- A fisherman is known to catch fish at a mean rate of 4 per hour. The number of fish caught by the fisherman in an hour follows a Poisson distribution.
The fisherman takes 5 fishing trips each lasting 1 hour.
- Find the probability that this fisherman catches at least 6 fish on exactly 3 of these trips.
The fisherman buys some new equipment and wants to test whether or not there is a change in the mean number of fish caught per hour.
Given that the fisherman caught 14 fish in a 2 hour period using the new equipment,
- carry out the test at the \(5 \%\) level of significance. State your hypotheses clearly.
(6) by the fisherman in an hour follows a Poisson distribution.
The fisherman takes 5 fishing trips each lasting 1 hour. - Find the probability that this fisherman catches at least 6 fish on exactly 3 of these trips.
7.
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