Based on pastexperience, a bank believes that 12% of the people who receive loans will not make payments on time. The bank has recently approved 400 loans. Answer the following questions.

a) What are the mean and standard deviation of the proportion of clients in this group who may not make timelypayments?

(p)=

SD p= (Round to three decimal places asneeded.)

b) What assumptions underlie yourmodel? Are the conditionsmet?

A. With reasonable assumptions about thesample, all the conditions are met.

B. The10% condition is not met.

C. The randomization condition is not met.

D. The randomization and10% conditions are not met.

E. Thesuccess/failure condition is not met.

F. The10% andsuccess/failure conditions are not met.

G. The randomization andsuccess/failure conditions are not met.

H. Without unreasonableassumptions, none of the conditions are met.

c) What is the probability that over 19% of these clients will not make timelypayments?

P (Round to three decimal places asneeded.)