NOTE: 1). This is an open book, closed notes test 2)- Do not write only the answ
ID: 421549 • Letter: N
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NOTE: 1). This is an open book, closed notes test 2)- Do not write only the answers for a question. You need to show how you got the answers 3)-If you use Excel in a problem, include at least the first page of the excel output in You have 85 minutes to complete the test. Answer Questions 1,2, and 3A or 3 your lest book. Underline your final answer to euch question Problemi Problem Problem 2 Problem 3 Total Grade Test Grade Grade Problem # (15 points) A biased coin has a 60% probability of landing with a "Head" when it is tossed. Simulate a sequence of 120 tosses and answer the following questions A)- What is the likelibood of obtaining three consecutive Heads? B)- what is the likelihood of Obtaining 2 consecutive Tails? Problem #2. (15 Points) Consider a General Motors worker who earns $15 an hour. His past schedules show that he most of the time works 8 hours/day, but some days he is asked to work more than 8 hours (1 to 4 hours of overtime), and some days he does not work at all. Note that when he works overtime, he gets 50% more wages for the overtime hours. The following probability (01%) distribution ofdifferent types ofwork days is provided. Type of workday Work regularly (8 hours per day) 080 Work with 2 Hours overtime No work (stay at home). 0.15 0.05 Simulate the situation for 30 days, and determine: A)- average wage earned per day B)- Average weekly overtime (in S) earned per week) ? develop a histogram of the total wage earned per day Corsien n un2o n rints .2x where 0s x53, Use smulation to determine Consider the function f(x) 1+2x where 0s xs 3. Use simulation to determine area under this curve (or Integral of the function) Problem #38 (20 points) Customers arrive in a bank (with one teller) randomly. The service time is constant and current studies show that it is about 18 minutes per customer. Use the following sequence of inter-arrival times, simulate the system for the 10 customers and answer the following questions. Start at time-0 Customer AT9 26 24 33 12 75 15 AT is used for "Inter-arrival time" or tirne between consecutive arrivalsExplanation / Answer
solution#1
probability of getting threee consecutive head=90/120=3/4=0.7
probability of getting two tail consecutive=60/120=2
solution#2
(a)average wage earned=0.80*7=0.560
0.560/2=0.280
(B)0.15=ot hours
total time=0.560+0.15=0.71
0.71*8=0.568
3solution#3
f(X)=1+2x
f(1)=3
f(2)=5
f(3)=7
solution#4
customer number=18 start time=0 TAT=36
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