Let X equal the number of alpha particles emitted by

Chapter 5, Problem 7E

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QUESTION:

Problem 7E

Let X equal the number of alpha particles emitted by barium-133 per second and counted by a Geiger counter. Assume that X has a Poisson distribution with λ = 49. Approximate P(45 < X < 60).

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QUESTION:

Problem 7E

Let X equal the number of alpha particles emitted by barium-133 per second and counted by a Geiger counter. Assume that X has a Poisson distribution with λ = 49. Approximate P(45 < X < 60).

ANSWER:

Step 1 of 2

 has a poisson distribution with  in order to approximate it ,the poisson distribution can be thought of as the sum  of the observations of a random sample of size  from a poisson distribution with  .Then

 and

And

 is distributed  in the limit as .

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