Question: Forty –six percent of a population possesses a particular characteristic. Random samples are taken from the population. Determine the probability of each of the following occurrences.

a. The sample size is 60 and the sample proportion is between .41 and .53.

b. The sample size is 458 and the sample proportion is less than .40.

c. The sample size is 1350 and the sample proportion is greater than .49