Concept explainers
a)
To make a two-way table that displays the sample space in terms of
a)
Explanation of Solution
Given:
The events: Black and even.
The two-way table is,
Black | Not black | Total | |
Even | 10 | 10 | 20 |
Not even | 8 | 10 | 18 |
Total | 18 | 20 | 38 |
b)
To find P(B) and P(E)
b)
Answer to Problem 51E
P(B) = 0.4737 and P(E)= 0.5263
Explanation of Solution
Given:
Black | Not black | Total | |
Even | 10 | 10 | 20 |
Not even | 8 | 10 | 18 |
Total | 18 | 20 | 38 |
Formula:
P(Black) = P(B)
P(Even)=P(E)
c)
To find P(B and E)
c)
Answer to Problem 51E
P(B and E) = 0.2631
Explanation of Solution
Given:
Black | Not black | Total | |
Even | 10 | 10 | 20 |
Not even | 8 | 10 | 18 |
Total | 18 | 20 | 38 |
Formula:
P(B and E)
d)
To find P(B or E)
d)
Answer to Problem 51E
P(B or E) = 0.7368
Explanation of Solution
Given:
Black | Not black | Total | |
Even | 10 | 10 | 20 |
Not even | 8 | 10 | 18 |
Total | 18 | 20 | 38 |
P(B) = 0.4737
P(E) = 0.5263
P(B and E) = 0.2631
Formula:
As B and E are not mutually exclusive,
That is B and E occurs together.
Therefore,
Chapter 5 Solutions
The Practice of Statistics for AP - 4th Edition
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