1.0 There are two traffic lights on the route used by a certain individual to go from home to work. Let E denote the event that the individual must stop at the first light, second light. Supposed the P(E) = .4, P(F) = .3 and P(E∩F) = .15. a. What is the probability that the individual must stop at at least one light; that is, what is the probability of the event E U F? b. What is the probability that the individual needn’t stop at either light? c. What is the probability that the individual must stop at exactly pone of the two lights? d. What is the probability that the individual must stop event related to P(E) and P(E∩F)?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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1.0 There are two traffic lights on the route used by a certain individual to go from home to work. Let E denote the event that the individual must stop at the first light, second light. Supposed the P(E) = .4, P(F) = .3 and P(E∩F) = .15.

a. What is the probability that the individual must stop at at least one light; that is, what is the probability of the event E U F?

b. What is the probability that the individual needn’t stop at either light?

c. What is the probability that the individual must stop at exactly pone of the two lights?

d. What is the probability that the individual must stop event related to P(E) and P(E∩F)? (A Venn diagram might help.)

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