Question

Exhibit 5-11 The random variable x is the number of occurrences of an event over an interval of 10 minutes. It can be assumed the probability of an occurrence is the same in any two time periods of an equal length. It is known that the mean number of occurrences in 10 minutes is 5.3. Refer to Exhibit 5-11. The expected value of the random variable x is

Answer 1

The expected value of the random variable x is
`E(x) = 5.3`

Explanation:

From the question we are told that

The number of occurance is x

The interval for the x occurance of the event is
`t = 10 minutes`

Generally the expected value is the same as the mean so the expected value the random variable x is

`E(x) = 5.3`