The probability that a randomly selected professor is female and feels "About Right" is 0.40
The distribution table :
____About right _ Oweight _ Uweight __ Total
Female _ 80 _____ 39 ______ 3 _______ 122
Male ___ 52 _____ 10 ______ 16 _______ 88
Total ___ 132 ____ 49 ______ 19 _______ 200
Oweight = Overweight
Uweight = Underweight
Recall :
Probability = required outcome / Total possible outcomes
Probability that a selected professor is female and feels 'About right' :
Required outcome = number of female professors who feels 'About right' = 80
Total number of professors = 200
Hence,
P(Female and 'About right') = 80/200 = 0.40
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