Answer: Suppose that a patient is selected randomly from

Chapter 2, Problem 140E

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QUESTION:

Suppose that a patient is selected randomly from those described in Exercise 2-98. Let A denote the event that the patient is in group 1, and let B denote the event for which there is no progression. Determine the following probabilities:

(a) \(P(A \cap B)\)

(b) P(B)

(c) \(P\left(A^{\prime} \cap B\right)\)

(d) \(P(A \cup B)\)

(e) \(P\left(A^{\prime} \cup B\right)\)

Questions & Answers

QUESTION:

Suppose that a patient is selected randomly from those described in Exercise 2-98. Let A denote the event that the patient is in group 1, and let B denote the event for which there is no progression. Determine the following probabilities:

(a) \(P(A \cap B)\)

(b) P(B)

(c) \(P\left(A^{\prime} \cap B\right)\)

(d) \(P(A \cup B)\)

(e) \(P\left(A^{\prime} \cup B\right)\)

ANSWER:

Solution:

Step 1 of 3:

The number of patients without progression of joint damage in each group was 76 of 114 patients (67%), 82 of 112 patients (73%), 104 of 120 patients (87%), and 113 of 121 patients (93%) respectively.

Let A denote the event that the patient is in group 1, and let B denote the event that there is no progression.

We have to find the following probabilities.

  1. P(A)
  2. P(B)
  3. P(
  4. P(A
  5. P(

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