A company advertises two car tire models. The number of thousands of miles that the standard model tires last has a mean μ S = 60 and standard deviation σ S = 5. The number of miles that the extended life tires last has a mean μ E = 70 and standard deviation σ E = 7. If mileages for both tires follow a normal distribution, what is the probability that a randomly selected standard model tire will get more mileage than a randomly selected extended life tire?

Question

Myla

Mathematics

4 March, 09:33

A company advertises two car tire models. The number of thousands of miles that the standard model tires last has a mean μ S = 60 and standard deviation σ S = 5. The number of miles that the extended life tires last has a mean μ E = 70 and standard deviation σ E = 7. If mileages for both tires follow a normal distribution, what is the probability that a randomly selected standard model tire will get more mileage than a randomly selected extended life tire?

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Sneakers · Answer 1

Answer:.123

Step-by-step explanation: use random variable e-s which will follow a normal distribution with a mean of 70-60=10 and SD = sq root of 25+49. P (e-s<0) =.123