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)?
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)?
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.2: Probability
Problem 3E: The conditional probability of E given that F occurs is P(EF)=___________. So in rolling a die the...
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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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