If random variable X has a uniform distribution. Show that its mean (mu) is equa

Question

If random variable X has a uniform distribution. Show that its mean (mu) is equal to and its variance equal to If the shear strength (in pounds) of a spot weld has a Weibull distributed random variable, X Tilde Wei (400,2. 0.66), Find, P(X > 410) E(X) and Var(X) If a population has a set of {2, 4, 6, 8} numbers and a sample size of two is drawn (a) with replacement and (b) without replacement, find, a) List of sample sets for both (a) and (b). b) Population mean (mu) and standard deviation (sigma) Sampling distribution table to find the sample mean and sample standard distribution sigma

Explanation / Answer

E(x)=.66(1+1/2)
      =.66(3/2)
      =.66*1.5=.99
V(x)=.66^2{(1+2/.5)-(1+1/.5)^2
      =.4356(5-9)
      =-1.7424

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