Agroup of men and women were asked what their favorite pet was, and the results of the survey were tabulated. petey is considering investing $19 in a certain company. financial advisors forecast that there is a 30% chance that the stock will increase in value by 10%, and a 70% chance he will lose his initial investment. determine if petey should make the investment, and find the expected value of the investment.

You question is of two parts.
For the first part:
A group of men and women were asked what their favorite pet was, and the results of the survey were tabulated.



Let event A be defined as randomly choosing someone who picked cats or dogs as their favorite pet. Let event B be defined as a randomly chosen person being male.
Find P(B| NOT A).

P(A) = P(choosing cat) + P(choosing dog) =
P(NOT A) =
P(B and NOT A) = P(males that did not choose cat or dog) =

P(B | NOT A) =

For the second part of the question.
Petey is considering investing $19 in a certain company. Financial advisors forecast that there is a 30% chance that the stock will increase in value by 10%, and a 70% chance he will lose his initial investment. Determine if Petey should make the investment, and find the expected value of the investment.

If his investment increases by 10%, the value of the investment will be 1.1 x $19 = $20.90 with a probability of 30% or 0.3

The expected value of the investment is given by


Therefore, Petey should not make the investment as there is an expectation of a loss from the investment.