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Suppose that the number of eggs that a hen lays follows the Poisson distribution with parameter...
Suppose that the number of eggs that a hen lays follows the Poisson distribution with parameter λ = 2. Assume further that each of the eggs hatches with probability p = 0.8, and different eggs hatch independently. Let X denote the total number of survivors.
(i) What is the distribution of X?
(ii) What is the probability that there is an even number of survivors?
(iii) Compute the probability mass function of the random variable sin(πX/2) and its expectation.
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Suppose that the number of eggs that a hen lays follows the Poisson distribution with parameter...
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