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

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

=

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

point a is the center of the circle that passes through points e, f, and g and the center of the circle that passes through points x, y, and z.