A brand name has a 40% recognition rate. Assume the owner of the brand wants to verify that rate by beginning with a small sample of 5 randomly selected consumers. Complete parts(a) through(d) below.

a. What is the probability that exactly 4 of the selected consumers recognize the brandname?

The probability that exactly 4 of the 5 consumers recognize the brand name is .

(Round to three decimal places asneeded.)

b. What is the probability that all of the selected consumers recognize the brandname?

The probability that all of the selected consumers recognize the brand name is.

(Round to three decimal places asneeded.)

c. What is the probability that at least 4 of the selected consumers recognize the brandname?

The probability that at least 4 of the selected consumers recognize the brand name is.

(Round to three decimal places asneeded.)

d. If 5 consumers are randomlyselected, is 4 an unusually high number of consumers that recognize the brandname?

A.

No, because the probability that 4 or more of the selected consumers recognize the brand name is greater than 0.05.

B.

No, because the probability that 4 or more of the selected consumers recognize the brand name is less than 0.05.

C.

Yes, because the probability that 4 or more of the selected consumers recognize the brand name is greater than 0.05.

D.

Yes, because the probability that 4 or more of the selected consumers recognize the brand name is less than 0.05.