Let X equal the number of alpha particle emissions of carbon-14 that are counted by a

Chapter 3, Problem 3.2-12

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QUESTION:

Let X equal the number of alpha particle emissions of carbon-14 that are counted by a Geiger counter each second. Assume that the distribution of X is Poisson with mean 16. Let W equal the time in seconds before the seventh count is made.

(a) Give the distribution of W.

(b) Find \(P(W \le 0.5)\). Hint: Use Equation 3.2-1 with \(\lambda w = 8\).

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QUESTION:

Let X equal the number of alpha particle emissions of carbon-14 that are counted by a Geiger counter each second. Assume that the distribution of X is Poisson with mean 16. Let W equal the time in seconds before the seventh count is made.

(a) Give the distribution of W.

(b) Find \(P(W \le 0.5)\). Hint: Use Equation 3.2-1 with \(\lambda w = 8\).

ANSWER:

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Given that,

Let X equal the number of alpha particle emissions of carbon-14 that is counted by a Geiger counter each second. Assume that the distribution of X is Poisson with a mean 16. Let W equal the time in seconds before the seventh count is made.

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