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
= [tex]\int\limits^{50000}_{20000} }f(x) dx \\=F(50000)-F(20000)[/tex]
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
[tex]P(20000<x<50000)[/tex]
