Question

The diameter of ball bearings produced in a manufacturing process can be explained using a uniform distribution over the interval 3.5 to 5.5 millimeters. What is the probability that a randomly selected ball bearing has a diameter greater than 4.4 millimeters

Answer 1

The probability that a randomly selected ball bearing has a diameter greater than 4.4 millimeters is P=0.55.

Explanation:

A uniform distribution have a constant probability for each value within the interval, in this case 3.5 to 5.5 mm., and 0 for any value outside this interval.

We can calculate the probability that we have a diameter of X=4.4 or greater as:

`P(X>4.4)=(Max-X)/(Max-Min)=(5.5-4.4)/(5.5-3.5)=(1.1)/(2)=0.55`

The probability that a randomly selected ball bearing has a diameter greater than 4.4 millimeters is P=0.55.