Suppose that a patient is selected randomly from those

Chapter 2, Problem 118E

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QUESTION:

Suppose that a patient is selected randomly from those described in Exercise 2-57. Let A denote the event that the patient is treated with ribavirin plus interferon alfa, and let 𝐵 denote the event that the response is complete. Determine the following probabilities:

(a) P(B|A)

(b) P(A|B)

(c) \(P(A | B^\prime)\)

(d) \(P(A^\prime | B)\)

Questions & Answers

QUESTION:

Suppose that a patient is selected randomly from those described in Exercise 2-57. Let A denote the event that the patient is treated with ribavirin plus interferon alfa, and let 𝐵 denote the event that the response is complete. Determine the following probabilities:

(a) P(B|A)

(b) P(A|B)

(c) \(P(A | B^\prime)\)

(d) \(P(A^\prime | B)\)

ANSWER:

Solution:

Step 1 of 5:

The total patients in each group and the number that showed a complete response after 24 weeks of treatment.

Complete response

Total

Ribavirin plus interferon alfa

16

21

Interferon alfa

6

19

Untreated controls

0

20

Total

22

60

A = patient treated with Ribavirin plus interferon alfa

B = complete response


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