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Question 6 The diameter of a particle of contamination (in micrometers) is modeled with the probability...
f X = for X > The diameter of a particle of contamination in micrometers) is...
f X = for X > The diameter of a particle of contamination in micrometers) is modeled with the probability density function places) (a) P(X <7) (b) P(X > 10) Determine the following (round all of your answers to 3 decimal P7X11) (d) P(X 7 or X > 11) (e) Determine X such that P(X x) = 0.99
Information for Problems 7 - 10: The diameter, x (in micrometers), of a particle of contamination...
Information for Problems 7 - 10: The diameter, x (in micrometers), of a particle of contamination has the following probability density function (pdf): f(x)-C(e0.3*) for x 22 7. Find the value of C that makes this a legitimate probability density function. (3 points) 8. Find the cumulative distribution function, F(x). (4 points) 9. Find PCX s 3) and P(X 2 3). (4 points) 10. Find x such that P(X x) 0.10. (4 points)
1) The probability density function of the diameter (in micrometers) of a particular type of contaminant...
1) The probability density function of the diameter (in micrometers) of a particular type of contaminant particle can be modeled by f(x) = (x3 Exp(-x/2)]/96, x 20 a) Plot the pdf and the CDF of these diameters b) Compute E(Diameter) y Var(Diameter) c) Compute Pr(Diameter > 4), Pr(Diameter > 8), and Pr(Diameter > 12), d) Assume that the following random sample of 100 diameters of these particles has been taken. What is the probability that sample average if greater than...
An important factor in solid missile fuel is the particle size distribution. Significant problems occur if...
An important factor in solid missile fuel is the particle size distribution. Significant problems occur if the particle sizes are too large. From production data in the past, it has been determined that the particle size (in micrometers) distribution is characterized by the following function. f(x) = 3x-4, x>1 10, elsewhere (a) Verify that this is a valid density function. (b) Evaluate F(x). (c) What is the probability that a random particle from the manufactured fuel exceeds 9 micrometers? (a)...
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...
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...
2. A small spherical particle (diameter = 75x10-6 m) is falling through air from a high...
2. A small spherical particle (diameter = 75x10-6 m) is falling through air from a high elevation. Density of air is 0.85 kg/m3 and viscosity is 1.47 x 10-5 kg/m.s. Density of particle is 1,500 kg/m3. Determine the terminal velocity of the particle. (10%)
Help please Assignment Assignment> open Assignment ASSIGNMENT R 3.4 Problem 3.059 dPractice Reading Incorrect An Dom...
Help please
Assignment Assignment> open Assignment ASSIGNMENT R 3.4 Problem 3.059 dPractice Reading Incorrect An Dom The following function is probability mass function. f (x) teview Score Determine the mean, μ, and variance, σ, of the random variable. Enter the exact answers (as fractions if necessary) Oblective Moble Site Statistical Tables and Charts Click if you would like to Show Work fer this questien Qn Shom Weck Question Attempts: 1 of 3 used SAVE FOR LATER SUBMIT ANSWER Assignment Assignment>...
Assignment Assignment open Assignment Problem 3.051 Problem 3,039 Preblem 3.045 The following function is cumulative distribution...
Assignment Assignment open Assignment Problem 3.051 Problem 3,039 Preblem 3.045 The following function is cumulative distribution function. F(X)-0.75 35x55 -5sx< 35 Review Score Review Results by Stuew Obiectiv Moble Site Determine the requested probabilities. Round your answers to two decimal places (e.g. 98.76) P(X S 45) P(X <0) Stitatta Tabies and Charts Click if you would lske to Show Work for this question peShow W Question Attempts: O of 3 used SAVE FOR LATER SUBMIT ANSWER
Question 4 (14 points) Particles are a major component of air pollution in many areas. It...
Question 4 (14 points) Particles are a major component of air pollution in many areas. It is of interest to study the sizes of contaminating particles. Let X represent the diameter, in micrometers, of a randomly chosen particle. Assume that in a certain area, the probability density function of X is inversely proportional to the volume of the particle; that is, assume that r 21 where c is a constant. a. Find the value of c so that f(x) is...
f X = for X > The diameter of a particle of contamination in micrometers) is modeled with the probability density function places) (a) P(X <7) (b) P(X > 10) Determine the following (round all of your answers to 3 decimal P7X11) (d) P(X 7 or X > 11) (e) Determine X such that P(X x) = 0.99
Information for Problems 7 - 10: The diameter, x (in micrometers), of a particle of contamination has the following probability density function (pdf): f(x)-C(e0.3*) for x 22 7. Find the value of C that makes this a legitimate probability density function. (3 points) 8. Find the cumulative distribution function, F(x). (4 points) 9. Find PCX s 3) and P(X 2 3). (4 points) 10. Find x such that P(X x) 0.10. (4 points)
1) The probability density function of the diameter (in micrometers) of a particular type of contaminant particle can be modeled by f(x) = (x3 Exp(-x/2)]/96, x 20 a) Plot the pdf and the CDF of these diameters b) Compute E(Diameter) y Var(Diameter) c) Compute Pr(Diameter > 4), Pr(Diameter > 8), and Pr(Diameter > 12), d) Assume that the following random sample of 100 diameters of these particles has been taken. What is the probability that sample average if greater than...
An important factor in solid missile fuel is the particle size distribution. Significant problems occur if the particle sizes are too large. From production data in the past, it has been determined that the particle size (in micrometers) distribution is characterized by the following function. f(x) = 3x-4, x>1 10, elsewhere (a) Verify that this is a valid density function. (b) Evaluate F(x). (c) What is the probability that a random particle from the manufactured fuel exceeds 9 micrometers? (a)...
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...
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...
2. A small spherical particle (diameter = 75x10-6 m) is falling through air from a high elevation. Density of air is 0.85 kg/m3 and viscosity is 1.47 x 10-5 kg/m.s. Density of particle is 1,500 kg/m3. Determine the terminal velocity of the particle. (10%)
Help please
Assignment Assignment> open Assignment ASSIGNMENT R 3.4 Problem 3.059 dPractice Reading Incorrect An Dom The following function is probability mass function. f (x) teview Score Determine the mean, μ, and variance, σ, of the random variable. Enter the exact answers (as fractions if necessary) Oblective Moble Site Statistical Tables and Charts Click if you would like to Show Work fer this questien Qn Shom Weck Question Attempts: 1 of 3 used SAVE FOR LATER SUBMIT ANSWER Assignment Assignment>...
Assignment Assignment open Assignment Problem 3.051 Problem 3,039 Preblem 3.045 The following function is cumulative distribution function. F(X)-0.75 35x55 -5sx< 35 Review Score Review Results by Stuew Obiectiv Moble Site Determine the requested probabilities. Round your answers to two decimal places (e.g. 98.76) P(X S 45) P(X <0) Stitatta Tabies and Charts Click if you would lske to Show Work for this question peShow W Question Attempts: O of 3 used SAVE FOR LATER SUBMIT ANSWER
Question 4 (14 points) Particles are a major component of air pollution in many areas. It is of interest to study the sizes of contaminating particles. Let X represent the diameter, in micrometers, of a randomly chosen particle. Assume that in a certain area, the probability density function of X is inversely proportional to the volume of the particle; that is, assume that r 21 where c is a constant. a. Find the value of c so that f(x) is...
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