

C. the probability (B≥1)

D. the conditional distribution of B given A=1

E. The probability (B≤1/A=1)

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