Let the random variable X be the number of days that a certain patient needs to be in

Chapter 2, Problem 2.2-3

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QUESTION:

Let the random variable X be the number of days that a certain patient needs to be in the hospital. Suppose X has the pmf

               \(f(x)=\frac{5-x}{10}\),     x = 1, 2, 3, 4.

If the patient is to receive $200 from an insurance company for each of the first two days in the hospital and $100 for each day after the first two days, what is the expected payment for the hospitalization?

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QUESTION:

Let the random variable X be the number of days that a certain patient needs to be in the hospital. Suppose X has the pmf

               \(f(x)=\frac{5-x}{10}\),     x = 1, 2, 3, 4.

If the patient is to receive $200 from an insurance company for each of the first two days in the hospital and $100 for each day after the first two days, what is the expected payment for the hospitalization?

ANSWER:

Step 1 of 2

The given pmf is

The person receives 200 dollars each in first two days, and then 100 dollars for the next two.

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