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.
(a) State the distribution of X .
X ~ N ( _____, _____)
(b) Find the probability that the person is between 65 and 69 inches.
Round your answer to four decimal places, if necessary.
The probability that the person is between 65 and 69 inches is______.
(c) Would you expect to meet many Asian adult males over 74 inches? Explain why or why not, and justify your answer numerically.
*Yes, the probability that an Asian male is over 74 inches tall is 0.0007 .
*Yes, the probability that an Asian male is over 74 inches tall is 0.9993 .
*No, the probability that an Asian male is over 74 inches tall is 0.0007 .
*No, the probability that an Asian male is over 74 inches tall is 0.9993 .
*There is not enough information.