## 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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