A recent survey asked 100 people if they thought women in the armed forces shoul
ID: 3126794 • Letter: A
Question
A recent survey asked 100 people if they thought women in the armed forces should be permitted to participate in combat. The results of the survey are shown.
Find the following probabilities.
a) The respondent answered yes, given that the respondent was a female. Show your work.
b) The respondent was a male, given that the respondent answered no. Show your work.
c) The respondent answers yes or the respondent was a male. Show your work.
Gender Yes No Total Male 32 18 50 Female 8 42 50 Total 40 60 100Explanation / Answer
a) the probability the respondent answered yes, given that the respondent was a female is 8/40 = 1/5.=0.2
b) the probability the respondent answered no , given that the respondent was a male is 18/60 = 3/10.=0.3
c) the probability the respondent answers yes or the respondent was a male is (40/ 100 ) + (50/100)- (32/100) = 58/100. = 0.58
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