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QUESTION 6 The time to failure (in hours) of fans in a personal computer can be...
The time to failure (in hours) of fans in a personal computer can be modeled by...
The time to failure (in hours) of fans in a personal computer can be modeled by an exponential distribution with A= VUUS. Round your answers to 4 decimal places. (a) What proportion of fans will last at least 8000 hours? (b) What proportion of fans will last at most 7000 hours?
Suppose that the time to failure (in hours) of hard drives in a personal computer can...
Suppose that the time to failure (in hours) of hard drives in a personal computer can be modelled by an exponential distribution with λ = 0.003. Use Monte Carlo simulation, or otherwise, to approximate the following: Assume a computer now has 4 independent hard-drives and the failure of the computer occurs once all 4 hard drives have died. What is the mean life of the computer?
3. The time to failure (Y , measured in hours) of fans in a laptop computer...
3. The time to failure (Y , measured in hours) of fans in a laptop computer is modeled using an exponential distribution with λ = 0.0002. (a) Graph the pdf of Y . Compute E(Y ) and var(Y ). Place an “×” on the pdf indicating where E(Y ) is. (b) What is the probability that a fan will fail before 6,000 hours? will survive at least 12,000 hours? (c) Only 1 percent of all fans’ lifetimes will exceed which...
FULL SCREEN PRINTER VERSION BACK NEXT Question 14 The time to failure (in hours) for a...
FULL SCREEN PRINTER VERSION BACK NEXT Question 14 The time to failure (in hours) for a laser in a cytometry machine is modeled by an exponential distribution with 1 0 .00004. Round the answers to 3 decimal places. (a) What is the probability that the laser will last at least 20028 hours? (b) What is the probability that the laser will last at most 30375 hours? (c) What is the probability that the laser will last between 20028 and 30375...
The compressive strength of samples of cement can be modeled by a normal distribution with a mean of 6000 kilograms per...
The compressive strength of samples of cement can be modeled by a normal distribution with a mean of 6000 kilograms per square centimeter and a standar deviation of 100 kilograms per square centimeter c) what strength is exceeded by 95% of the samples? The life of a semiconductor laser at a constant power is normally distributed with a mean of 7000 hours and a standar deviation of 600 hours a) what is the probability that a laser fails before 5000...
Question 3 (20 marks) iven a sample of time-to-failure (X), in hours, of a particular brand of we...
Question 3 (20 marks) iven a sample of time-to-failure (X), in hours, of a particular brand of weaving machines: 100 250 720 465 910 2017 1600 1300 nypothesis that the failure time follows an exponential distribution with mean 1000 (hours). Conduct the Kolmogorov-Smirnov test, at 1% level of significance, for testing the [9 marks] the context of the validation process in simulation, write short notes on the "Input- [4 marks] output Transformation". (c) Consider a queueing system with interarrival rate...
Statistics - Please help! Thanks. 5. Let X be the random variable that describes the measurements...
Statistics - Please help! Thanks.
5. Let X be the random variable that describes the measurements of the diameter of Venus. We know that X is normally distributed with mean u = 7848 miles and standard deviation o = 310 miles. What is (a) P(x < 7000) (b) P(8000< x < 8100) (c) Verify your answers using R. 6. Assume the life of a roller bearing follows a Weibull distribution with parameters ß = 2 and 8 = 7,500 hours....
Question 14 (1 point) Suppose that the time-to-failure of a system has a distribution with the...
Question 14 (1 point) Suppose that the time-to-failure of a system has a distribution with the following pdf: f(x)=0.1e-0.lx What is the probability that the failure occurs between 5 and 20? [hint: similar to Question 1. Homework 7] a). 0.23 b). 0.47 c). 0.088d). O Your answer Question 15 (1 point) The diameter of a metal shaft used in a disk-drive unit is normally distributed with mean 0.25 in. and std. dev. 0.0005 in. The specification on the shaft have...
Given the probability density function , determine the mean and variance of the distribution. Round the...
Given the probability density function , determine the mean and
variance of the distribution. Round the answers to the nearest
integer. The pdf is 0 for x<0.
4.8.2 Your answer is partially correct. Try again. Given the probability density function f(x)- The pdf is 0 for x<0. nction f(x) = 0048/e-004r determine the mean and variance of the distribution. Round the answers to the nearest integer Г (8) Mean 200 Variance = Statistical Tables and Charts LINK TO TEXT Question...
QUESTION 8 1 poir The probability density function of the time it takes a hematology cell...
QUESTION 8 1 poir The probability density function of the time it takes a hematology cell counter to complete a test on a blood sample is f(x)=0.04 for 57<x<82 seconds. Round your answers to 2 decimal places. (a) What proportion of tests require more than 70 seconds to complete? (b) What proportion of tests require less than one minute to complete? (c) Determine the mean and variance of the time to complete a test on a sample. Mean- seconds Variance...
The time to failure (in hours) of fans in a personal computer can be modeled by an exponential distribution with A= VUUS. Round your answers to 4 decimal places. (a) What proportion of fans will last at least 8000 hours? (b) What proportion of fans will last at most 7000 hours?
FULL SCREEN PRINTER VERSION BACK NEXT Question 14 The time to failure (in hours) for a laser in a cytometry machine is modeled by an exponential distribution with 1 0 .00004. Round the answers to 3 decimal places. (a) What is the probability that the laser will last at least 20028 hours? (b) What is the probability that the laser will last at most 30375 hours? (c) What is the probability that the laser will last between 20028 and 30375...
Question 3 (20 marks) iven a sample of time-to-failure (X), in hours, of a particular brand of weaving machines: 100 250 720 465 910 2017 1600 1300 nypothesis that the failure time follows an exponential distribution with mean 1000 (hours). Conduct the Kolmogorov-Smirnov test, at 1% level of significance, for testing the [9 marks] the context of the validation process in simulation, write short notes on the "Input- [4 marks] output Transformation". (c) Consider a queueing system with interarrival rate...
Statistics - Please help! Thanks.
5. Let X be the random variable that describes the measurements of the diameter of Venus. We know that X is normally distributed with mean u = 7848 miles and standard deviation o = 310 miles. What is (a) P(x < 7000) (b) P(8000< x < 8100) (c) Verify your answers using R. 6. Assume the life of a roller bearing follows a Weibull distribution with parameters ß = 2 and 8 = 7,500 hours....
Question 14 (1 point) Suppose that the time-to-failure of a system has a distribution with the following pdf: f(x)=0.1e-0.lx What is the probability that the failure occurs between 5 and 20? [hint: similar to Question 1. Homework 7] a). 0.23 b). 0.47 c). 0.088d). O Your answer Question 15 (1 point) The diameter of a metal shaft used in a disk-drive unit is normally distributed with mean 0.25 in. and std. dev. 0.0005 in. The specification on the shaft have...
Given the probability density function , determine the mean and
variance of the distribution. Round the answers to the nearest
integer. The pdf is 0 for x<0.
4.8.2 Your answer is partially correct. Try again. Given the probability density function f(x)- The pdf is 0 for x<0. nction f(x) = 0048/e-004r determine the mean and variance of the distribution. Round the answers to the nearest integer Г (8) Mean 200 Variance = Statistical Tables and Charts LINK TO TEXT Question...
QUESTION 8 1 poir The probability density function of the time it takes a hematology cell counter to complete a test on a blood sample is f(x)=0.04 for 57<x<82 seconds. Round your answers to 2 decimal places. (a) What proportion of tests require more than 70 seconds to complete? (b) What proportion of tests require less than one minute to complete? (c) Determine the mean and variance of the time to complete a test on a sample. Mean- seconds Variance...
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