43. Six thousand light bulbs light a large hotel and casino marquee. Each bulb failscompletely at random, and each has an average lifetime of 3,280 hours. Assuming thatthe marquee stays lit continuously and bulbs that burn out are replaced immediately, howmany replacements must be made each year on the average?14

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Answered: 43. Six thousand light bulbs light a…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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A local cab company maintains a fleet of 10 cabs. Each time a cab breaks down, it isrepaired the same day. Assume that breakdowns of individual cabs occur completely atrandom at a rate of two per year.d. What is the probability that there are more than five breakdowns between Thanksgiving Day (November 28) and New Year’s Day (January 1)?e. For what reason might your answer in part (d) be too low?
A local cab company maintains a fleet of 10 cabs. Each time a cab breaks down, it isrepaired the same day. Assume that breakdowns of individual cabs occur completely atrandom at a rate of two per year.d. What is the probability that there are more than five breakdowns between Thanksgiving Day (November 28) and New Year’s Day (January 1)?
9.19 In bottle production, bubbles that appear in the glass are considered defects. Any botle that has more than two bubbles is elassified as "nonconforming" and is sent to recycling Suppose that a particular production line produces bottles with bubbles at a rate of 1. bubbles per bottle. Bubbles occur independently of one another. a What is the probability that a randomly chosen bottle is nonconfornming? b Bottles are packed in cases of 12. An inspector chooses one bottle from each case and examines it for defects. If it is nonconforming, she inspects the entire case, re placing nonconforming bottles with good ones. This process is called rectification If the chosen bottle conforms (has two or fewer bubbles), then she passes the cuse. In total, 20 cases are produced. What is the probability that at least 18 of them pass! c What is the expected number of nonconforming bottles in the 20 cases after they have been inspected and rectified using the scheme described in part b?
A local cab company maintains a fleet of 10 cabs. Each time a cab breaks down, it isrepaired the same day. Assume that breakdowns of individual cabs occur completely atrandom at a rate of two per year.a. What is the probability that any particular cab will run for a full year withoutsuffering a breakdown?
My home uses two light bulbs. On average, a light bulblasts for 22 days (exponentially distributed). When a lightbulb burns out, it takes an average of 2 days (exponentiallydistributed) before I replace the bulb.a Formulate a three-state birth–death model of thissituation.b Determine the fraction of the time that both lightbulbs are working.c Determine the fraction of the time that no light bulbsare working.
If events X and Y are mutually exclusive then A- P(X)P(Y) = 0 B- they are independent events C- their joint probability is zero D- P(X)P(Y) = P(X | Y)
A cosmetics company fills its best selling jars of facial cream by an automatic dispensing machine. The machine is set to dispense a mean of 7.2 ounces per jar. Uncontrollable factors in the process can cause either underfill or overfill, both of which are undesireable. In such a case, the dispensing can be stopped and recalibrated. Regardless of the mean amount despensed, the standard deviation of the amount dispwnsed always has a value of 0.25 ounce. A quality control engineer routinely selects 36 jars from the assembly line to check the amounts filled. On one occasion, the sample mean is 7.8 ounces. Determine if there is sufficient evidence in the sample to indicate, at the 1% level of significance, that the machine should be recalibrated.
A producer of pocket calculators estimates that the calculators fail at a rate of one every five years. The calculators are sold for $25 each with a one-year free replacement warranty but can be purchased from an unregistered mail-order source for $18.50 without the warranty. What length of period of the warranty equates the replacement costs of the calculator with and without the warranty?
40. Habard's, a chain of hardware stores, sells a variety of tools and home repair items. One of their best wrenches sells for $5.50. Habard's will include a three-year free replacement warranty for an additional $1.50. The wrench is expected to be sub- ject to heavy use and, based on past experience, will fail randomly at a rate of one every eight years. Is it worth purchasing the warranty?
Deborah Holwager, a concessionaire for the Amway Center in Orlando, has developed a table of conditional values for the various alternatives (stocking decision) and states of nature (size of crowd) Alternatives States of Nature (size of crowd) Large Average Small Large Inventory Ave yge Inventory Smal Inventory $12,000 -51,000 $18,000 $15.000 $16,000 $4,000 $10,000 $5,000 Probabilities associated with the states of nature are 0.35 for a large crowd, 0.50 for an average crowd, and 0.15 for a small crowd. $6.000 a) The alternative that provides Deborah the greatest oxpected monetary value (EMV) is The EMV for this decision is s (enter your answer as a whole number).
D. Given the following data on the number of CitChat brand prepaid card (in units) that has been sold in the first eight months in a telecommunication shop in Jitra, Kedah: Bulan/Month Iualan/sales 785 2 600 3 578 4 590 5 770 6 805 7 710 8 900 Compute a 3-months moving average for the period from month 5 until 8 (of the next year).
#5 Which of the following is a simulation? some method of generating virtual measurements that look like what would be gotten from a sample taking a series of measurements based on multiple samples measuring the mean and standard deviation of measurements from a sample specifying the expected mean and standard variation of measurements for an entire population

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