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max2010maxim [7]
3 years ago
6

Let f(x) be the probability density function for the lifetime of a manufacturer's highest quality car tire, where x is measured

in miles. Explain the meaning of each integral. (a) 50,000 f(x) dx 20,000
Mathematics
1 answer:
Romashka-Z-Leto [24]3 years ago
5 0

Answer:

P(20000<x<50000)

Step-by-step explanation:

Given that f(x) is a probability density function for the lifetime of a manufacturer's highest quality car tire, where x is measured in miles.

We have to explain the meaning of integral

20000 to 50000 f(x) dx

= \int\limits^{50000}_{20000} }f(x) dx \\=F(50000)-F(20000)

where F is the cumulative function.

Hence the integral is the probability that x lies between 20000 and 50000

Hence the integral is nothing but

P(20000

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