Let x be a binomial random variable with n 20 and p 01 a C

Let x be a binomial random variable with n = 20 and p = 0.1. (a) Calculate P(x 2) using the Cumulative Binomial Probabilities table to obtain the exact binomial probability. (Enter your answer to three decimal places.) P(x 2) =

(b) Use the Poisson approximation to calculate

P(x 2).

(Round your answer to three decimal places.)

P(x 2)

Solution

Let x be a binomial random variable with n = 20 and p = 0.1. (a) Calculate P(x 2) using the Cumulative Binomial Probabilities table to obtain the exact binomial probability. (Enter your answer to three decimal places.)

P(x 2) = 0.677

(b) Use the Poisson approximation to calculateP(x 2).

(Round your answer to three decimal places.)

Expectation = np = 2

Variance = np(1 - p) = 1.8

=2

P(x 2)= 0.677