General Instructions:
1. Do not send your answers online.
2. For uniformity, answers will be handwritten and placed in Yellow Pad(s).
3. NO writing at the back (any answers written on the back of the yellow pad will not be considered).
4. Write legibly and do not use pencil.
5. Write yourNAME (Last, First) and SECTION at the upper left hand corner of every sheet.
6. No need to write the question on the yellow pad.
7. Show complete solution and box or encircle final answer.
8. Do proper labeling (i.e. indicate if the expected value is expected return, variance, etc.)
9. Stapling …show more content…
What is the proper value for f(200)?
b. What is the probability that MRA will be profitable?
c. What is the probability that MRA will make at least $100,000?
3. A shipment of 10 items has two defective and eight nondefective items. In the inspection of the shipment, a sample of items will be selected and tested. If at least one detected item is found, the shipment of 10 items will be rejected. a. If a sample of 3 items is selected, what is the probability that the shipment will be rejected? b. If a sample of 4 items is selected, what is the probability that the shipment will be rejected? c. If a sample of 5 items is selected, what is the probability that the shipment will be rejected?
4. The unemployment rate is 4.1% (Barron’s, September 4, 2000). Assume that 100 people are selected randomly. a. What is the probability that at most 5 out of 100 are unemployed? b. What is the expected number of people who are unemployed? c. What is the variance of the number of people who are unemployed?
5. Airline passengers arrive randomly and independently at the passenger – screening facility at a major international airport. The mean arrival rate is ten passengers per