The mileage (in 1000s of miles) that car owners get with a certain kind of radia

Question

The mileage (in 1000s of miles) that car owners get with a certain kind of radial tire is a random variable having an exponential distribution with a mean of 60. In addition to providing the answer, state the relevant Excel commands. (Use Excel)

What is the probability that a tire will last at most 59,000 miles? (Round your answer to 4 decimal places.)

What is the probability that a tire will last at least 62,000 miles? (Round all intermediate calculations andyour final answer to 4 decimal places.)

What is the probability that a tire will last between 62,000 and 76,000 miles? (Round all intermediate calculations and your final answer to 4 decimal places.)

The mileage (in 1000s of miles) that car owners get with a certain kind of radial tire is a random variable having an exponential distribution with a mean of 60. In addition to providing the answer, state the relevant Excel commands. (Use Excel)

Explanation / Answer

Here mean = lembda=60,000

a. Here we need to compute P(x<=59,000)=1-e-59000/60000=0.6259

b. Here we need to comoute P(x>=62,000)=e-62000/60000=0.3558

c. Now we need to compute P(62,000<x<76,000)=P(x<=76000)-P(x<=62000)=e-62000/60000-e-76000/60000=0.7182-0.6442=0.074

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