Concept explainers
a.
To find: the probability that the all four units are good.
a.
Answer to Problem 47E
Explanation of Solution
Given:
Total number of ovens = 12
Total number of defective oven = 3
Total number of ovens that are good =
Total number of ovens purchased = 4
Let E be the event that all four units are good.
The possible number of ways to choose 4 out of the 9 good ovens is:
Total possible number of ways to choose 4 out of 12 ovens is:
Thus, the probability that all four units are good is:
b.
To find: the probability that exactly two units are good.
b.
Answer to Problem 47E
Explanation of Solution
Given:
Total number of ovens = 12
Total number of defective oven = 3
Total number of ovens that are good =
Total number of ovens purchased = 4
Let E be the event that exactly two units are good.
That is, 2 ovens are good and 2 are defective. So,
Total possible number of ways to choose 4 out of 12 ovens is:
Thus, the probability that exactly two units are good is:
c.
To find: the probability that at least two units are good.
c.
Answer to Problem 47E
Explanation of Solution
Given:
Total number of ovens = 12
Total number of defective oven = 3
Total number of ovens that are good =
Total number of ovens purchased = 4
Let E be the event that at least two units are good.
(It is the sum of the cases exactly 2 units are good, exactly 3 units are good and all 4 units are good)
Total possible number of ways to choose 4 out of 12 ovens is:
Thus, the probability that at least two units are good is:
Chapter 9 Solutions
EBK PRECALCULUS W/LIMITS
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