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What is the probability that a student has to take a Statistics Course at this particular college

What is the probability that a student has to take a Statistics Course at this particular college

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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At a particular college 10 percent of the students major in Business. All Business majors are required to take a Statistics Course. Of the students not majoring in Business, 45 percent of them still have to take a Statistics Course. What is the probability that a student has to take a Statistics Course at this particular college? Type your anser as a decimal to 4 decimal places.

 

Expert Solution
Step 1

Let us define some events

A : a student major in Business.

B : a student not majoring in Business.

E : a students has to take a Statistics Course.

Given that

P(A) = 0.10, P(B) = 1 - 0.10 = 0.90

P(E|A) = 1, P(E|B) = 0.45

 

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