question 1

Suppose that the time required to complete a 1040R tax form is normal distributed with a mean of 90 minutes and a standard deviation of 10 minutes. What proportion of 1040R tax forms will be completed in at least 78 minutes? Round your answer to at least four decimal places. X ?Seventy million pounds of trout are grown in the U.S. everyI year. Fannraised trout contain an average (mean) of 32 grams of fat per pound, with a standard deviation of 7.5 grams of fat per pound. A random sample of 35 farmraised trout is selected. The mean fat content for the sample is 30.7 grams per pound. Find the probability of observing a sample mean of 30.7 grams of fat per pound or less in a random sample of 35 farmraised trout. Cam.r your intermediate computations to at least four decimal places. Round your answer to at least three decimal places. [D xo'? beats beats Suppose that pulse rates among healthy adults are normally distributed with a mean of 81 and a standard deviation of 8 What proportion of minute minute beats healthy adults have pulse rates that are at least 65 ? Round your answer to at least four decimal places. minute X ?The Credit Risk Department of a major bank estimates the default rate on loans under $10,000 to be 2%. A random sample of 1600 new loans that are under $10,000 is going to be selected. Let p be the proportion of defaults on the loans in the sample. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of p. X 5 O (b) Find the standard deviation of p. (c) Compute an approximation for P (p