Reference no: EM13953530
Q1) During the year 2000, there was an average of .022 car accident per person in the United States. Using your knowledge of the Poisson random variable, explain the truthin the statement, "Most drivers are better than average."
Q2) My home uses two light bulbs. On average, a light bulb lasts for 22 days (exponentially distributed). When a light bulb burns out, it takes an average of 2 days (exponentially distributed) before I replace the bulb.
a) Formulate a three-state birth-death model of this situation.
b) Determine the fraction of the time that both light bulbs are working.
c) Determine the fraction of the time that no light bulbs are working.
Q3) The decision sciences department is trying to determine whether to rent a slow or fast copier. the department believes an employees time is worth $15/hour. The slow copier rents for $4 per hour and it takes an average of 10minutes to complete copying. The fast copier rents for $15 per hour and takes an average of 6 minutes to complete copying. On average, 4 employees per hour need to use the copying machine. Which machine should the department rent to minimize expected total cost per hour? Assume the copying times and interarrival times to the copying machine are exponentially distributed.
Q4) Assume that an average of 125 packets per second of information arrive to a router and that it takes an average of .002 second to process each packet. Assuming exponential interarrival and service times, answer the following questions
A) What is the average number of packets waiting for entry into the router?
B) What is the probability that 10 or more packets are present?
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Financial statement impact of a lease
: Benjamin's Warehouse signed a six-year capital lease on January 1, 2014, with payments due ev- ery December 31. Interest is calculated annually at 10%, and the present value of the minimum lease payments is $13,065.
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Determine the radiation intensity needed to support the bead
: A laser can be used to suspend beads in the earth's gravitational field. A bead with mass 5 * 10^-6 g and density of .400 g/cm^3 is to be suspended. Determine the radiation intensity needed to support the bead.
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What is the angle of incidence of the violet light
: Red light (n = 1.520) and violet light (n = 1.538) traveling in air are incident on a slab of crown glass. Both colors enter the glass at the same angle of refraction. The red light has an angle of incidence of 35.96 degrees. What is the angle of ..
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Problem regarding the leased asset
: Hopper Corporation signed a ten-year capital lease on January 1, 2014. The lease requires annual payments of $8,000 every December 31.
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Formulate a three-state birth-death model of this situation.
: Determine the fraction of the time that no light bulbs are working.
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What is your first impression of each aisle
: Questions you should consider: What is your first impression of each aisle? What characterizes a girl's toy? A boy's toy? Do you notice any themes when you look at the toys in each aisle
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How far from the object should the lens be held
: What is the angular magnification when this lens forms a (virtual) image at -infinity. (I've done this one. The answer is 2.27. But I can't figure out how to do the others.)
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Redemption of a bond at maturity
: On March 31, 2014, Sammonds Inc. issued $250,000 face value bonds at a discount of $7,000. The bonds were retired at their maturity date, March 31, 2024.
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Problem regarding the redemption of bonds
: Reynolds Corporation issued $75,000 face value bonds at a discount of $2,500. The bonds contain a call price of 103. Reynolds decides to redeem the bonds early when the unamortized discount is $1,750.
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