A psychologist has designed a questionnaire to measureindividuals' aggressiveness. Suppose that the scores on thequestionnaire are normally distributed with a standard deviation of80 . Suppose also that exactly 10% of the scores exceed 750 . Findthe mean of the distribution of scores. Carry your intermediatecomputations to at least four decimal places. Round your answer toat least one decimal place 7. suppose that the antenna lengths ofwoodlice are approximately normally distributed with a mean of 0.2inches and a standard deviation of 0.05 inches. What proportion ofwoodlice have antenna lengths that are less than 0.15 inches? Roundyour answer to at least four decimal places. 8. In a certain cityof several million people, 6.8% of the adults are unemployed. If arandom sample of 240 adults in this city is selected, approximatethe probability that at most 14 in the sample are unemployed. Usethe normal approximation to the binomial with a correction forcontinuity. Round your answer to at least three decimal places. Donot round any intermediate steps. (If necessary, consult a list offormulas.)