wo 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
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
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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