SOLUTION: 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 bik

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Question 1174602: 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 the probability that a bike will be stolen.

Select one:
a. 0.52
b. 0.32
c. 0.22
d. 0.42
Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.

Using your numerical data


    P = 0.09*0.19 + 0.5*(1-0.19) = 0.4221 = 0.42  (rounded).    ANSWER

Option d).