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Question 4 Lifetime of a certain component can be represented by 2 parameter Weibull distribution with...
28 An experimenter knows that the distribution of the lifetime of a certain component is negative...
28 An experimenter knows that the distribution of the lifetime of a certain component is negative exponentially distributed with mean 1/0. On the basis of a random sample of size n of lifetimes he wants to estimate the median lifetime. Find both the maximum-likelihood and uniformly minimum-variance unbiased estimator of the median.
The lifetime of a brake can be modeled as a Weibull Distribution with a ƛ of...
The lifetime of a brake can be modeled as a Weibull Distribution with a ƛ of 1 per 50000 miles. The probability that a brake lasts longer than 30000 miles is 0.8. Find the value of parameter a
Suppose that the lifetime of a component (in hours), X, is modeled with a Weibull distribution...
Suppose that the lifetime of a component (in hours), X, is modeled with a Weibull distribution with B 0.5 and = 3400. Determine the following in parts (a) and (b) Round your answers to three decimal places (e.g. 98.765) a) P(X> 3500) = i b) P(X> 6000|X > 3000) i c) Suppose that X has an exponential distribution with mean equal to 3400. Determine the following probability Round your answer to three decimal places (e.g. 98.765) P(X 6000X > 3000)...
Suppose that the lifetime of a component (in hours), X is modelled with a Weibull distribution...
Suppose that the lifetime of a component (in hours), X is modelled with a Weibull distribution with a = 0.6. and λ = 1/4000. Determine the value for P(X > 5,961 | X > 3500) i.e Probability of X > 5,961 given tha X is greater than 3500. Please enter the answer to 3 decimal places.
The lifetime X (in hundreds of hours) of a certain type of vacuum tube has a Weibull distribution with parameters α = 2 and β = 3
The lifetime X (in hundreds of hours) of a certain type of vacuum tube has a Weibull distribution with parameters α = 2 and β = 3. Compute the following.
The lifetime X (in hundreds of hours) of a certain type of vacuum tube has a Weibull distribution with parameters α = 2 and β = 3.
The lifetime X (in hundreds of hours) of a certain type of vacuum tube has a Weibull distribution with parameters α = 2 and β = 3.Compute the following. (Round your answers to three decimal places.)
4. A lifetime X of an animal (counted in hours) has a Poisson distribution with parameter...
4. A lifetime X of an animal (counted in hours) has a Poisson distribution with parameter 4. The animal hunts during some part of its life, which is described by the following Bernoulli distribution: if X = k, then the ())'(£)*=0,1,2,. . . ,k. number Y of hours spent on hunting has the distribution (3 p.) Find the distribution of Y (7 p.) Suppose that the animal hunted for exactly 12 hours during its life; what is the most probable...
6) The lifetime battery life of a laptop can be modeled as a Weibull variable with parameter λ = 1 per 10 years and parameter a-1.35 a) What is the probability that a laptop will last between 5 and 1...
6) The lifetime battery life of a laptop can be modeled as a Weibull variable with parameter λ = 1 per 10 years and parameter a-1.35 a) What is the probability that a laptop will last between 5 and 10 years? b) A merchant sold 40 laptops on a day with a guarantee that any laptop lasting less than 5 years will be replaced by another laptop with a 28% discount. What is the probability that the merchant has to...
4. Show the PDF and CDF of two-parameters of Weibull distribution (1) Use MATLAB to plot...
4. Show the PDF and CDF of two-parameters of Weibull distribution (1) Use MATLAB to plot three Weibull PDFS with the parameters (a) 7 = 100,B = 1.25 ; (b) 100, B 4 and (c) 10,B 1.25 (2) For the Weibull distribution with the distribution parameter 7 = 20, B =1.5, calculate its = mean and standard deviation (3) For the Weibull distribution with the distribution parameter ) = 20, B =1.5, calculate the probabilities: PCX<80), PCX<40), P(10<X<90)
4. Show...
2) The lifetime in years of a certain type of electronic component has a probability density...
2) The lifetime in years of a certain type of electronic component has a probability density function given by: otherwise a) If the expected value of the random variable is 3/5 i.e. E(X)-3/5, find a and b. b) Show that the median lifetime is approximately 0.6501 years.
28 An experimenter knows that the distribution of the lifetime of a certain component is negative exponentially distributed with mean 1/0. On the basis of a random sample of size n of lifetimes he wants to estimate the median lifetime. Find both the maximum-likelihood and uniformly minimum-variance unbiased estimator of the median.
Suppose that the lifetime of a component (in hours), X, is modeled with a Weibull distribution with B 0.5 and = 3400. Determine the following in parts (a) and (b) Round your answers to three decimal places (e.g. 98.765) a) P(X> 3500) = i b) P(X> 6000|X > 3000) i c) Suppose that X has an exponential distribution with mean equal to 3400. Determine the following probability Round your answer to three decimal places (e.g. 98.765) P(X 6000X > 3000)...
4. A lifetime X of an animal (counted in hours) has a Poisson distribution with parameter 4. The animal hunts during some part of its life, which is described by the following Bernoulli distribution: if X = k, then the ())'(£)*=0,1,2,. . . ,k. number Y of hours spent on hunting has the distribution (3 p.) Find the distribution of Y (7 p.) Suppose that the animal hunted for exactly 12 hours during its life; what is the most probable...
6) The lifetime battery life of a laptop can be modeled as a Weibull variable with parameter λ = 1 per 10 years and parameter a-1.35 a) What is the probability that a laptop will last between 5 and 10 years? b) A merchant sold 40 laptops on a day with a guarantee that any laptop lasting less than 5 years will be replaced by another laptop with a 28% discount. What is the probability that the merchant has to...
4. Show the PDF and CDF of two-parameters of Weibull distribution (1) Use MATLAB to plot three Weibull PDFS with the parameters (a) 7 = 100,B = 1.25 ; (b) 100, B 4 and (c) 10,B 1.25 (2) For the Weibull distribution with the distribution parameter 7 = 20, B =1.5, calculate its = mean and standard deviation (3) For the Weibull distribution with the distribution parameter ) = 20, B =1.5, calculate the probabilities: PCX<80), PCX<40), P(10<X<90)
4. Show...
2) The lifetime in years of a certain type of electronic component has a probability density function given by: otherwise a) If the expected value of the random variable is 3/5 i.e. E(X)-3/5, find a and b. b) Show that the median lifetime is approximately 0.6501 years.
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