| Basic math symbols Symbol | Symbol Name | Meaning / definition | Example | = | equals sign | equality | 5 = 2+3 | ≠ | not equal sign | inequality | 5 ≠ 4 | > | strict inequality | greater than | 5 > 4 | < | strict inequality | less than | 4 < 5 | ≥ | inequality | greater than or equal to | 5 ≥ 4 | ≤ | inequality | less than or equal to | 4 ≤ 5 | ( ) | parentheses | calculate expression inside first | 2 × (3+5) = 16 | [ ] | brackets | calculate expression inside first
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X ∼ is geometric with p = 1/6. So P (X = 8) = (1 − p)7 p = 0.0465 Q3. Assume that random variables X and Y are independent and have distribution X ∼ Poisson(2) and Y ∼ B(5‚ 0.2)‚ respectively. Compute P ({X = 0} or {Y = 0}) = P ({X = 0} ∪ {Y = 0}) . (The numbers are rounded up to the fourth decimal place) (a) (d) 0.4325 0.4187 (b) (e) 0.5621 (c) 0.4630 insufficient information provided Solution to Q3:
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simultaneous linear equations •Linear programming •Transportation model •Integer programming •Network models •Project analysis by CPM/PERT •Poisson queuing models •Zero-sum games The software provides a number of tutorial features: 1. TORA allows both user-guided (tutorial) and automated use of the software. 2. In the user-guided option‚ steps of the algorithms are reproduced
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Molecular Biology 344 fall 2012 A Johnson Due 9/11/12 as hard copy at the beginning of lecture Problem Set 1 1. Look carefully at the structures of the two molecules shown below. a. What would you expect to happen if you added ddCTP (shown in a) to a DNA synthesis reaction in vitro in large excess over the concentration of deoxycytidine triphosphate (dCTP)? How will this affect the pattern of bands on the sequencing gel? The ddCTP lacks the OH‚ which is required for elongation
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to August 31 2011‚ Jamaica welcomed a total of 2.1 million visitors. And projection estimate that a further more 500‚000 would arrive. The CTO also reported that Caribbean. annual tourist arrivals to the Caribbean are were more than 20 million‚ which mean that Jamaica accounts for more than 12% of tourist arrivals. At the JAPEX conference‚ the then Minister of Tourism Edmund Bartlett said: After the origins of the tourists are clearly outlined‚ there should be great consideration to be paid towards
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Bitcoin: A Peer-to-Peer Electronic Cash System Satoshi Nakamoto satoshin@gmx.com www.bitcoin.org Abstract. A purely peer-to-peer version of electronic cash would allow online payments to be sent directly from one party to another without going through a financial institution. Digital signatures provide part of the solution‚ but the main benefits are lost if a trusted third party is still required to prevent double-spending. We propose a solution to the double-spending problem using a peer-to-peer
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be set for the pre- arrival stage of the guest cycle By: xxxx For: xxxx Unit: xxxx Submission Date: xxxx Abstract: This report is aimed to discuss the need for clear procedures to be set for the pre-arrival stage of the guest cycle. The pre arrival stages in a guest cycle entail services that are executed by people or other relevant systems (like software) to deliver the best to the guests. Reservations are an important stage in pre-arrival of all guests. An effective
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(where one runway handles both arrivals and departures‚ one runway only departures‚ and one runway only arrivals) to two (where two runways handle both arrivals and departures.) Arrival capacity in the former case averages around 60 planes an hour‚ and in the latter case (a situation that occurs on average 30 days a year)‚ 45 planes an hour. When weather conditions are particularly severe (a situation that occurs on average 10 days a year)‚ only one runway for both arrivals and departures is in operation
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Final Exam Review Questions You should work each of the following on your own‚ then review the solutions guide. DO NOT look at the solutions guide first. 1. Explain the difference between a population and a sample. In which of these is it important to distinguish between the two in order to use the correct formula? mean; median; mode; range; quartiles; variance; standard deviation. 2. The following numbers represent the weights in pounds of six 7year old children in Mrs. Jones’ 2nd grade class. {25
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1. The time between arrivals of cars at MRR Service Company is shown in the following probability distribution: Times between Arrivals (Min) Probability 1 0.15 2 0.30 3 0.40 4 0.15 1.00 a) Simulate the arrival of cars at the company for 20 arrivals‚ and compute the average time between arrivals. Random number: 39‚ 73‚ 72‚ 75‚ 37‚ 02‚ 87‚ 98‚ 10‚ 47‚ 93‚ 21‚ 95‚ 97‚ 69‚ 41‚ 91‚ 80‚ 67‚ 59. b) Simulate the arrival of cars at the service station for one hour‚ and compute the average time between
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