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Annual income: The mean annual income for people in a certain city (in thousands of dollars)...

Annual income: The mean annual income for people in a certain city (in thousands of dollars) is 43, with a standard deviation of 23. A pollster draws a sample of 91 people to interview.

(a) What is the probability that the sample mean income is less than 40? Round the answer to at least four decimal places. The probability that the sample mean income is less than 40 is . Part 2 of 5

(b) What is the probability that the sample mean income is between 41 and 44? Round the answer to at least four decimal places. The probability that the sample mean income is between 41 and 44 is . Part 3 of 5

(c) Find the 70th percentile of the sample mean. Round the answer to at least one decimal place. The 70th percentile of the sample mean is . Part 4 of 5

(d) Would it be unusual for the sample mean to be less than 38? Round the answer to at least four decimal places. It ▼(Choose one) unusual because the probability of the sample mean being less than 38 is .

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