Question

The time spent waiting at a traffic light can be considered a random variable with values from 0 seconds, it’s green when you approach and can go on through, to 30 seconds with the following distribution shape: What is the height of this distribution? Express your answer in decimal form using three decimal places. answer to three decimal places:

Answer 1

H = 1/30

H = 0.0333

0.033

Explanation:

The time spent waiting at a traffic light can be considered a random variable with values from 0 seconds,

it’s green when you approach and can go on through, to 30 seconds with the following distribution shape

The entire area under the distribution curve must be 1.

Let assume the Shape is rectangle

Given

Time taken from 0s to 30s = 30s - 0s = 30s

To find height of the distribution?

Let H = the height of the distribution

Based on the above assumption;.

H * 30 = 1 --- make H the subject of formula

H = 1/30

H = 0.0333

To three decimal places is 0.033

Hence, the calculated height of the distribution is 0.033