[Solved] (15 marks) When pond water is examined under the microscope there are nasty bugs to be seen. The average concentration of these bugs is three per
Question: (15 marks) When pond water is examined under the microscope there are nasty bugs to be seen. The average concentration of these bugs is three per milliliter. Determine the probability that a random sample of 5 milliliters of pond water contains exactly 14 bugs,
- using the Poisson distribution,
- using the normal approximation to the Poisson distribution.
Determine also the probability that the number of bugs to be found in a random sample of 200 millilitres of pond water is between 560 and 620 inclusive.
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