Question

The random variable x is the number of vehicles that pass through an intersection in a 30-minute interval. It can be assumed that the probability of an occurrence is the same in any two time intervals of an equal length. It is known that the mean number of occurrences in 30 minutes is 9. What is the expected value of the random variable x?

Answer 1

9 is the correct answer to the given question .

Explanation:

AS mention in the question the random variable x is the number of vehicles that passing through the intersection in the 30-minute .So we concluded that it is normal distribution because in the normal distribution the variable values are divided .

In the Normal distribution

`Mean \ number\ =\ Expected\ value\ \\Here Mean number\ =\ 9`

Therefore the Expected value =9.