Question
In: Statistics and Probability
A daily commuter crosses two traffic signals on his way to work. The probability that he...
A daily commuter crosses two traffic signals on his way to work. The probability that he will be stopped at the first signal is 0.47, at the second signal is 0.30, and the probability that he may not have to stop at any of the two signals is 0.3. Answer all the questions to 2 decimal places where appropriate.
1. What is the probability that the commuter will be stopped at both signals?
2. What is the probability that he will be stopped at the second, but not at the first signal?
3. What is the probability that he will be stopped at exactly one signal given that he was not stopped at the first signal?
4. "Stopping at signal 1 is independent of stopping at
signal 2." This statement is:
a.Incorrect True because P(stopping at both signals) = P(stopping
at signal 1)×P(stopping at signal )
b.ncorrect False because P(stopping at both signals) ≠ 0
c.Incorrect True because P(stopping at both signals) ≠ 0
d.Correct: False because P(stopping at both signals) ≠ P(stopping
at signal 1)×P(stopping at signal 2)
Solutions
orchestra answered 2 years agoRelated Solutions
A commuter must pass through five traffic lights on her way to work and will have...
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A commuter must pass through five traffic lights on her way to work and will have...
A commuter must pass through five traffic lights on her way to
work and will have to stop at each one that is red. She estimates
the probability model for the number of red lights she hits
(x), as shown below:
x
0
1
2
3
4
5
p(x)
0.03
0.21
p
0.1
0.1
0.05
Find the probability that she hits at most 3 red lights.
Answer to 2 decimal places.
Tries 0/5
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Second Light
First Light
R
Y
G
R
0.31
0.02
0.18
Y
0.02
0.03
0.03
G
0.14
0.04
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