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.
Suppose that the random variable X has a Weibull distribution with parameters a = 2.98 and...
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.
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.
The probability density function for a Weibull random variable with positive parameters and KS x>0 (a) Find expressions for the population mean, median, and mode. (Hint: they might not all be closed-form.) (b) Find parameter values associated with the following three cases: the population me- dian and mode of the distribution are equal; the population mean and median of the distribution are equal; the population mean and mode of the distribution are equal. The probability density function for a Weibull...
3. Let X1, X2, ..., X, be a random sample from the Weibull distribution with parameters B, 7> O and - < a < oo as shown in your table of distributions. Find the distribution for X (1) = min{X1, X2, ...,Xn}, the minimum value of the sample. (Name it!) (Hint: For help with finding the cdf, see Problem 2 on HW 1.)
1) Suppose that X ∼ N(0,1) find: P(X<=1.36) Round your answer to the nearest thousandth. 2) Suppose that X ∼ N(0,1) find: P(|X-0.9|>=1.35) Round your answer to the nearest thousandth. 3)Suppose that X ∼ B(8, 0.25). Calculate p(X=1) Round your answer to the nearest thousandth. 4) Suppose that X ∼ B(10, 0.23). Calculate P(X ≥ 7) Round your answer to the nearest thousandth. 5)Suppose that X ∼ U(-5, 10). Find the P(-2 ≤ X ≤ 5) Round your answer to...
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 >...
Question 3 Suppose that the random variable X has the Poisson distribution, with P (X0) 0.4. (a) Calculate the probability P (X <3) (b) Calculate the probability P (X-0| X <3) (c) Prove that Y X+1 does not have the Polsson distribution, by calculating P (Y0) Question 4 The random variable X is uniformly distributed on the interval (0, 2) and Y is exponentially distrib- uted with parameter λ (expected value 1 /2). Find the value of λ such that...
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.
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.