Question

In a survey of 200 professors at Gotham University, professors were asked, “Regarding your weight, do you think you are: About right? Overweight? Underweight?” The following contingency table displays the results of the survey. Perception of Weight Gender About Right Overweight Underweight Total Female 80 39 3 122 Male 52 10 16 88 Total 132 49 19 200 One professor will be selected at random from the 200 professors involved in the survey. What is the probability that this professor is female and feels "About Right"? Question 5 options: 1.27 0.61 0.92 0.40 0.66

Answer 1

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

Learn more : brainly.com/question/11234923