A certain chromosome defect occurs in only 1 in180adult Caucasian males. A random sample ofn= 100adult Caucasian males is to be obtained.(a) What is the mean value of the sample proportionp, and what is the standard deviation of the sample proportion? (Enter your mean as an exact integer, fraction, or decimal. Round your standard deviation to five decimal places.)

mean
standard deviation

(b) Doesphave approximately a normal distribution in this case? Explain.

Yes, becausenp< 10 andn(1p) < 10.Yes, becausenp> 10 andn(1p) > 10.No, becausenp< 10.No, becausenp> 10.

(c) What is the smallest value ofnfor which the sampling distribution ofpis approximately normal?

n=adult Caucasian males