In a local survey,100 citizens indicated their opinions on a revision to a local land use plan.Of the 62 favorable responses,there were 40 males.Of the 38 unfavorable responses,there were 15 males.If one citizen is randomly selected find the probability A female or has an unfavorable opinion
A)0.83
B)0.17
C)0.51
D)0.60
E)0.61

Question

Quizplus · Accepted Answer

To find the probability that a randomly selected citizen is a female or has an unfavorable opinion, we need to use the formula:
P(female or unfavorable) = P(female) + P(unfavorable) - P(female and unfavorable)

First, we need to find the probability of selecting a female, which is:
P(female) = (100 - 40) / 100 = 0.6

Next, we need to find the probability of selecting someone with an unfavorable opinion, which is:
P(unfavorable) = 38 / 100 = 0.38

Finally, we need to find the probability of selecting someone who is both female and has an unfavorable opinion, which is:
P(female and unfavorable) = 23 / 100

Using these values in the formula, we get:
P(female or unfavorable) = 0.6 + 0.38 - 0.23 = 0.75

Therefore, the answer is D) 0.60.

In a Local Survey,100 Citizens Indicated Their Opinions on a Revision