The Krasnapolski is a top-of-the-line hotel in Amsterdam, the Netherlands. Among their many services, they rent bicycles to guests. The bicycle checkout is open 24 hours per day 7 days per week and has 50 bicycles on hand. On average, 10 guests request a bicycle each day, arriving completely randomly at all times of the day during the spring and summer seasons. Guests keep bicycles for four days on average, with a standard deviation of two days. Remember: any time you see the term "random" associated with the job arrivals it means the coefficient of variation is equal to one; that is, the standard deviation in the time between arrivals is equal to the mean time between arrivals.

How long does a guest on average have to wait for a bike?

1. Approximately 47 minutes

2. Approximately 4 days

3. Approximately 24 hours

4. Approximately 0.033 hours

For a population with a mean equal to 150 and a standard deviation equal to 25, calculate the standard error of the mean for the following sample sizes. a) 20 b) 40 c) 60

a) The standard error of the mean for a sample size of 20 is .______ (Round to two decimal places as needed.)

b) The standard error of the mean for a sample size of 40 is . ______(Round to two decimal places as needed.)

c) The standard error of the mean for a sample size of 60 is .______ (Round to two decimal places as needed.)

You have a 40- lightbulb and a 100-W bulb.

1. Find the resistances of the 40-W bulb. Take that ΔV = 120 V.

2. Find the resistances of the 100-W bulb. Take that ΔV = 120 V.

3. If the two bulbs are connected separately, which of them will be brighter?

4. If the two bulbs are connected in series to a battery source, which of them will be brighter?

5. If the two bulbs are connected in parallel to a battery source, which of them will be brighter?

I live in Rapid City and commute to Spearfish. I leave Rapid City by 6 minutes after 8 and get onto I-90 at Exit 52. I must exit I-90 at Exit 12 by no later than 8:50 so that I am not late for class. Normally, I can drive the speed limit and make it on time.

Over the past few years there has been a lot of construction on Interstate 90. For example, last year 4 miles of road was under construction between Mile Marker 26 and 30 (Sturgis). The posted speed limit in the construction zone (single lane -- do not pass) is 55 mph, but I always end up behind someone that is going only 49mph. When I am not in the Construction Zone, what is the minimum speed that I have to drive, so that I can be at Exit 12 by 8:50?

Mr. Asimov must replace the 8 robots on his assembly line. The Robo100 model costs $30152 per robot and they will last for three years. The EconoRobo model costs $10878 per robot and will last for two years. The Robo100 models will have an end of life salvage value of $7553 each. The EconoRobo models will not have any value at the end of their lives. The Robo100 models are also more energy efficient and it is estimated Mr. Asimov will be able to save a total of $3595 per year in energy costs. Mr. Asimov uses a MARR of 10% to evaluate potential investments. Using present worth analysis, what is the present worth of the Robo100 system? Notes: Assume all robots on the assembly line are replaced.

Equivalent annual annuity ) Rib & Wings-R-Us is considering the purchase of a new smoker oven for cooking barbecue, ribs, and wings. It is looking at two different ovens. The first is a relatively standard smoker and would cost $ 49,000 , last for 9 years, and produce annual cash flows of $ 14,000 per year. The alternative is the deluxe, award-winning Smoke-alator, which costs $ 80,000 and, because of its patented humidity control, produces the "moistest, tastiest barbecue in the world." The Smoke-alator would last for 13 years and produce cash flows of $20,000 per year. Assuming a required rate of return of 8 percent on both projects, compute their equivalent annual annuities (EAAs ).

The EAA of the standard smoker is $?.

The EAA of the Smoke-alator is $?

Problem Page

Question

A number cube is rolled three times. An outcome is represented by a string of the sort OEE (meaning an odd number on the first roll, an even number on the second roll, and an even number on the third roll). The 8 outcomes are listed in the table below. Note that each outcome has the same probability.

For each of the three events in the table, check the outcome(s) that are contained in the event. Then, in the last column, enter the probability of the event.

1. You know the true properties of the data so you can answer the two following questions: (and you do not need to know the Y values to answer)

Expected value= 0 Variance= 10

a. What is the true variance of beta hat 1?

b. What is the true variance of beta hat 2?

A 12.75 year maturity zero-coupon bond selling at a yield to maturity of 8% (effective annual yield) has convexity of 150.3 and modified duration of 11.81 years. A 30-year maturity 6% coupon bond making annual coupon payments also selling at a yield to maturity of 8% has nearly identical duration of 11.79 years, but considerably higher convexity of 231.2. Answer the following:

(a)I) Calculate the prices of these two bonds.

ii) do the same but this time assume the yield to maturity on both bonds decreases to 7%.