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?
a
62%
b
38%
c
29%
d
53%
The probability can be found by taking the number of females who said "a great deal" and dividing it by the total number of respondents who said "a great deal":
200/323 = 0.62 or 62%
Therefore, the answer is (a) 62%.
62% is correct (I took the quiz)
Great! I'm glad to hear that. If you have any more questions or need further assistance, feel free to ask.
To find the probability that a respondent who believes penguins are threatened "a great deal" is female, you need to divide the number of females who believe penguins are threatened "a great deal" by the total number of respondents who believe penguins are threatened "a great deal."
According to the table, the number of females who believe penguins are threatened "a great deal" is 200.
The total number of respondents who believe penguins are threatened "a great deal" is 323.
To find the probability, divide the number of females by the total number of respondents and multiply by 100 to express it as a percentage:
(200 / 323) * 100 = 61.86%
Approximately, the probability that a respondent who believes penguins are threatened "a great deal" is female is 62%.
Therefore, the correct answer is a) 62%.