Find pmf of X in question 3
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- f(x)=1/5 x^5 - 8/3 x^3 +16xwhat are the critical points?A national consumers’ association determines that x years after its founding in 1998, it will have P(x) members, where P(x) = 2x3 - 45x2 + 264x in hundreds. a). When was the membership the largest between 2000 and 2013, that is, 2 < t < 15? b). When was the membership the smallest between 2000 and 2013, that is, 2 < t < 15?Suppose the function f(x)=3x^4+ax^3+bx^2 has a critical point at x=2, for whichf(2)= −80. Determine a, and b.
- Let p=(12-2x)^2 for 0≤x≤3 be the price at which x hundred units of a certain commodity will be sold, and let R(x)=xp(x) be the revenue obtained from the sale of the x units. For what level of production is revenue maximized?Do you agree with the contention that the gunctions f(x) = x + 2 and g(x) = x2 - 4 ÷ x - 2 are the same in every respect provide evidence to support your positionLet X1 and X2 have the joint PMF f(x1,x2) = x1x2/36 for x1 = 1,2,3 and x2 = 1,2,3. Find the PMF of Y = X1X2.
- In ΔFGH, FH‾FH is extended through point H to point I, m∠FGH=(x−2)∘m∠FGH=(x−2)∘, m∠GHI=(4x−5)∘m∠GHI=(4x−5)∘, and m∠HFG=(x+19)∘m∠HFG=(x+19)∘. Find m∠HFG.m∠HFG.A manufacturing company employs two devices to inspect output for quality controlpurposes. The first device can accurately detect 99.2% of the defective items it receives, whereasthe second is able to do so in 99.5% of the cases. Assume that five defective items are producedand sent out for inspection. Let X and Y denote the number of items that will be identified asdefective by inspecting devices 1 and 2, respectively. Assume that the devices are independent.Find: a. f Y|2(y) b. E(Y│X=2)= and V(Y│X=2)=Use the branch and bound method to find the optimal solution to the IP: max z= 7x1 + 3x2 s.t. 2x1 + x2 <= 9 3x1 + 2x2 <= 13 x1,x2 >= 0; x1,x2 integer
