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OpenIntro Statistics | 3rd Edition | ISBN: 9781943450039 | Authors: David M Diez; Christopher D Barr; Mine Çetinkaya-Rundel
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Burger preferences. A 2010 SurveyUSA poll asked 500 Los

Chapter , Problem 2.19

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QUESTION:

Burger preferences. A 2010 SurveyUSA poll asked 500 Los Angeles residents, What is the best hamburger place in Southern California? Five Guys Burgers? In-N-Out Burger? Fat Burger? Tommys Hamburgers? Umami Burger? Or somewhere else? The distribution of responses by gender is shown below.64 Gender Male Female Total Five Guys Burgers 5 6 11 In-N-Out Burger 162 181 343 Best Fat Burger 10 12 22 hamburger Tommy's Hamburgers 27 27 54 place Umami Burger 5 1 6 Other 26 20 46 Not Sure 13 5 18 Total 248 252 500

(a) Are being female and liking Five Guys Burgers mutually exclusive?

(b) What is the probability that a randomly chosen male likes In-N-Out the best?

(c) What is the probability that a randomly chosen female likes In-N-Out the best?

(d) What is the probability that a man and a woman who are dating both like In-N-Out the best? Note any assumption you make and evaluate whether you think that assumption is reasonable.

(e) What is the probability that a randomly chosen person likes Umami best or that person is female?

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QUESTION:

Burger preferences. A 2010 SurveyUSA poll asked 500 Los Angeles residents, What is the best hamburger place in Southern California? Five Guys Burgers? In-N-Out Burger? Fat Burger? Tommys Hamburgers? Umami Burger? Or somewhere else? The distribution of responses by gender is shown below.64 Gender Male Female Total Five Guys Burgers 5 6 11 In-N-Out Burger 162 181 343 Best Fat Burger 10 12 22 hamburger Tommy's Hamburgers 27 27 54 place Umami Burger 5 1 6 Other 26 20 46 Not Sure 13 5 18 Total 248 252 500

(a) Are being female and liking Five Guys Burgers mutually exclusive?

(b) What is the probability that a randomly chosen male likes In-N-Out the best?

(c) What is the probability that a randomly chosen female likes In-N-Out the best?

(d) What is the probability that a man and a woman who are dating both like In-N-Out the best? Note any assumption you make and evaluate whether you think that assumption is reasonable.

(e) What is the probability that a randomly chosen person likes Umami best or that person is female?

ANSWER:

Step 1 of 6

(a)

No. From the table we can see that 6 female residents like Five Guys Burgers. So, they are not mutually exclusive.

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