6) Use the binomial formula to calculate the following probabilities for an experiment in which n= 5 and p = 0.55.

a. the probability that x is at most 1 is

b. the probability that x is at least 4 is

c. the probability that x is less than 1 is

(Round to four decimal places as needed)

7) If a binomial distribution applies with a sample size of n=20, find the values below

a) the probability of 5 successes if the probability of a success is 0.40

b) the probability of at least 7 successes if the probability of a success is 0.35

c) the expected value, n = 20, p=0.50

d) the standard deviation, n=20, p=0.50

(Round to four decimal places as needed)