Assume that the life (X) of an airbag system follows a Weibull distribution with B=0.5 and...
The life of a semiconductor laser at a constant power can be modeled by a Weibull distribution with a mean of 7000 hours and a standard deviation of 600 hours. (a) What is the probability that a laser fails before 5800 hours? (b) What is the life in hours that 90% of the lasers exceed? (c) What should the mean life equal in order for 99% of the lasers to exceed 10,000 hours before failure? (d) A product contains three...
The life of a computer processing unit (CPU) is modelled by a Weibull distribution with parameters β = 3 hours and δ = 900 hours. a. What is the proportion that the CPU fails before 500 hours? b. What is the proportion that the CPU fails between 500 hours and 600 hours? What is the hour that separates the top 25% of long-lasting CPUs?
Suppose that X has a Weibull distribution with B = 0.5 and 8 = 100 hours. Determine the following. Round the answers to 3 decimal places. (a) P(X < 10000) = (b) P(X > 5000) =
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...
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?
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 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)...
Expected Life The expected life of blue whales follows a distribution with mean 75 and standard deviation 7. If 120 blue whales records are extracted find the probability that the sample mean life is between 72 and 76. (respuesta en decimales, 4 cifras) Numerical Answer
3.48. The nulliber of flaws in a disk follows a Poisson distribution with the mean 0.5, Π 5 disks are selected independently, what is the probability that none of the disks have flaws? What is the probability that all 5 have a total of 2 flaws? The total of at least 2 flaws?
Question 3 If X follows a Bernoulli distribution with p=0.5 and Y|X = x follows a Gamma distribution with parameters [x+3,3], what is the probability Y>1 given that X = 0?