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A survey was conducted to determine the preferred way for people to order fast f

ID: 3220037 • Letter: A

Question

A survey was conducted to determine the preferred way for people to order fast food. 100 males and 100 females completed the survey and the results are summarized in the following table.

DINING PREFERENCE

GENDER

Dine Inside

Order inside to go

Order drive through

Total

Male

21

18

56

Female

15

11

79

Total

A person is randomly selected from this group. Answer the questions that follow. Give your answer in fraction form (on the first blank line) and in decimal form (on the second blank line). (Find the totals first)

a.       What is the probability that the person is a male?

                 _________________          __________________

b.      What is the probability that the person prefers ordering at the drive through?

                _________________           __________________

c.       What is the probability that the person is a female AND prefers ordering inside to go?

                 _________________           __________________

d.      What is the probability that the person is a female OR prefers dining in?

                _________________           __________________

e.       What is the probability that the person prefers ordering at the drive through given that the person is a male?

                 _________________           __________________

f.        What is the probability that the person is a male given that the person prefers ordering at the drive through?

                 _________________           __________________

DINING PREFERENCE

GENDER

Dine Inside

Order inside to go

Order drive through

Total

Male

21

18

56

Female

15

11

79

Total

Explanation / Answer

from above:

a) probability that the person is a male =95/200=0.475

b)probability that the person prefers ordering at the drive through=135/200=0.675

c)probability that the person is a female AND prefers ordering inside to go=11/200=0.055

d)probability that the person is a female OR prefers dining in =(105+21)/200 =0.63

e)probability that the person prefers ordering at the drive through given that the person is a male=56/95=0.5895

f)probability that the person is a male given that the person prefers ordering at the drive through=56/135 =0.4148

GENDER Dine Inside Order inside to go Order drive through Total Male 21 18 56 95 Female 15 11 79 105 total 36 29 135 200
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