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1. Let the number of chocolate drops in a certain type of cookie have a Poisson distribution. We want the probability that a cookie of t"his type contains at least two chocolate drops to be greater than 0.99. Find the smallest value that the mean of the distribution can take.

2. Compute the measures of skewness and kurtosis of the Poisson distribution with mean µ.

3. On the avrage a grocer sells 3 of a certain article per week. How many of these should he have in stock so that the chance of his running out within a week will be less than 0.01? Assume a Poisson distribution.

4. Let X have a Poisson distribution. If Pr (X = I ) = Pr (X = 3), find the mode of the distribution.

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Statistics and Probability, Statistics

Category:- Statistics and Probability
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