Answer: Suppose that X has a Poisson distribution with a

Chapter 4, Problem 97E

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QUESTION:

Suppose that X has a Poisson distribution with a mean of 64. Approximate the following probabilities:

(a) \(P(X>72)\)                 (b) \(P(X<64)\)                 (c) \(P(60<X \leq 68)\)

Equation transcription:

Text transcription:

P(X>72)

P(X<64)

P(60<X \leq 68)

Questions & Answers

QUESTION:

Suppose that X has a Poisson distribution with a mean of 64. Approximate the following probabilities:

(a) \(P(X>72)\)                 (b) \(P(X<64)\)                 (c) \(P(60<X \leq 68)\)

Equation transcription:

Text transcription:

P(X>72)

P(X<64)

P(60<X \leq 68)

ANSWER:

Solution:

Step 1 of 3:

Let X has a poisson distribution with a mean of 64.

We have to find the following probabilities.

  1. P(X>72)
  2. P(X<64)
  3. P(60<X68)


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