Automobile warranty claims for engine mount failure in a Troppo Malo 2000 SE are

Question

Automobile warranty claims for engine mount failure in a Troppo Malo 2000 SE are rare at a certain dealership, occurring at a mean rate of 0.10 claim per month.

What is the probability that the dealership will wait at least 9 months until the next claim? (Round your answer to 4 decimal places.)

What is the probability that the dealership will wait at least a year? (Round your answer to 4 decimal places.)

What is the probability that the dealership will wait at least 2 years? (Round your answer to 4 decimal places.)

What is the probability that the dealership will wait at least 9 months but not more than 1 year? (Round your answer to 4 decimal places.)

Automobile warranty claims for engine mount failure in a Troppo Malo 2000 SE are rare at a certain dealership, occurring at a mean rate of 0.10 claim per month.

Explanation / Answer

a)probability that the dealership will wait at least 9 months until the next claim =P( no claim in 9 months)=(0.9)9=0.3874

b)

probability that the dealership will wait at least a year =(0.9)12 =0.2824

c)

probability that the dealership will wait at least 2 years =(0.9)24 =0.0798

d)probability that the dealership will wait at least 9 months but not more than 1 year =P(X<=12|X>9)

=P(9<X<=12)/P(X>9)=1-(0.9)3 =0.271

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