probability that it will forecast fine weather

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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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The prior probabilities that it will be fine or raining at 12.00 noon next Sunday when a parade is due to take place, are respectively 0.7 and 0.3. Two days before the parade, the local weather station will provide an unbiased forecast of either fine or rain. Given that its forecasts have a 90% probability of being correct, the probability that it will forecast fine weather: Select one:

a. cannot be determined based on the information given

b. is equal to 0.70

c. is equal to 0.66

d. is equal to 0.63.

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