Concept explainers
a)
To make a two-way table that displays the sample space in terms of
a)
Explanation of Solution
Given:
The events: getting jack and getting red card.
The two-way table is,
J | Not J | Total | |
R | 2 | 24 | 26 |
Not R | 2 | 24 | 26 |
Total | 4 | 48 | 52 |
b)
To find P(J) and P(R)
b)
Answer to Problem 52E
P(J) = 0.077 and P(R)= 0.5
Explanation of Solution
Given:
J | Not J | Total | |
R | 2 | 24 | 26 |
Not R | 2 | 24 | 26 |
Total | 4 | 48 | 52 |
Formula:
P(jack) = P(J)
P(Red)=P(R)
c)
To find P(J and R)
c)
Answer to Problem 52E
P(J and R) =
Explanation of Solution
Given:
J | Not J | Total | |
R | 2 | 24 | 26 |
Not R | 2 | 24 | 26 |
Total | 4 | 48 | 52 |
Formula:
P(J and R)
d)
To find P(J or R)
d)
Answer to Problem 52E
P(J or R) =
Explanation of Solution
Given:
P(J and R) =
P(J) = 0.077 and P(R)= 0.5
Formula:
As J and R are not mutually exclusive,
That is J and R occurs together.
Therefore,
Chapter 5 Solutions
The Practice of Statistics for AP - 4th Edition
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