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? Tommy’s Hamburgers? Umami Burger? Or somewhere else?” The distribution of responses by gender is shown below.41
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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