Maurice Tutor

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  • MCS,PHD
    Argosy University/ Phoniex University/
    Nov-2005 - Oct-2011

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    Phoniex University
    Oct-2001 - Nov-2016

Category > Management Posted 16 Oct 2017 My Price 8.00

Poisson random variable

Let X be a Poisson random variable with parameter λ.

(a) Show that

by using the result of Theoretical Exercise 15 and the relationship between Poisson and binomial random variables.

(b) Verify the formula in part (a) directly by making use of the expansion of e−λ + eλ.

Exercise 15

Suppose that n independent tosses of a coin having probability p of coming up heads are made. Show that the probability that an even number of heads results is 1 2 [1 + (q − p)n], where q = 1 − p. Do this by proving and then utilizing the identity

where [n/2] is the largest integer less than or equal to n/2. Compare this exercise with Theoretical Exercise 3.5 of Chapter 3.

Exercise 3.5

An event F is said to carry negative information about an event E, and we write F ↘ E, if

Prove or give counterexamples to the following assertions:

 

Answers

Maurice Tutor
(5)
Status NEW Posted 16 Oct 2017 12:10 PM My Price 8.00

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