An Article in Knee Surgery SPorts Traumatol Arthrosc, "Effect of provider volume on resource utilization for surgical preocedures," (2005, Vol. 13, pp. 273-279) showed a mean time of129 minutes and a standard deviation of 14 minutes for ACL reconstruction surgery at high-volume hospitals (with more than 300such surgeries per year).

a) What is the probability that your ACL surgery at a high-volume hospital that requires a time more than two standard deviations above the mean?

b)What is the probability that your ACL surgery at a high-volume hospital is completed in less than 100 minutes?

c)The probability of a completed ACL surgery at a high-volume hospital is equal to 95% at what time?

d)If your surgery requires 199 minutes what do you conclude about the volume of such surgeries at your hospital? Give an example.