b) The following table shows the results of a sample survey carried out by a fast-food restaurant to determine whether persons had noticed an improvement in its service in the last month Voting Results Sex Improvement seen No improvements No Opinion Male 25 21 34 Female 16 38 16 i. How many people were in the survey? ii. A patron was selected at random from the sample. a) Determine the probability that the patron thought that there was an improvement in service. b) Determine the probability that the patron was a female or thought that there was no improvement in the service. c) Given that the patron thought there was an improvement, what is the probability that the patron was a male?
b) The following table shows the results of a sample survey carried out by a fast-food restaurant to determine whether persons had noticed an improvement in its service in the last month Voting Results Sex Improvement seen No improvements No Opinion Male 25 21 34 Female 16 38 16 i. How many people were in the survey? ii. A patron was selected at random from the sample. a) Determine the probability that the patron thought that there was an improvement in service. b) Determine the probability that the patron was a female or thought that there was no improvement in the service. c) Given that the patron thought there was an improvement, what is the probability that the patron was a male?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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Question
Two events, M and N, are such that P(M) = 0.6, P(M ∩N) = 0.2, P(M ∪N) = 0.85
b) The following table shows the results of a sample survey carried out by a fast-food restaurant to determine whether persons had noticed an improvement in its service in the last month
Voting Results | |||
Sex | Improvement seen | No improvements | No Opinion |
Male | 25 | 21 | 34 |
Female | 16 | 38 | 16 |
i. How many people were in the survey?
ii. A patron was selected at random from the sample.
a) Determine the probability that the patron thought that there was an improvement in service.
b) Determine the probability that the patron was a female or thought that there was no improvement in the service.
c) Given that the patron thought there was an improvement, what is the probability that the patron was a male?
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