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the joint probability distribution of W and Z; (b) the marginal distribution of W; (c) the marginal distribution of Z;

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Counting And Probability

Section9.3: Binomial Probability

Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...

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Question

A coin is being tossed twice. Let Z denote the number of heads on the first toss and W the total number of heads on the 2 tosses. If the coin is unbalanced and a head has a 40% chance of occurring, find (a) the joint probability distribution of W and Z; (b) the marginal distribution of W; (c) the marginal distribution of Z; (d) the probability that at least 1 head occurs; (e) P( W=2 │ Z = 1) (f) P( Z=0 │ W = 1) ; (g) Are Z and W independent?

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