Statistics Question

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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Step 1

Given Information:

 

Coffee

Tea

Juice

Total

Under 21 years of age

7

9

6

22

Between 21 and 50

13

16

12

41

Over the age of 50

20

5

10

35

Total

40

30

28

98

 

If one of the 98 is chosen at random. Probability that the person drinks juice given that they are under 21 years of age:

Conditional probability is given by the formula:

P(A | B) = P(A and B)P(B)

Probability of an event is given by the formula:

P(E)=favorable outcomesTotal number of outcomes

P(Juice | Under 21 years of age) =P(Juice and Under 21 years of age)P(Under 21 years of age)=6982298=0.06120.2245=0.2726

 

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