Question

Question I conduct a survey, and find out that the proportion of college students who are women is 0. also learn that the proportion of psychology majors is 0.1. Assume that these two variables are indepen What is the probability of randomly selecting a student who is either female or a psychology major? Rou the hundredths place.​

Answer 1

Answer: Since we know that the two variables are independent, we can use the addition rule of probability to find the probability of selecting a student who is either female or a psychology major:

P(female or psychology major) = P(female) + P(psychology major) - P(female and psychology major)

Since the variables are independent, we know that P(female and psychology major) = P(female) x P(psychology major) = 0 x 0.1 = 0.

Therefore:

P(female or psychology major) = 0 + 0.1 - 0 = 0.1

So the probability of randomly selecting a student who is either female or a psychology major is 0.1.

Explanation: