Let A be the event that a flight from New York to San Francisco arrives on time and let B be the event that it is a clear day in San Francisco. Suppose the probability of a clear day is P(B) = 0.6 . We also know that the probability a plane arrives on time on a sunny day is P(A | B) = 0.9 and on a cloudy day it is P(A | BC) = 0.5. The probability it is a clear day, given that the plane was on time, is: %3D O a. 0.54. O b. 0.6. O c. 0.73. O d. 0.2.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.2: Probability
Problem 39E: Spinner A and B shown in the figure are spun at the same time. (a) Are the events "spinner A stops...
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Let A be the event that a flight from New York to San Francisco arrives on time and let B be the
event that it is a clear day in San Francisco. Suppose the probability of a clear day is P(B) = 0.6. We
also know that the probability a plane arrives on time on a sunny day is P(A | B) = 0.9 and on a
cloudy day it is P(A | BC) = 0.5. The probability it is a clear day, given that the plane was on time, is:
a. 0.54.
b. 0.6.
C. 0.73.
d. 0.2.
Transcribed Image Text:Let A be the event that a flight from New York to San Francisco arrives on time and let B be the event that it is a clear day in San Francisco. Suppose the probability of a clear day is P(B) = 0.6. We also know that the probability a plane arrives on time on a sunny day is P(A | B) = 0.9 and on a cloudy day it is P(A | BC) = 0.5. The probability it is a clear day, given that the plane was on time, is: a. 0.54. b. 0.6. C. 0.73. d. 0.2.
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