The lifetime of bacteria follows the Weibull distribution. The probability that the bacteria lives for more...
The lifetime of bacteria follows the Weibull distribution. The probability that the bacteria lives for more than 10 hours is 0.7 and that it lives more than 20 hours is 0.3. The probability that among 300 bacteria more than 200 live longer than 10 hours can be computed as P(Z>a). What is the value of a?
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The lifetime of bacteria follows the Weibull distribution. The
probability that the bacteria lives for more...
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 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 of a product can be modeled with a Weibull distribution with δ = 22...
The lifetime of a product can be modeled with a Weibull distribution with δ = 22 and β = 3. a. What is the expected lifetime of the product? b. What is the standard deviation of the product? c. The product costs $15,543 dollars to produce, but is expected to save $1,115 in costs for each year that it functions as advertised. Considering the initial cost, what is the expected savings in costs for this product? d. What is the...
The lifetime of a product can be modeled with a Weibull distribution with δ = 22 and β = 3. a. Wh...
The lifetime of a product can be modeled with a Weibull distribution with δ = 22 and β = 3. a. What is the expected lifetime of the product? b. What is the standard deviation of the product? c. The product costs $15,543 dollars to produce, but is expected to save $1,115 in costs for each year that it functions as advertised. Considering the initial cost, what is the expected savings in costs for this product? d. What is the...
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)...
Assume that the life (X) of an airbag system follows a Weibull distribution with B=0.5 and...
Assume that the life (X) of an airbag system follows a Weibull distribution with B=0.5 and the mean life (p) is 200 months. Weibull Distribution (pdf): 2 f(2) B 8 -G for r20 (a) What is the probability that an airbag system lasts at least 200 months? (b) What is the probability that an airbag system fails between 120 months and 150 months?
The lifetime of a device (in hours) has the Gam(4,0.01) distribution. a) Find the probability that...
The lifetime of a device (in hours) has the Gam(4,0.01) distribution. a) Find the probability that the device will last more than 300 hurs. b) what is the 90th percentile of this distribution?
A light bulb (the lifetime is assumed to follow an exponential distribution) has a mean life...
A light bulb (the lifetime is assumed to follow an exponential distribution) has a mean life of 400 hours. What is the probability of the bulb lasting 1) less than 300 hours; 2) more than 500 hours; 3) between 200 and 500 hours?
Problem 4. The lifetime of a certain battery follows a normal distribution with a mean of...
Problem 4. The lifetime of a certain battery follows a normal distribution with a mean of 276 and standard deviation of 20 minutes. (a) What proportion of the batteries have a lifetime more than 270 minutes? (b) Find the 90th percentile of the lifetime of these batteries. (c) We took a random sample of 100 batteries. What is the probability that the sample mean of lifetimes will be less than 270 minutes?
An article proposes the Weibull distribution with a 1.817 and B 0.883 as a model for...
An article proposes the Weibull distribution with a 1.817 and B 0.883 as a model for 1-hour significant wave height (m) at a certain site. (a) What is the probability that wave height is at most 0.5 m? (Round your answer to four decimal places.) (b) What is the probability that wave height exceeds its mean value by more than one standard deviation? (Round your answer to four decimal places.) (c) What is the median of the wave-height distribution? (Round...
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)...
Assume that the life (X) of an airbag system follows a Weibull distribution with B=0.5 and the mean life (p) is 200 months. Weibull Distribution (pdf): 2 f(2) B 8 -G for r20 (a) What is the probability that an airbag system lasts at least 200 months? (b) What is the probability that an airbag system fails between 120 months and 150 months?
Problem 4. The lifetime of a certain battery follows a normal distribution with a mean of 276 and standard deviation of 20 minutes. (a) What proportion of the batteries have a lifetime more than 270 minutes? (b) Find the 90th percentile of the lifetime of these batteries. (c) We took a random sample of 100 batteries. What is the probability that the sample mean of lifetimes will be less than 270 minutes?
An article proposes the Weibull distribution with a 1.817 and B 0.883 as a model for 1-hour significant wave height (m) at a certain site. (a) What is the probability that wave height is at most 0.5 m? (Round your answer to four decimal places.) (b) What is the probability that wave height exceeds its mean value by more than one standard deviation? (Round your answer to four decimal places.) (c) What is the median of the wave-height distribution? (Round...
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