A random variable follows Poisson's Distribution such that P(X=k) = P(X=k+1).Find the mean and variance.
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If a random variable X follows Poisson's Distribution such that P(X=1) = P(X= 2), find the mean and P(X=0).
If X follows Poisson's Distribution with parameter m = 5, find P (X = 5) [e^-5 = 0.0067]
In a certain manufacturing process, 5 % of the tools produced turn out to be defective. Find the probability that in a sample of 40 tools, atmost 2 will be defective. [Given: e^-2 = 0.135]
For a Poisson's Distribution P(X=3)=5 P(X=5). Find the standard deviation.