31. A survey on eating habits conducted at the local mall produced the following information: Fast Food Favorite Burgers Таcos Pizza Total Under 20 16 31 23 70 20-40 21 44 15 80 Over 40 43 15 12 70 Total 80 90 50 220 What is the probability that a person selected at random from this group: a) prefers burgers? b) is over 40? c) prefers burgers and is over 40? d) prefers burgers given they are over 40? e) is over 40 given they prefer burgers? f) prefers pizza and is 20-40? g) is under 20 and prefers tacos? h) prefers tacos given they are under 20? i) prefers burgers or is under 20? j) does not prefer tacos?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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31. A survey on eating habits conducted at the local mall produced the following information:
Fast Food Favorite
Burgers
Таcos
Pizza
Total
Under 20
16
31
23
70
20-40
21
44
15
80
Over 40
43
15
12
70
Total
80
90
50
220
What is the probability that a person selected at random from this group:
a) prefers burgers?
b) is over 40?
c) prefers burgers and is over 40?
d) prefers burgers given they are over 40?
e) is over 40 given they prefer burgers?
f) prefers pizza and is 20-40?
g) is under 20 and prefers tacos?
h) prefers tacos given they are under 20?
i) prefers burgers or is under 20?
j) does not prefer tacos?
Transcribed Image Text:31. A survey on eating habits conducted at the local mall produced the following information: Fast Food Favorite Burgers Таcos Pizza Total Under 20 16 31 23 70 20-40 21 44 15 80 Over 40 43 15 12 70 Total 80 90 50 220 What is the probability that a person selected at random from this group: a) prefers burgers? b) is over 40? c) prefers burgers and is over 40? d) prefers burgers given they are over 40? e) is over 40 given they prefer burgers? f) prefers pizza and is 20-40? g) is under 20 and prefers tacos? h) prefers tacos given they are under 20? i) prefers burgers or is under 20? j) does not prefer tacos?
32. Refer to problem 31 above: Are the events "prefers burgers" and "is over 40" independent? How do you know?
Transcribed Image Text:32. Refer to problem 31 above: Are the events "prefers burgers" and "is over 40" independent? How do you know?
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