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Central Limit Theorem Questions/Solution from p30 notes Ex 2: CLT Find the probability that the mean score is above 140 given 143, 29, n 100 x 143 29 x 2.9 n 100 normalcdf (140, l arg e# ,143, 2.9) Plug into your calculator: Include properly labeled diagram like: Ex 3: Math professors have IQ’s that are normally distributed with a mean of 125 and a standard deviation of 1.2. a. If one math professor is selected at random, find the probability his IQ is greater than 127. (NOT CLT) b. Find the probability that 75 math professors selected at random have IQ’s that have a mean greater than 127. (CLT) normalcdf (127, l arg e# ,125, 1.2) a) b) x 125 1.2 x .139 n normalcdf (127, l arg e# ,125, .139) 75 Include properly labeled diagrams like: