Continuous Uniform Distribution. In Exercises 5–8, refer to the continuous uniform distribution depicted in Figure 62 and described in Example 1. Assume that a subway passenger is randomly selected, and find the probability that the waiting time is within the given range.
Greater than 1.25 minutes
Given that, For New York City weekday late-afternoon subway travel from Times Square to the Mets stadium, you can take the #7 train that leaves Times Square every 5 minutes. Given the subway departure schedule and the arrival of a passenger, the waiting time x is between 0 min and 5 min, as described by the uniform distribution depicted in Figure. Note that in Figure, waiting times can be any value between 0 min and 5 min, so it is possible to have a waiting time of 2.33457 min.
It is given that a voltage level between 123.0 volts and 125.0 volts we randomly selected.
Then the probability that the given voltage level is between 123.2 and 123.7 volts.
The probability is the underneath the straight line (p(x) = 0.2) on the given interval:
( 5 - 1.25) 0.2 = 3.75 0.2 = 0.75.
The area of the rectangle is the product of the length and the width.