Q4. In one region, the September energy consumption levels for single-family homes are found to be normally distributed with a mean of 1050 kwh and a standard deviation of 218 kwh. If 50 different homes are randomly selected, find the probability that their mean energy consumption level for September is between 1042 kwh and 1075 kwh? Find the z scores for 1042 and 1075. Q5. Membership in Mensa requires a score in the top 2% on a standard intelligence test. The Wechsler IQ test is designed for a mean of 100 and a standard deviation of 15, and scores are normally distributed. a) Find the minimum Wechsler IQ test score that satisfies the Mensa requirement. b) If 4 randomly selected adults take the Wechsler IQ test, find the probability that their mean score is at least 131.