If X is a Binomial random variable with parameter (n, p), where 0< p <1, then as k goes from 0 ton, P(X= k) first increase monotonically and then decrease monotonically, reaching its largest values. (a) Show that k is the largest integer which is less than or equal to (n+1)p. (Hint: You may use P(X=k)/ P(X=k-1).) (b) Using the relationship obtained in (a), find P(X=0), P(X = 1) and P(X=2) for X Binomial(6,0.4). ~

If X is a Binomial random variable with parameter (n, p), where 0< p <1, then as k goes from 0 ton, P(X= k) first increase monotonically and then decrease monotonically, reaching its largest values. (a) Show that k is the largest integer which is less than or equal to (n+1)p. (Hint: You may use P(X=k)/ P(X=k-1).) (b) Using the relationship obtained in (a), find P(X=0), P(X = 1) and P(X=2) for X Binomial(6,0.4). ~

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...

See similar textbooks