Suppose that the number of eggs produced by a particular species of fly in a given discrete random variable Y with pmf y € {1,2,3, ...} p(y) = otherwise for parameter p, 0 4) if p = 0.2. (c) For this distribution, which is bigger, E[Y] or E[Y²] ? Justify your answer.

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Chapter1: Combinatorial Analysis
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Suppose that the number of eggs produced by a particular species of fly in a given
discrete random variable Y with pmf
y e {1,2,3, ...}
p(y)
otherwise
for parameter p, 0 < p < 1, and some constant c.
(a) By finding an appropriate value of constant e, show that this is a valid pmf.
(b) Find the probability P(Y > 4) if p = 0.2.
(c) For this distribution, which is bigger, E[Y] or E[Y²] ? Justify your answer.
Transcribed Image Text:Suppose that the number of eggs produced by a particular species of fly in a given discrete random variable Y with pmf y e {1,2,3, ...} p(y) otherwise for parameter p, 0 < p < 1, and some constant c. (a) By finding an appropriate value of constant e, show that this is a valid pmf. (b) Find the probability P(Y > 4) if p = 0.2. (c) For this distribution, which is bigger, E[Y] or E[Y²] ? Justify your answer.
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