1.Given a random sample size of n=900 from a binomial probability distribution with P=0.20, complete parts a. through e. below.

a. Find the probability that the number of successes is greater than 215.

P(X>215)=???????(Round to four decimal places asneeded.)

b. Find the probability that the number of successes is fewer than 170.

P(X<170)=???????Round to four decimal places asneeded.)

c. Find the probability that the number of successes is between 155 and 204.

P(155

d. With probability 0.40, the number of successes is fewer than howmany?

P(X

(Round to the nearest whole number asneeded.)

e. With probability 0.06, the number of successes is greater than howmany?

P(X>??????)=0.06

(Round to the nearest whole number asneeded.)