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Rina8888 [55]
3 years ago
11

A company advertises two car tire models. The number of thousands of miles that the standard model tires last has a mean μ S​ =6

0 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?
Mathematics
1 answer:
Lera25 [3.4K]3 years ago
5 0

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

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Its is true that C ⊆ D means Every element of C is present in D

According to he question,

Let C = {n ∈ Z | n = 6r – 5 for some integer r}

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We have to prove : C ⊆ D

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Then there exists an integer r such that:

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Since -5 = -6 + 1

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Using distributive property,

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Since , 2 and r are the integers , their product 2r is also an integer and the difference 2r - 2 is also an integer then

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Since , every element of C is also an element of D

Hence ,  C ⊆ D proved !

Similarly, you have to prove D ⊆ C

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