10. A study of 100 different 2017 car models determined that 42 models consumed

Question

10. A study of 100 different 2017 car models determined that 42 models consumed more gasoline than advertised and that 31 models had higher emissions than advertised. The study also determined that 13 car models both consumed more gasoline and had higher emissions than advertised. What is the probability that a car in the study consumes more gasoline than advertised or had higher emissions than advertised? a) 73% b) 60% c) 47% d) 55% 11. The standard deviation of a random variable describing the time to complete a mortgage decreased from 5.2 days to 3.1 days after the initial implementation of a new information system. However, the expected time to complete the process did not change. What do you recommend? a) Not sure, there is too much information b) Not sure, there is not enough information c) Reverse the course, go back to the old system d Continue with the implementation

Explanation / Answer

Solution:-

10) b) P(Gasoline or Higher emission) = 60%

P(More gasoline) = 0.42

P(Higher emission) = 0.31

P(Both ) = 0.13

P(Gasoline or Higher emission) = P(More gasoline) + P(Higher emission) - P(Both )

P(Gasoline or Higher emission) = 0.42 + 0.31 - 0.13

P(Gasoline or Higher emission) = 0.60

P(Gasoline or Higher emission) = 60%

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