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Nikitich [7]
2 years ago
7

The top-selling Red and Voss tire is rated 50,000 miles, which means nothing. In fact, the distance the tires can run until they

wear out is a normally distributed random variable with a mean of 67,000 miles and a standard deviation of 5,200 miles. What is the probability that a tire wears out before 60,000 miles?
Mathematics
1 answer:
Anvisha [2.4K]2 years ago
8 0

Answer: 0.9726

Step-by-step explanation:

Let x be the random variable that represents the distance the tires can run until they wear out.

Given : The top-selling Red and Voss tire is rated 50,000 miles, which means nothing. In fact, the distance the tires can run until they wear out is a normally distributed random variable with a \mu=67,000 miles and a \sigma= 5,200 miles.

Then , the probability that a tire wears out before 60,000 miles :

P(x  [using p-value table for z]

Hence, the probability that a tire wears out before 60,000 miles= 0.9726

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