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Statistics / Introduction to Probability and Statistics for Engineers and Scientists 5 / Chapter 5 / Problem 12

Introduction to Probability and Statistics for Engineers and Scientists | 5th Edition | ISBN: 9780123948113 | Authors: Sheldon M. Ross

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The number of times that an individual contracts a cold in

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QUESTION:

The number of times that an individual contracts a cold in a given year is a Poisson random variable with parameter = 3. Suppose a new wonder drug (based on large quantities of vitamin C) has just been marketed that reduces the Poisson parameter to = 2 for 75 percent of the population. For the other 25 percent of the population, the drug has no appreciable effect on colds. If an individual tries the drug for a year and has 0 colds in that time, how likely is it that the drug is beneficial for him or her?

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QUESTION:

The number of times that an individual contracts a cold in a given year is a Poisson random variable with parameter = 3. Suppose a new wonder drug (based on large quantities of vitamin C) has just been marketed that reduces the Poisson parameter to = 2 for 75 percent of the population. For the other 25 percent of the population, the drug has no appreciable effect on colds. If an individual tries the drug for a year and has 0 colds in that time, how likely is it that the drug is beneficial for him or her?

ANSWER:

Step 1 of 2

Let be the event that the drug is beneficial and be the event that the drug is not beneficial. Let be the event that the individual has no cold.

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