Mong Corporation makes auto batteries. The company claims that

80% of its LL70 batteries are good for 70 months or longer. Assume that this claim

is true. Let

p

be the proportion in a sample of 100 such batteries that are good for

70 months or longer.

b) What is the probability that this sample proportion is less than the population

proportion by 0.06 or more?

c) What is the probability that this sample proportion is greater than the population

proportion by 0.07 or more?