The time spent waiting in the line is approximately normally distributed. The mean waiting time is 6 minutes and the standard deviation of the waiting time is 2 minutes. Find the probability that a person will wait for more than 4 minutes.

Respuesta :

Answer:

0.034

Step-by-step explanation:

Data:

Let the standard deviation be : [tex]\sigma = 2[/tex]

The mean be: [tex]\mu = 6[/tex]

Therefore, P (x>4) which is  the probability that a person will wait for more than 4 minutes is given by:

[tex]z = \frac{X- \mu }{\sigma }[/tex]

 = [tex]\frac{4-6}{2} \\= -1[/tex]

Therefore,

P(x > 4)  = P (z > -1)

             = P (z < -1)

From the z-tables, we find 0.034