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4. Blue Cab operates 12% of the taxis in a certain city, and Green Cab operates the other 88%. After a night-time hit-and-run accident involving

4. Blue Cab operates 12% of the taxis in a certain city, and Green Cab operates the other 88%. After a night-time hit-and-run accident involving a taxi, an eyewitness said the vehicle was blue. Suppose, though, that under night vision conditions, only 85% of individuals can correctly distinguish between a blue and a green vehicle.

What is the probability that the taxi at fault was blue given an eyewitness said it was?

-Round your answer to 3 decimal places

-Write the answer as reduced fraction

5. About 30% of human twins are identical, and the rest are fraternal. Identical twins are necessarily the same sexhalf are males and the other half are females. One-quarter of fraternal twins are both male, one-quarter both female, and one-half are mixes: one male, one female.

You have just become a parent of twins and are told they are both girls. Given this information, what is the probability that they are identical?

-Round your answer to 2 decimal places

-Write the answer as reduced fraction

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