Studies on a machine that molds plastic water pipe indicate that when it is injecting 27.08 mm diameter pipe, the process standard deviation is 0.25 mm. The pipe has a specification of 27.08 mm plus or minus 2.38 mm. What is the process capability index (Cp)?

a. 1.587 b. 6.347 c. 9.52 d. 3.173

A single server queuing system with a Poisson arrival rate and exponential service time has an average arrival rate of 14 customers per hour and an average service rate of 20 customers per hour. What is the probability that a customer waits 6 minutes or more in the line?

a.

0.7

b.

0.6158

c.

0.3

d.

0.3842