The route used by a certain motorist in commuting work contains two intersections with traffic signals. T probability that he must stop at the first signal is .4, t analogous probability for the second signal is .5, and t probability that he must stop at at least one of the tw
The route used by a certain motorist in commuting work contains two intersections with traffic signals. T probability that he must stop at the first signal is .4, t analogous probability for the second signal is .5, and t probability that he must stop at at least one of the tw
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Question
How can I answer this question 22 ?
![22. The route used by a certain motorist in commuting to
work contains two intersections with traffic signals. The
probability that he must stop at the first signal is .4, the
analogous probability for the second signal is .5, and the
probability that he must stop at at least one of the two
signals is .7. What is the probability that he must stop
a. At both signals?
b.
At the first signal but not at the second one?
At exactly one signal?
C.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc0618968-6b5a-406b-a92d-661b061825b7%2Fcdc2d035-6e53-4469-a704-254eed1d6190%2F9qs15kr_processed.png&w=3840&q=75)
Transcribed Image Text:22. The route used by a certain motorist in commuting to
work contains two intersections with traffic signals. The
probability that he must stop at the first signal is .4, the
analogous probability for the second signal is .5, and the
probability that he must stop at at least one of the two
signals is .7. What is the probability that he must stop
a. At both signals?
b.
At the first signal but not at the second one?
At exactly one signal?
C.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1: Given Information :
Let A be the event that the person stops at first signal.
P(A)=0.4
Let B be the event that the person stops at second signal.
P(B)=0.5
And the probability that he must stop at at least one of the two signals is 0.7
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