Question

A) Suppose that in a certain country, males between the ages of 40 and 49 eat on average 102.7 g of fat every day with a standard deviation of 4.35 g. Assume that the amount of fat a person eats is normally distributed.

Find the probability that a man age 40-49 from this country eats more than 110 g of fat every day.
P(x > 110) =

Find the probability that a man age 40-49 from this country eats less than 93 g of fat every day.
P(x < 93) =

Find the probability that a man age 40-49 from this country eats less than 64 g of fat every day.
P(x < 64) =

What daily fat level do 5% of all men age 40-49 from this country eat more than? Round to one decimal place.
____ g.

B) Suppose a dishwasher has a mean life of 15 years with an estimated standard deviation of 1.22 years. Assume the life of a dishwasher is normally distributed.

Find the probability that a dishwasher will last more than 17 years. Round to four decimal places.
P(x > 17) =

Find the probability that a dishwasher will last less than 8 years. Round to four decimal places.
P(x < 8) =

Find the probability that a dishwasher will last between 10 and 13 years. Round to four decimal places.
P(10 < x < 13) =

A manufacturer of dishwashers only wants to replace free of charge 5% of all dishwashers. How long should the manufacturer make the warranty period? Round to the nearest whole number.
______ years

Answer 1