A recent social survey asked whether respondents believed that Antarctic penguins were threatened. The responses are summarized in the table below.
Answer Male Female Total
A great deal 123 200
323
Some 150 164 314
Not at all 28 16 44
Total 301 380 681
A respondent is randomly selected among those who believe that penguins are threatened
"a great deal." Approximately what is the probability that this respondent will be female?

This question is incomplete because the options are missing; here is the missing section:

A respondent is randomly selected among those who believe that penguins are threatened  "a great deal." Approximately what is the probability that this respondent will be female?

A. 29%

B. 38%

C. 53%

D. 62%

The correct answer to this question is D. 62%

Explanation:

The general formula to calculate the probability of one simple event is to divide the number of outcomes that will lead to the specific event, by the number of total outcomes. In the case presented, we know the total of people who answered penguins are threatened "a great deal" is 323, which represents the total of outcomes. Additionally, as we need to find out the probability of a respondent in this category is a female, the number of ways this specific event can happen is 200 (total number of female respondents).

This means the probability is equal to 200 (number of female respondents) / 323 (total respondents) which is equivalent to 0.619 or 0.62 if the number is rounded. Additionally, this probability can be expressed as a percentage by multiplying this by 100, which means the probability is 62%.

a

step-by-step explanation: