# Statistics of normal graph

Anonymous

### Question Description

1.  The Management at Ohio National Bank does not want its customers to wait in line for service for too long. The manager of a branch of this bank estimated that the customers currently have to wait an average of 8 minutes for service. Assume that the waiting times for all customers at this branch have a normal distribution with a mean of 8 minutes and a standard deviation of 2 minutes.

What is the probability that customers have to wait for 4 to 8 minutes?

Instructions: Show all steps:

a.  Draw the normal curve and indicate the mean, standard deviation, and the X bar scale

b.  Identify the area of interest (that is shade the area under the curve that you will compute the probability).

c.  Covert the X bar values in Z scores

d.  Look up the Z standardized table for the cumulative area(s).

e.  Now, make your decision ( that a customer will have to wait for 4 to 8 minutes)

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