Allison has owned an interest in a company called John Enterprises (JE). During the same time, Treasuries have yielded a 3% return. JE ha an average return of -3% with a standard deviation of 6%. Assuming the returns are normally distributed, what is the probability that JE w have a return greater than the Treasury securities? O a. 2.5%

The figure in the popup​ window, shows the​ one-year return distribution for RCS stock.​ Calculate: a. The expected return. b. The standard deviation of the return. Note​: Make sure to round all intermediate calculations to at least five decimal places.

The average student loan debt for college graduates is $25,850. Suppose that that distribution is normal and that the standard deviation is $14,000. Let X = the student loan debt of a randomly selected college graduate. Round all probabilities to 4 decimal places and all dollar answers to the nearest dollar. %3D a. What is the distribution of X? X N( b Find the probability that the college graduate has between $21,400 and $34,250 in student loan debt. c. The middle 10% of college graduates' loan debt lies between what two numbers? Low: $ High: $

The average income tax refund for the 2017 tax year was $1997. Assume the refund per person follows the normal probability distribution with a standard deviation of $943. Use this model to answer the following questions. Don’t use Excel formulas – use the tables. Show the standardization and other calculations.   a) For a randomly selected return, what the is probability that the refund exceeds $2500 ?    b) For a randomly selected return, what the is probability that the refund is between $2000 and $3000?    c) What is the 3rd quartile of the refund amount?    d) The 20th percentile?