) Two events, M and N, are such that P(M) = 0.6, P(M ∩N) = 0.2, P(M ∪N) = 0.85 Find (i) P(N |M) State, with reason, whether M and N are (ii) mutually exclusive (iii) independent. 2) 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 Improvement 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?
1) Two
Find
(i) P(N |M)
State, with reason, whether M and N are
(ii) mutually exclusive
(iii) independent.
2) 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 Improvement | 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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