Question

It is assumed that the time customers spend in a record store is uniformly distributed between 3 and 12 minutes. Based on this information, what is the probability that a customer will be exactly 7.50 minutes in the record store

Answer 1

0% probability that a customer will be exactly 7.50 minutes in the record store.

Explanation:

Uniform probability distribution:

An uniform distribution has two bounds, a and b.

The probability of finding a value of at lower than x is:

`P(X < x) = (x - a)/(b - a)`

The probability of finding a value between c and d is:

`P(c \leq X \leq d) = (d - c)/(b - a)`

The probability of finding a value above x is:

`P(X > x) = (b - x)/(b - a)`

The uniform distribution is a continuous distribution, which means that the probability of an exact outcome is zero.

Uniformly distributed between 3 and 12 minutes.

This means that
`a = 3, b = 12`

What is the probability that a customer will be exactly 7.50 minutes in the record store?

Continuous distribution, so:

0% probability that a customer will be exactly 7.50 minutes in the record store.