Assume that in 2021 the ASX stock returns will be normally distributed with a mean return of 3.1% and a standard deviation of 10%. Complete the questions below.

(C) 2021 Dr StevenSommer, The University of Sydney.

a. For a single stock chosen randmonally from thatpopulation, the probability that it would have a percentage return less than 0 (that is, aloss) is:

(Round to four decimal places asneeded).

b. For a single stock chosen randmonally from thatpopulation, the probability that it would have a percentage return between 9 and 18 is:

(Round to four decimal places asneeded).

c. For a single stock chosen randmonally from thatpopulation, the probability that it would have a percentage return greater than 6 is(Round to four decimal places asneeded).

d. For a random sample of four stocks from thispopulation, the probability that the sample would have a mean percentage return less than 0 (a loss) is (Round to four decimal places asneeded).

e. For a random sample of four stocks from thispopulation, the probability that the sample would have a mean percentage return between 9 and 18 is (Round to four decimal places asneeded).

f. For a random sample of four stocks from thispopulation, the probability that the sample would have a mean percentage return greater than 6 is

(Round to four decimal places asneeded).