In a large population of adults, the mean IQ is 112 with a standard deviation of 15. Suppose 45 adults are randomly selected for a market research campaign.(Round to 2 decimal places for all z-values and round all other answers to 4 decimal places, if needed.) (a) The distribution of IQ is approximately normalis exactly normalmay or may not be normalis certainly skewed. (b) The distribution of the sample mean IQ is approximately normalexactly normalnot normalleft-skewedright-skewed with a mean of and a standard deviation of . (c) The probability that the sample mean IQ is less than 110 is . (d) The probability that the sample mean IQ is greater than 110 is . (e) The probability that the sample mean IQ is between 110 and 116 is