Lexie is waiting for a train. If X is the amount of time before the next train arrives, and X is uniform with values between 4 and 11 minutes, then what is the average (mean) time for how long she will wait

Respuesta :

Answer:

The average (mean) time for her to wait is 7.5 minutes before the arrival of the next train.

Explanation:

The values between 4 and 11 minutes are: 5, 6, 7, 8, 9, and 10.

Since X has a uniform value between 4 and 11, then

          average time  =  [tex]\frac{5+ 6+ 7+ 8+ 9+ 10}{6}[/tex]

                                  =  [tex]\frac{45}{6}[/tex]

                                  = 7.5

The average time for Lexie to wait for the next train would be 7.5 minutes.