thieves. Assume that the probability of a sports bike being stolen is 0.09 while the probability is only 0.5 for a regular bike. Taking, as an approximation for all bikes in that area, the nationwide proportion 0.19 of sports bikes, find (a) the probability that a bike will be stolen. (b) the probability that a stolen bike is a sports bike.

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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3.62 In a certain city, sports bikes are being targeted by
thieves. Assume that the probability of a sports bike
being stolen is 0.09 while the probability is only 0.5
for a regular bike. Taking, as an approximation for all
bikes in that area, the nationwide proportion 0.19 of
sports bikes, find
(a) the probability that a bike will be stolen.
(b) the probability that a stolen bike is a sports bike.
Transcribed Image Text:3.62 In a certain city, sports bikes are being targeted by thieves. Assume that the probability of a sports bike being stolen is 0.09 while the probability is only 0.5 for a regular bike. Taking, as an approximation for all bikes in that area, the nationwide proportion 0.19 of sports bikes, find (a) the probability that a bike will be stolen. (b) the probability that a stolen bike is a sports bike.
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