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?44. The owner of the hotel mentioned in Problem 43 has decided that in order to decreasethe number of burned-out bulbs, she will replace all 6,000 bulbs at the start of eachyear in addition to replacing the bulbs as they burn out. Comment on the effectivenessof this strategy.

Note: As per the guidelines for more than two question only one question has to be answered. Please…

Answered: 43. Six thousand light bulbs light a…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 2EQ: 2. Suppose that in Example 2.27, 400 units of food A, 500 units of B, and 600 units of C are placed...

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2. Suppose that in Example 2.27, 400 units of food A, 500 units of B, and 600 units of C are placed in the test tube each day and the data on daily food consumption by the bacteria (in units per day) are as shown in Table 2.7. How many bacteria of each strain can coexist in the test tube and consume all of the food? Table 2.7 Bacteria Strain I Bacteria Strain II Bacteria Strain III Food A 1 2 0 Food B 2 1 3 Food C 1 1 1
Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.
QUESTION 5 A country club wants to exam the effects of a new marketing campaign that attempts to get more people within the community to become members. In many communities, when people buy a house in the area, they receive a “Welcome Wagon” gift basket containing coupons to local restaurants. The idea of the marketing campaign is to include a free two month membership to the country club in the gift basket with the hope that once “new” residents try the country club then at least a certain proportion will want to become real members. One member of the Club’s Executive Council believes that at least 80% of the people who receive the coupons for the free membership will use the coupon. In a sample of 197 new residents who received the coupon for the two month free membership, there were 136 people who actually took advantage of the free two month membership. When testing the hypothesis that at least 80% of the people that receive the coupon actually use it, what is the test statistic?…
A iPhone store starts by selling 100 iPhone pre-ordered in week zero and expects to sell an average of 15%more each week after that. How many iPhone is the store expected to sell in week 4?
2. A research Development department at Oda manufacturing company determines that 20% of people who purchase their products during any given month will not purchase the next month. On the other hand, 30% of the people who could not purchase during any given month will purchase in the next month. On a population of 1000 people 100 purchased their products this month. How many will purchase their product. 1. In the long run?
A farmer would like to evaluate Miracle Grow when used on his potted daisy plants. He sets up 20 plants in a room all facing the same window, obtaining the same amount of sunlight, and waters them identically each day. For a month, he monitors how much each plant grows. Then, he adds Miracle Grow to every pot and monitors how much each plant grows during a month with Miracle Grow. At the end of two months, he discovers that 14 plants grew more with Miracle Grow. Test the hypothesis that Miracle Grow increases plant growth (using an alpha level of .01). a) Is this a one-tailed or two-tailed test? ( b) State the null hypothesis. c) State the alternative hypothesis. d) Find the critical value(s). e) Calculate the obtained statistic. f) Calculate the P-Value (significance) of the obtained statistic). g) Make a decision. h) What does your decision mean?
Consider a service facility with four clerks. Clerk one works at rate 14/hour; Clerk two at rate 18/hour; Clerk three at rate 20/hour; and Clerk four at rate 16/hour. All service times are independent and exponential. If when you arrive there is already one person waiting, what is your expected waiting time?
Two separate samples are selected from the same population. Each have an n=8. Both samples receive a different treatment. After the treatment, the first sample has SS=16 and the second sample has SS=24. Calculate the estimated d AND r2.
part C D 33000331 UPH-1 St. Lawrence dolomite 618 0.05 2.69 2.74 2.83 48000168 Langer Platteville dolomite 127.8 0.06 2.69 2.75 2.86 52000415 3-21-13z1 Galena dolomite 575 0.04 2.72 2.76 2.83 52000415 3-21-13z1 Platteville dolomite 740 0.05 2.7 2.75 2.85 60000086 VD #1 Silurian dolomite 684 0.03 2.75 2.78 2.83 60000086 VD #1 Galena dolomite 1070 0.05 2.69 2.74 2.84 60000086 VD #1 Platteville dolomite 1142 0.02 2.77 2.79 2.83 13001466 NS-2 Tunnel City sandstone 60.1 0.14 2.41 2.54 2.79 13001466 NS-2 Tunnel City sandstone 60.2 0.28 1.93 2.21 2.67 13001466 NS-2 Tunnel City sandstone 118.3 0.3 1.88 2.18 2.7 33000331 UPH-1 St. Peter sandstone 222 0.22 2.06 2.28 2.65 33000331 UPH-1 Jordan sandstone 531 0.21 2.09 2.3 2.65 33000331 UPH-1 Tunnel City sandstone 644 0.18 2.22 2.4 2.7 33000331 UPH-1 Wonewoc sandstone 735 0.2 2.12 2.32 2.65 33000331 UPH-1 Wonewoc sandstone 840 0.27 1.93 2.2 2.66 33000331 UPH-1 Mt. Simon sandstone 927 0.18 2.31 2.49 2.81…
In his doctoral thesis, L. A. Beckel (University of Minnesota, 1982) studied the social behavior of river otters during the mating season. An important role in the bonding process of river otters is very short periods of social grooming. After extensive observations, Dr. Beckel found that one group of river otters under study had a frequency of initiating grooming of approximately 1.7 for each 10 minutes. Suppose that you are observing river otters for 40 minutes. Let r = 0, 1, 2, ... be a random variable that represents the number of times (in a 40-minute interval) one otter initiates social grooming of another. Lambda = 6.8 (b) Find the probabilities that in your 40 minutes of observation, one otter will initiate social grooming four times, five times, and six times. (Round your answers to four decimal places.) P(4) = P(5) = P(6) =
Two separate samples are selected from the same population. Each have an n=8. Both samples receive a different treatment. After the treatment, the first sample has SS=16 and the second sample has SS=24. c. Calculate the estimated d AND r2
4.67 The hoapital is planning a new emergency-room facility. It wants enough beds in the emergency ward so that for at least 95% of normal-pollution days it will not neeci to turn anyone away. What is the smallest number of beds it should have to satisfy this criterion? Hepatic Disease Suppose we observe 84 alcoholics with cirrhosis of the liver, of whom 29 have hepatomas-that is, liver-cell carci- noma. Suppose we know, based on a large sample, that the risk of hepatoma among alcoholics without cirrhosis of the liver is 24%. 5.50 What is the probability that we observe exactly 29 alcoholics with cirrhosis of the liver who have hepatomas if the true rate of hepatoma among alcoholics (with or without cirrhosis of the liver) is .24? 5.51 What is the probability of observing at least 29 hepa- tomas among the 84 alcoholics with cirhosis of the liver under the assumptions in Problem 5.50? 5.52 What is the smallest number of hepatomas that would have to be observed among the alcoholics with…

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