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Advanced Placement (AP), 23.04.2020 23:32 Deascry

A company advertises two car tire models. The number of thousands of miles that the standard model tires last has a mean \mu_S = 60μ
S
=60 and standard deviation \sigma_S = 5σ
S
=5. The number of miles that the extended life tires last has a mean \mu_E = 70μ
E
=70 and standard deviation \sigma_E = 7σ
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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