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Suppose that X has a Weibull distribution with B = 0.5 and 8 = 100 hours....
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 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.Compute the following. (Round your answers to three decimal places.)
Q6: Suppose that X has a Weibull distribution with β=2 and δ=8.6. a. Find the mean and the variance b. Determine the following: (a) P(X< 10) (b) P (X> 9) (c) P (8<x<11) (d) Value for x such that P(X>x) = 0.9
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?
Suppose that the random variable X has a Weibull distribution with parameters a = 2.98 and λ = 0.23. Find P(3 ≤ X ≤ 7). Round your answer to the nearest ten thousandth.
Consider a random variable X that has the Weibull distribution, and suppose that the parameter a is equal to 0.5 and the parameter 1 is equal to 4. True or False: X has a increasing failure rate.
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...
An article proposes the Weibull distribution with a at a certain site 1.897 and B 0.813 as a model for 1-hour significant wave height (m) (a) What is the probability that wave height is at most 0.5 m? (Round your answer to four decimal places.) 0.3281 (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?...
Suppose that the random variable X has a Weibull distribution with parameters a = 3.68 and λ = 0.21. Find the upper quartile of the distribution. Round your answer to the nearest ten thousandth.