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.

Between 1 minute and 3 minutes

Answer

Step 1 of 1 :

Continuous Uniform Distribution. The continuous uniform distribution is the probability distribution of random number selection from the continuous interval between a and b.

Given

Between 1 minute and 3 minutes

Here a=1and b=2

The probability is the area underneath the straight line P(x) = 0.2 on given interval:

Therefore p(x)=0.2

Area = (base) (height) p(x)

Area = (b-a) (p(x))

Here we know that 1 minute and 3 minutes.

= (3-1)(0.2)

= 2 (0.2)

= 0.4

(The area of rectangle is the product of length and the width.)