Let x be a random variable that represents the level of glucose in the blood (milligrams per deciliter of blood) after a 12-hour fast. Assume that for people under 50 years old, x has a distribution that is approximately normal, with mean ? = 56 and estimated standard deviation ? = 22. A test result x < 40 is an indication of severe excess insulin, and medication is usually prescribed. A)What is the probability that, on a single test, x < 40? (Round your answer to four decimal places.) B)Suppose a doctor uses the average x for two tests taken about a week apart. What can we say about the probability distribution of x? a.The probability distribution of x is not normal. b.The probability distribution of x is approximately normal with ?x = 56 and ?x = 22.     c.The probability distribution of x is approximately normal with ?x = 56 and ?x = 15.56. d.The probability distribution of x is approximately normal with ?x = 56 and ?x = 11.00. What is the probability that x < 40? (Round your answer to four decimal places.) C) Repeat part (b) for n = 3 tests taken a week apart. (round answer 4 decimal places) D)Repeat part (b) for n = 5 tests taken a week apart. (Round your answer to four decimal places.) E)Compare your answers to parts (a), (b), (c), and (d). Did the probabilities decrease as n increased?

Let x be a random variable that represents the level of glucose in the blood (milligrams per deciliter of blood) after a 12-hour fast. Assume that for people under 50 years old, x has a distribution that is approximately normal, with mean ? = 56 and estimated standard deviation ? = 22. A test result x < 40 is an indication of severe excess insulin, and medication is usually prescribed.

A)What is the probability that, on a single test, x < 40? (Round your answer to four decimal places.)

B)Suppose a doctor uses the average x for two tests taken about a week apart. What can we say about the probability distribution of x?

a.The probability distribution of x is not normal.

b.The probability distribution of x is approximately normal with ?_x = 56 and ?_x = 22.    

c.The probability distribution of x is approximately normal with ?_x = 56 and ?_x = 15.56.

d.The probability distribution of x is approximately normal with ?_x = 56 and ?_x = 11.00.

What is the probability that x < 40? (Round your answer to four decimal places.)

C) Repeat part (b) for n = 3 tests taken a week apart. (round answer 4 decimal places)

D)Repeat part (b) for n = 5 tests taken a week apart. (Round your answer to four decimal places.)

E)Compare your answers to parts (a), (b), (c), and (d). Did the probabilities decrease as n increased?