Question

Problem 2(35pts)[Related to 5-114 on p.196 of the book] An automotive mechanical assembly is composed of four parts. Let the act of measuring the weights (oz.) of these parts be denoted as x-(x, x that the four component random variables are mutually independent, and normally μ 40 55 100 80 distributed with the means and standard deviations given in the table at the right. Recall the following important facts: FACT 1: E(ax +bY) -aE(X)+bE(Y). FACT 2: If X and Y are independent, then Var(aX+br)-aVar(X)+b VarY) These facts can be written using Greek symbols as: FACT 1: A4x+,-a14 +bu, . FACT 2: IfX and r are independent, then ơarw" a% + be σ0.4 0.5 0.2 0.5 x, Find r and ơw (a)(5pts) Let the act of measuring the total weight of an assembly be W- Solution TW 17. Find-and- (b(5pts) For a randonn sample of eight assemblies, let Solution

a and b please

Answer 1