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Knees Patients receiving artificial knees often experience pain after surgery. The pain

Chapter 6, Problem R6.1

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QUESTION:

Knees Patients receiving artificial knees often experience pain after surgery. The pain is measured on a subjective scale with possible values of 1 (low) to 5 (high). Let X be the pain score for a randomly selected patient. The following table gives part of the probability distribution for X. Value: 1 2 3 4 5 Probability: 0.1 0.2 0.3 0.3 ?? (a) Find P(X = 5). (b) Is pain score a discrete or continuous random variable? Explain. (c) Find P(X 2). Is this the same as P(X < 2)? Explain. (d) Compute the expected pain score and the standard deviation of the pain scores.

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QUESTION:

Knees Patients receiving artificial knees often experience pain after surgery. The pain is measured on a subjective scale with possible values of 1 (low) to 5 (high). Let X be the pain score for a randomly selected patient. The following table gives part of the probability distribution for X. Value: 1 2 3 4 5 Probability: 0.1 0.2 0.3 0.3 ?? (a) Find P(X = 5). (b) Is pain score a discrete or continuous random variable? Explain. (c) Find P(X 2). Is this the same as P(X < 2)? Explain. (d) Compute the expected pain score and the standard deviation of the pain scores.

ANSWER:

Step 1 of 6

Given,

The pain score for a randomly selected patient = X.

Range of X = 1 to 5.

Using the probability distribution table we can determine the following:

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