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The mean number of bacteria per millimeter of a liquid is known to be 4. Assuming...

The mean number of bacteria per millimeter of a liquid is known to be 4. Assuming that the number of bacteria follows a Poisson distribution, find the probability that, in 1 ml of liquid, there will be

(a) no bacteria

(b) 4 bacteria

(c) less than 3 bacteria Find the probability that

(i) in 3 ml of liquid there will be less than 2 bacteria

(ii) in 0.5 ml of liquid there will be more than 2 bacteria

Math   Statistics-And-Probability   
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