1. Run a Monte Carlo simulation 1000 trials for the following distribution.

X Prob.

10 0.15

20 0.22

30 0.24

40 0.18

50 0.13

60 0.08

a. Determine the mean and standard deviation of the simulated distribution.

b. Does the simulated distribution look like the original distribution?

c. Calculate from the simulation the P(X>=40).

2. A large lot of computer chips (2000 chips) is tested to determine if the lot is acceptable. The testing procedure is the following. A sample of 50 chips is randomly selected from the lot. If the number of defective chips in the sample is less than 5, then the lot is accepted. Otherwise, it is rejected. a) For different values of p, the defective rate of the lot, compute the probability that the lot is accepted. Let p vary from 0.02 to 0.20 in increments of 0.02. b) Sketch the graph of the probabilities of the lot acceptance as the p value varies from 0.02 to 0.20.

3. A multiple choice test with 50 questions is given. Each question has four choices. Given that a student guesses ( 0.25 chances of guessing correct) on each question, answer the following:

a. What is the student’s probability of passing if passing is at least 60% correct?

b. What is the student’s probability of passing if passing is at least 50% correct?

c. In each of the previous two cases(a and b), compute the expected value and standard deviation of the number correct.

Subject | Mathematics |

Due By (Pacific Time) | 06/03/2013 12:00 pm |

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