Suppose that Y is a random variable that takes on only integer values 1, 2, ... and has distribution function F(y). Show that the probability function p(y) = P(Y = y) is given by the following.y = 1,p(v) =Fv) - Fly - 1),y = 2, 3, ...Since Y takes on only non-negative integer values, when y > 1 we know P(Y = y) = p(y) can be written as p(y) = -Select--♥. By definition F(v) = P(Y ? y).And sop(y) = -Select---v. Finally, since Y 21 we know p(1) = -Select--v. And so, we know p(1) = ---Select-

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Suppose that Y is a random variable that takes on only integer values 1, 2, ... and has distribution function F(y). Show that the probability function p(y) = P(Y = y) is given by the following. y = 1, p(y) = F(Y) - F(y - 1), y = 2, 3, ... Since Y takes on only non-negative integer values, when y > 1 we know P(Y = y) = p(y) can be written as p(y) = -Select-- v. By definition F(v) = P(Y ?v y). And so p(y) = --Select-- v. Finally, since Y 2 1 we know p(1) = -Select--- v. And so, we know p(1) = --Select-- v

Suppose that Y is a random variable that takes on only integer values 1, 2, ... and has distribution function F(y). Show that the probability function p(y) = P(Y = y) is given by the following. y = 1, p(y) = F(Y) - F(y - 1), y = 2, 3, ... Since Y takes on only non-negative integer values, when y > 1 we know P(Y = y) = p(y) can be written as p(y) = -Select-- v. By definition F(v) = P(Y ?v y). And so p(y) = --Select-- v. Finally, since Y 2 1 we know p(1) = -Select--- v. And so, we know p(1) = --Select-- v

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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