2.19 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.
(please round any numerical answers to 4 decimal places)
| Male | Female | Total | |
|---|---|---|---|
| Five Guys Burgers | 5 | 6 | 11 |
| In-N-Out Burger | 162 | 181 | 343 |
| Fat Burger | 10 | 12 | 22 |
| Tommy's Hamburgers | 27 | 27 | 54 |
| 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?
Explain your reasoning:
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 woman who are dating like In-N-Out the best?
What assumptions did you need to make? Are those assumptions reasonable?
e) What is the probability that a randomly chosen person likes Umami best or that person is female?