15 points A survey on Hungton Post asked people what their f

(15 points) A survey on Hu!ngton Post asked people what their favorite kind of junk food was. Suppose these are the results.

Favorite Junk Food Female Male Total Chocolate 1518 531 Sugary Candy 218 127 Ice Cream 685 586 Fast Food 312 463 Cookies 431 219 Chips 458 649 Cake 387 103 Pizza 792 523 Total 8002 Suppose a person from the respondents is chosen randomly. a. What is the probability that the person is female? b. What is the probability that the person prefers chips? c. What is the probability that the person is female given that they prefer chips?

Solution

a)

probablity that the person is female

=

(1518 + 218 + 685 + 312 + 431 + 458 + 387 + 792 )/8002= 60%

b)

probability prefer chips = (458 + 649) / 8002 = 13.83%

c)

probablity that person is female given they prefer chips

= 458/1107

= 41.37%