Question

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)

Answer 1