The Porsche Shop, founded in 1985 by Dale Jensen, specializes in the restora- tion of vintage Porsche automobiles. One of Jensen's regular customers asked him to prepare an estimate for the restoration of a 1964 model 356SC Porsche. To esti- mate the time and cost to perform such a restoration, Jensen broke the restoration process into four separate activities: disassembly and initial preparation work (A), body restoration (B), engine restoration (C), and final assembly (D). Once activity A has been completed, activities B and C can be performed independently of each other; however, activity D can be started only if both activities B and C have been completed. Based on his inspection of the car, Jensen believes that Table 1 reflects time estimates in days.

Activity Optimistic Most Probable Pessimistic A 3 8 4 B 5 8 11 C 2 4 6 D 4 5 12

Develop a project network.

What is the expected project completion time?

A paint manufacturer's production process is normally distributed with a mean of 500, 000 gallons and a standard deviation of 20, 000 gallons. Management wants to create an incentive bonus for the production crew when the daily production exceeds the 96th percentile of the distribution.

At what level of production should management pay the incentive bonus?

.What is the probability that the deviation of daily production from mean being greater than 39, 200 gallons?

A smart phone manufacturer has two factories (A and B). Factory A produces 40% of the smart phones and factory B produces the remaining 60%. Factory A has a defect rate of 1/80 while factory B has a defect rate of 1/60.

When we find a defective smart phone, what is the probability that it is from factory A?

We have found two defective smart phones. If one of them is from factory A, what is the probability that both of the phones are from factory A?

We have found two defective smart phones. If at least one of them is from factory A, what is the probability that both of the phones are from factory A?