If 30% of the students take Economics, 40% take Psychology, and 10% take both Economics and Psychology. What percentage of students take Economics or Psychology? Briefly explain your answer. If a student is chosen at random, find the following conditional probabilities of a student taking Economics if we know they took Psychology. Briefly explain your answer. If a student is chosen at random, what is the probability of this student NOT taking Economics? Briefly explain your answer.
If 30% of the students take Economics, 40% take Psychology, and 10% take both Economics and Psychology. What percentage of students take Economics or Psychology? Briefly explain your answer. If a student is chosen at random, find the following conditional probabilities of a student taking Economics if we know they took Psychology. Briefly explain your answer. If a student is chosen at random, what is the probability of this student NOT taking Economics? Briefly explain your answer.
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...
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Question
- If 30% of the students take Economics, 40% take Psychology, and 10% take both Economics and Psychology.
- What percentage of students take Economics or Psychology? Briefly explain your answer.
- If a student is chosen at random, find the following conditional probabilities of a student taking Economics if we know they took Psychology. Briefly explain your answer.
- If a student is chosen at random, what is the probability of this student NOT taking Economics? Briefly explain your answer.
Expert Solution
Step 1
Given :
Percentage of students take economics =30%
P(economics) =0.30
Percentage of students take psychology =40%
P(psychology) =0.40
Percentage of students take economics and psychology both=10%
P(economics and psychology) =0.10
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