Suppose a distribution has a Weibull distribution where ?(t) = 2t. Find w such that P(W > w) = 1/e.
Suppose a distribution has a Weibull distribution where ?(t) = 2t. Find w such that P(W...
Suppose a distribution has a weibull distribution where lamda(t)= 3t^2. Find w such P(W>=w) = 1/e^8.
For the Weibull distribution with parameters a and ), recall that for t > 0 the density function and distribution function are, respectively, f(t) = alºja-1e-(At)a F(t) = 1-e-(at)a Suppose that T has the Weibull distribution with parameters a = 1/2 and 1=9. (a) (4 points) Compute exactly P(1 < T < 1.01|T > 1). Show your work. Write your answer to 6 decimal places.
For the Weibull distribution with parameters a and \, recall that for t > 0 the density function and distribution function are, respectively, f(t) = alºja-1e-(At)a F(t) =1-e-(At)a Suppose that T has the Weibull distribution with parameters a = 1/2 and 1 = 9. an (4 points) Compute work. approximation of P(1 < T < 1.01 T > 1) using the hazard rate. Show y
5. For the Weibull distribution with parameters a and X, recall that for t> 0 the density function and distribution function are, respectively, f(t) = 410-1-(At) F(t) = 1 -e-(1)" Suppose that T has the Weibull distribution with parameters a = 1/2 and X = 9. (a) (4 points) Compute exactly P(1 <1 < 1.017 > 1). Show your work. Write your answer to 6 decimal places. (b) (4 points) Compute an approximation of P(1 <T < 1.01 T >...
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.
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
Suppose that the random variable X has a Weibull distribution with parameters a = 4.54 and λ = 0.12. Find the value of X so that F(X)=0.23 where F is the cumulative distribution function. Round your answer to the nearest ten thousandth.
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.
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) =
1. The Weibull distribution has many applications in reliability engineering, survival analysis, and general insurance. function Let p> 0, δ > 0. Consider the probability density x>0 zero otherwise. Find the probability distribution of w-x6 a) Determine the probability distribution of W by finding the c.d.f. of W, Fw(w). Find the cd.f. of X, Fx(x) = P(X x). “Hint', 1: u-substitution: u "Hint" 2: There is no such thing as a negative cumulative distribution function "Hint" 3: Should be Fx(0)-0,...