Suppose that the number of defects on a roll of magnetic

Chapter 7, Problem 3

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QUESTION:

Suppose that the number of defects on a roll of magnetic recording tape has a Poisson distribution for which Suppose that the number of defects on a roll of magnetic recording tape has a Poisson distribution for which follows: (1.0) = 0.4 and (1.5) = 0.6. If a roll of tape selected at random is found to have three defects, what is the posterior p.f. of ?

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QUESTION:

Suppose that the number of defects on a roll of magnetic recording tape has a Poisson distribution for which Suppose that the number of defects on a roll of magnetic recording tape has a Poisson distribution for which follows: (1.0) = 0.4 and (1.5) = 0.6. If a roll of tape selected at random is found to have three defects, what is the posterior p.f. of ?

ANSWER:

Step 1 of 4

Let the number of defects on a roll of magnetic recording tape has a Poisson distribution with mean , where  is either  or . The prior p.d.f. of  is

- Let random variable  represents the number of defects on a roll of magnetic recording tape.

- A randomly selected roll of tape has 3 defects.

 We need to find the posterior p.d.f of .

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