Physicians answer 60% of the calls from the patient immediately. Of the 40% calls that are not answered immediately, 75% or the caller receives a follow-up call the same day, and 25% receive a follow up call the next day. Of those patients whose calls are answered immediately, 80% have schedule-related issues. Of those patients who were followed up the same day, 60% have schedule-related issues. Of those patients who were followed up the next day, 40% have schedule-related issues. Given that a patient has schedule-related issues, what is the probability that the the call is answered immediately?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
Topic Video
Question

Physicians answer 60% of the calls from the patient immediately. Of the 40% calls that are not answered immediately, 75% or the caller receives a follow-up call the same day, and 25% receive a follow up call the next day.
Of those patients whose calls are answered immediately, 80% have schedule-related issues. Of those patients who were followed up the same day, 60% have schedule-related issues. Of those patients who were followed up the next day, 40% have schedule-related issues. Given that a patient has schedule-related issues, what is the probability that the
the call is answered immediately?

Expert Solution
Step 1

Introduction:

Bayes’ theorem:

Consider events A1, A2, …, Ak, and B (non-null). Now, the probability of occurrence of the event Ai (i = 1, 2, …, k) given that the event B has already occurred, is defined as follows:

Probability homework question answer, step 1, image 1

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Proportions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON