Concept explainers
a.
To find: the probability that both vehicles are available at a given time.
a.
Answer to Problem 60E
Explanation of Solution
Concept Used:
Let A and B be two independent events, then
Let E be the event that both vehicles are available at a given time.
Here, availability of one vehicle is independent of the availability of the other vehicle.
Also, the probability that a specific vehicle is available when needed is 90%.
Let A denotes the event that 1st rescue vehicle is available.
And let B denotes the event that 2nd rescue vehicle is available.
Then,
So, the probability that both vehicles are available at a given time is:
b.
To find: the probability that neither vehicle is available at a given time.
b.
Answer to Problem 60E
Explanation of Solution
Concept Used:
Let A and B be two independent events, then
Let
Here, availability of one vehicle is independent of the availability of the other vehicle.
Also, the probability that a specific vehicle is available when needed is 90%.
So, the probability that a specific vehicle is not available when needed is
Let
And let
Then,
So, the probability that neither vehicle is available at a given time is:
c.
To find: the probability that at least one vehicle is available at a given time.
c.
Answer to Problem 60E
Explanation of Solution
Concept Used:
Let A and B be two independent events, then
Let F be the event that at least one vehicle is available at a given time.
Event F is complement of the event
So,
From part (b),
So, the probability that at least one vehicle is available at a given time is:
Chapter 9 Solutions
EBK PRECALCULUS W/LIMITS
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