1.The Democrat and Chronicle reported that 25% of the flights arriving at the San Diego airport during the first five months of 2001 were late. Assume the population proportion is p=0.25

a)Show the sampling distribution of sample proportion, the proportion of late flights in a sample of 400 flights.

b)What is the probability that the sample proportion will be between .22 and .28 if the sample size of 400 is selected?

c)If sample size of 100 is selected, what is the probability that the sample proportion will be between .22 and .28? Is it larger or smaller that the sample size of 400 in above problem b). Why?