(a) A chicken rice chain store conducted a taste survey before marketing its'

newly tasted chicken rice. The results of the survey showed that 85% of the

people who tried this new chicken rice liked it. Excited by this result, the

chain store decided to market this newly taste chicken rice. On a certain day,

ten customers bought this chicken rice for the first time.

i. Find the probability that none of the customers like the chicken rice.

ii. Find the probability that exactly four of the customers will like the

chicken rice.

iii. Calculate the average number of customers that will like the chicken

rice.

(b) Experts claim that 5% of crimes are committed by women. Is there enough

evidence to reject the claim if in a sample of 50 crimes, 5 were committed by

women? Use 5% significant level.