According to a study done by De Anza students, the height for Asian adult males is normally distributed with an average of 66 inches and a standard deviation of 2.5 inches. Suppose one Asian adult male is randomly chosen. Let X = height of the individual.

Part (a)

Give the distribution of X.

X ~__________(______,___________)

Part (b)

Find the probability that the person is between 64 and 68 inches.

Write the probability statement.

P(__________

What is the probability? (Round your answer to four decimal places.)

_________________

part C

Would you expect to meet many Asian adult males over 72 inches? Explain why or why not, and justify your answer numerically., No because the probability that an Asian male is over 72 inches tall is____________

.

Part (d)

The middle 40% of heights fall between what two values?

Write the probability statement.

P(x1 < X < x2) =__________

State the two values. (Round your answers to one decimal place.)

x1 = _________

x2 = ___________