In: Statistics and Probability
A private equity firm is evaluating two alternative investments.
Although the returns are random, each investment's return
can be described using a normal distribution. The first investment
has a mean return of $2000000 with a standard
deviation of $125000 . The second investment has a mean return of $
2275000 with a standard deviation of $ 300000 .
Complete parts a through c below.
a. How likely is it that the first investment will return
$1,800,000 or less?
The probability is .
(Round to four decimal places as needed.)
b. How likely is it that the second investment will return
$1,800,000 or less?
The probability is .
(Round to four decimal places as needed.)
c. If the firm would like to limit the probability of a return
being less than $1,650,000, which investment should it make?
The probability of a return being less than $1650000 is with the
first investment and with
the second investment, so the firm should make the (1)
investment.
(Round to four decimal places as needed