(C(2x+y), 0≤x≤2, 0≤ y ≤3 otherwise b) Iff (x, y) = ) = {C(²x+y); 0, i) find the value of C and ii) find P[X≥ 1, Y≤2].
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- The probability that the majority of a three person jury will convict a guiltyperson is given by the formula P (x, y, z) = xy(1 − z) + (1 − x)yz + (1 − y)xz + xyz subject to constraint x + y + z = α, where x, y, z represents each jury members’probability of reaching a guilty verdict and α is some constant that is generallyless than or equal to the number of jurors. Find the values of x, y and z thatmaximizes the probability of convicting a guilty person when α = 0.75Indicate whether the statement is true or false. Given that r || s and transversal t, ∠2 and ∠5 are supplementary.Find r and h that minimize S subject to the constraint V = 54n.