5. (i) Show that the chance that an exponentially distributed variable takes on a valuebelow its mean is more than 60% and that the chance that the value will be below halfof the mean is almost 40%.(ii) When are exponentially distributed interarrival (service) times reasonable / unrea-sonable for a queuing system?

Given the chance that an exponentially distributed variable takes on a value below its mean is more…

Answered: 5. (i) Show that the chance that an…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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34. Due to the rising demand for face masks, a manufacturer decides to target a daily profit of PhP 1,000,000.00. If P(x) = 2r+ x- 10 represents average total daily cost at x assumed at PhP 500.00, what is the difference between the daily target profit and average total daily cost? B. PhP 420, 510.00 C. PhP 499,510.00 A. PhP 399, 520.00 105.00 D. PhP 599,
19
1. It has been noted that there is a positive correlation between the U.S. economy and the height of women's hemlines (distance from the floor of the bottom of a skirt or dress) with shorter skirts corresponding to economic growth and lower hemlines to periods of economic recession. Comment on the conclusion that economic factors cause hemlines to rise and fall. # of Absences (in weeks) Exam Grade 1 2 345 23 014 90 85 95 92 80
The R-squared of a regression of an asset’s excess returns against a multi-factor asset pricing model indicates the proportion of the asset’s total volatility that is non-systematic. True False
4. Suppose your professor informs you that the course will be graded on a curve so that no matter how well you know the material, only 40 percent of students will get As, 40 percent will get Bs, and the rest will get Cs. This means you must work hard in absolute terms and also relative to your classmates. Use an extensive form model to describe the likely progression of this scenario.
4. Movements along versus shifts of demand curves Consider the market demand for chicken wings. Complete the following table by indicating whether an event will cause a movement along the demand curve for chicken wings or a shift of the demand curve for chicken wings, holding all else constant. Event An increase in income of consumers An increase in the price of burgers (a substitute for chicken wings) An increase in the price of chicken wings Movement Along Shift O
4 Chemical Oxygen Demand (COD) is a necessary water fine parameter due to the fact similar to BOD, it affords an index to examine the effect discharged wastewater will have on the receiving environment. Table 4 shows the means for the removal reduction of COD in wastewater by three different treatment methods. Test the hypothesis that the reduction percentage is no different for each treatment method. Use the 5% level of significance.
4. Suppose that the weekly sales S (in thousands of units) t weeks after a new software has been 200 introduced are given by S= When will sales be greater than or equal to 8 thousand ? +100 units per week? (Use and interval table)
need correct and urgent
The Organization for Economic Cooperation and Development (OECD) consists of 20 industrialized countries. For these nations, the prediction equation relating y = child poverty rate (in percentage points) to x = social expenditure as a percentage of gross domestic product (GDP) is = 22-1.3x. In 2000, the actual child poverty rate ranged from 2.8% (in Finland) to 21.9% (in the U.S.). Social expenditure as a percentage of GDP ranged from 2% (in the United States) to 16% (in Denmark). What is the value of the y-intercept (a) estimated in the linear prediction equation provided above (= 22-1.3x)? Also, interpret the y-intercept. y-intercept: Interpretation of y-intercept:
5
4. You point your Geiger counter at a banana, waiting for it to click. You know that the time you have to wait is exponentially distributed with rate >= 1 Unfortunately, 10% of all Geiger counters have been sabotaged by Big Banana. A sabotaged Geiger counter, when pointed at a banana, will instead click after every 60 seconds to lull you into complacency. (a) Determine the CDF of the waiting time until your Geiger counter clicks (you do not know if your Geiger counter has been sabotaged). (b) If you have been waiting for 30 seconds and your Geiger counter still hasn't clicked yet, what is the probability that it has been sabotaged?

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