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ECMATH3 28.4.009. MY NO A cab was involved in a hit-and-run accident at night. Two cab...

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ECMATH3 28.4.009. MY NO A cab was involved in a hit-and-run accident at night. Two cab companies, Blue Cab and Green Cab, tog
ECMATH3 28.4.009. MY NO A cab was involved in a hit-and-run accident at night. Two cab companies, Blue Cab and Green Cab, together own 1,000 of the cabis in the city of these cabs, 7 e Green and 2 are Blue A witness said that the cab in the accident was a Blue Cab. The witness was tested in similar conditions and made a correct identification 70% of the time. What is the probability that the cabin the accident was a Blue Cab, given the witness's statement? (Round your answer to two decimal places) X link

Answers

Probability of a blue cab = 750/1000 = 0.75

Probability of a green cab = 250/1000 = 0.25

Probability that the witness correctly identifies the car = 0.70.

Probability that the cab was a blue cab given the statement of the witness =

= Probability of being a blue cab * Probability that the witness identifies the cab correctly

= 0.75 * 0.70

= 0.525.

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