Let X denote the data transfer time (ms) in a grid computing system (the time required for data transfer between a"worker" computer and a "master" computer). Suppose that X has a gamma distribution with mean value 37.5 ms andstandard deviation 21.6 (suggested by the article "Computation Time of Grid Computing with Data Transfer Times thatFollow a Gamma Distribution,"t).(a) What are the values of a and B? (Round your answers to four decimal places.)a =B =(b) What is the probability that data transfer time exceeds 45 ms? (Round your answer to three decimal places.)(c) What is the probability that data transfer time is between 45 and 75 ms? (Round your answer to three decimalplaces.)You may need to use the appropriate table in the Appendix of Tables to answer this question.

Answered: Image /qna-images/answer/3374691b-102d-4131-a4a9-edfa169684f8.jpg

Answered: Let X denote the data transfer time…

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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A weight-loss program wants to test how well their program is working. The company selects a simple random sample of 51 individual that have been using their program for 15 months. For each individual person, the company records the individual's weight when they started the program 15 months ago as an x-value. The subject's current weight is recorded as a y-value. Therefore, a data point such as (205, 190) would be for a specific person and it would indicate that the individual started the program weighing 205 pounds and currently weighs 190 pounds. In other words, they lost 15 pounds. When the company performed a regression analysis, they found a correlation coefficient of r = 0.707. This clearly shows there is strong correlation, which got the company excited. However, when they showed their data to a statistics professor, the professor pointed out that correlation was not the right tool to show that their program was effective. Correlation will NOT show whether or not there is…
The manager of a fleet of automobiles is testing two brands of radial tires and assigns one tire of each brand at random of eight cars and runs the cars until the tires wear out. The data (in kilometers) follow. Is there any difference in mean life of these two brands of tires? Car Brand Brand 36,925 34.318 42,280 1 45.300 36,240 3 4 35.500 32,100 31,950 38,015 37.210 48,360 5 47,800 38,200 37,810 33.500 33,215 6. 7 8. 1. Is this samples independent or paired samples? Explain. 2. Write Ho and H1 3. Calculate Test statistics(T). 4. What is the critical value (T from tables)? 5. What is your conclusions if a = 0.05? 6. Estimate with 90% confidence the different in the means. Which brand would you prefer based on this calculation?
Consider data on every game played by the Brooklyn Nets in 2014 (82 games) that includes the variables margin, - the Net's margin of victory (number of points the Nets scored minus the number of points their opponent scored) for game i, and • home; - a dummy variable equal to 1 when the Nets are the home team (game i was played in their home arena) and equal to 0 when they are the away team (game i was played in the opponent's arena). I use the least-squares method to estimate the following regression model margin = a + ßhome; + ei Below is the Stata output corresponding to the estimated regression line: regress margin home if team===== "Brooklyn Nets" . Source Model Residual Total margin home _cons SS 1459.95122 15252.0488 16712 df 1459.95122 1 80 190.65061 None of the above 81 206.320988 Coef. Std. Err. 8.439024 3.049595 -5.219512 2.156389 MS t Number of obs F(1, 80) Prob > F R-squared O The Nets lost more games than they won in 2014 P>|t| 2.77 0.007 -2.42 0.018 Adj R-squared = Root…
5. Which of the following is the assumption that the best way to describe the pattern of data is using a straight line? homoscedasticity normality linearity restriction of range
According to a 2006 survey conducted by the Center for Disease Control and Prevention (CDC), birth rates peak slightly between July and October each year. While a slight numerical increase in birth rates is often observed, this difference is assumed to be statistically non-significant. Thus, we would expect to see an equal number of people born during each month of the year in the United States. The "Birth Data.jasp" contains the birth months for 1380 babies (N = 1380) born during the year 2006 in the United States collected by the CDC. Conduct a Chi-Square Goodness of Fit Test at α = 0.05, to see if the number of babies born each month “fits” with the CDC’s assumptions about the population. Identify the correct null hypothesis. A. H0: The number of babies born throughout the year is equal across all 12 months B. H0: The number of babies born during the summer months is greater than the number of babies born during the rest of the year C. HA: The number of babies born in…
Which of the following sets of data represent valid functions? OS = {(0, – 1), (3, 1), (6, 4), (7, 9), (13, 14)} || OF = {(- 3, – 2), (1, 2), (1, 4), (8, 9), (13, 15)} OR = {(-1, - 2), (2, 1), (4, 5), ( – 1, – 2), (10, 13)} | OG = {(- 4, - 5), (2, 3), (4, 5), (9, 8), (14, 10)} Calculator Check Answer MacBook Air
In a summary report given by Ing. Pobbi on the lengths of ironrods produced by two machines, he stated that the variability ofmachine A was higher compared to that of machine B. Critiquethe report of the Engineer given data on the length of rodsproduced given as; MachineA(cm): 380 410 280 310 305 360 270 355 400 Machine B(m): 1.1 1.3 1.2 2.0 1.5 1.6 1.4 1.6 1.7
As part of the preliminary analysis of the data provided in Table D, the researcher produced the scatter plot below. Average taings, mo = e Scatter plot of Sales vs Earnings (IV) (V) (VI) A. (I), (II), and (VI) B. (II), (III), and (V) C. (III), (IV), and (V) D. (II), (IV) and (V) 40 . 50 Average Annual Sales 60 Which THREE of the following assumptions are inferable or discernible from the scatter plot? (1) Whether the sample of 20 MSMEs is representative of the population of MSMEs in the Western Cape province. Whether the assumption of a linear relationship between the independent variable and the dependent variable has been met or violated. Whether the assumption of normality of the independent variable and the dependent variable has been met or violated. The absence or presence of outliers in the data set. The direction of the relationship between the independent variable and the dependent variable. The significance of the relationship between the independent variable and the…
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Suppose the average height of all humans is normally distributed with a mean of 72 inches and a variance of 18 inches. Use this information to answer the following three questions. 1. Determine P(75<x<84). 2. Determine P(x>80). 3. Determine P(x < 65).
#21). Show how to solve and work.
Consider data on every game played by the Brooklyn Nets in 2014 (82 games) that includes the variables margin; - the Net's margin of victory (number of points the Nets scored minus the number of points their opponent scored) for game i, and • home; - a dummy variable equal to 1 when the Nets are the home team (game i was played in their home arena) and equal to 0 when they are the away team (game i was played in the opponent's arena). I use the least-squares method to estimate the following regression model margin = a + ßhome; + ei Below is the Stata output corresponding to the estimated regression line: regress margin home if team==== "Brooklyn Nets" Source Model Residual Total margin home _cons SS 1459.95122 15252.0488 16712 df 1 80 Coef. Std. Err. MS 81 206.320988 8.439024 3.049595 -5.219512 2.156389 1459.95122 190.65061 t Number of obs F (1, 80) Prob > F R-squared. Adj R-squared = Root MSE P>|t| 2.77 0.007 -2.42 0.018 82 7.66 0.0070 0.0874 0.0760 13.808 [95% Conf. Interval]…

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