1. LetXbe a binomial random variable withn=12andp=0.3.Find the following values. (Round your answers to three decimal places.)(a)

P(X=4)

(b) P(X4)

(c) P(X>4)

(d) P(X4)

(e) =np

=

(f) =

npq

=

2. Consider a binomial random variable with n = 5 and p = 0.7. Let X be the number of successes in the sample. (Round your answers to three decimal places.)(a) Find the probability that X is 3 or less. (b) Find the probability that X is 3 or more. (c) Find P(X < 3). (d) Find P(X = 3). (e) Find P(3 X 4).