In a large population of adults, the mean IQ is 111 with a standard deviation of 22. Suppose 55 adults are randomly selected for a market research campaign. (Round all answers to 4 decimal places, if needed.)

(a) The distribution of IQ is approximately normal is exactly normal may or may not be normal is certainly skewed.

(b) The distribution of the sample mean IQ is approximately normal exactly normal not normal left-skewed right-skewed with a mean of ? and a standard deviation of .

(c) The probability that the sample mean IQ is less than 107 is .

(d) The probability that the sample mean IQ is greater than 107 is .

(e) The probability that the sample mean IQ is between 107 and 117 is