Suppose that the number of eggs that an insect lays is a Poisson random variable with parameter

Question:

Suppose that the number of eggs that an insect lays is a Poisson random variable with parameter λ. Further, the probability that an egg hatches and develops is p. Egg hatchings are independent of each other. Show that the total number of eggs that develop has a Poisson distribution with parameter λp. Condition on the number of eggs that are laid.

Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...

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