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1 2 3 4 5 6 7 8 9 11 12 13 According to a recent survey, the salaries of entry-level positions at a large company have a mean of $40,756 and a standard deviation of $7500. Assuming that the salaries of these entry-level positions are normally distributed, find the proportion of employees in entry-level positions at the company who earn more than $40,000. Round your answer to at least four decimal places. X S 14 2 3 4 5 6 7 8 9 10 11 12 13 14 Fill in the P (X=x) values to give a legitimate probability distribution for the discrete random variable X, whose possible values are -3, - 1, 1, 4, and 6. Value x of X P(X =x) -3 0.21 - 1 0.14 4 0.13 6 X 5Espaol 8 9 10 11 12 13 14 / A rainstorm in Portland, Oregon, wiped out the electricity in 5% of the households in the city. Suppose that a random sample of 60 Portland households is taken 9 after the rainstorm. - Answer the following. (If necessary, consult a list of formulas.) (a) Estimate the number of households in the sample that lost electricity by giving the mean of the relevant distribution X S E (that is, the expectation of the relevant random variable). Do not round your response. : (b) Quantify the uncertainty of your estimate by giving the standard deviation of the distribution. Round your response to at least three decimal places. 1 2 3 4 5 6 7 9 1O 11 12 Suppose Z follows the standard normal distribution. Use the calculator provided, or this table, to determine the value of c so that the following is true. P(Zs c) = 0.7486 Carry your intermediate computations to at least four decimal places. Round your answer to two decimal places. [I] x s A psychologist has designed a questionnaire to measure individuals' aggressiveness. Suppose that the scores on the questionnaire are normally distributed with a standard deviation of 100. Suppose also that exactly 10% of the scores exceed 700. Find the mean of the distribution of scores. Carry your intermediate 8 CE) computations to at least four decimal places. Round your answer to at least one decimal place. [ll 6) 1O 11 12 13 Espa 14 m