Hence, option (A) is the correct answer.
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Incorrect Question 8 0/5 pts Consider the following clause: {P(a,x,h(g(z))), P(z,h(y),h(y))} After unification the following clause...
Incorrect Question 7 0/5 pts Which of the following proposition is true? (A) The clause {P(a,x,f(g(y))), P(z,f(z),f(u))} is unifiable and the set MGU = {[z/a], [x/f(a)], [u/g(y)]} is the most general unifier for it. (B) The clause (P(f(a),g(x)), P(7.7)} is not unifiable. (C) The clause {P(a,x), P(z,f(z))} is unifiable and the set MGU {[z/a], [x/f(a)]) is the most general unifier for it. (D) All of the above. (A (B) (C) (D)
Incorrect Question 5 0/5 pts S3 = [y/g(h(a,b))] Consider the following substitutions: S1 = [y/f(a,g(h(a,b)))] S2 = [x/f(a,y)] Which are legal ground substitutions? (A) S1 and S3 (B) S2 and 53 (C) S1 and 52 (D) All of above mentioned (A) (B) (C) (D)
Incorrect Question 11 0/5 pts Consider the following resolution process: Resolution Process: 5.-R(a.y) -R(y,a) v R(aa) 3, with [x/a) [z/a) Original Set of Clauses: 6.-R(a,y) -R(ya) resolve 1 and 5 1. -R(aa) 7. Raf(a)) 2 with [x/a) 2. R(x.f(x)) 8. R(a,f(a)) --R(f(a),a) 6 with [y/f(a)] 3. -R(X.X) -R(Y.Z) ROX.) 9. R(f(a),a) resolve 7 and 8 4. -R(X.) R(x,x) 10.-R(af(a)) R(f(a),a) 4 with [x/a) [y/a) 11. -R(a,f(a)) resolve 9 and 10 12. Raf(a)) 2 with [x/a) 13. Empty Clause 11, 12...
12. Let g(x), h(y) and p(z) be functions and define f(x, y, z) = g(x)h(y)p(2). Let R= = {(x, y, z) E R3: a < x <b,c sy <d, eszsf} where a, b, c, d, e and f are constants. Prove the following result SS1, 5100,2)AV = L*()dx ["Mwdy ['Plzdz.
4 pts Question 47 8, find the Z-score corresponding to each of the following X For a population with a h = 40 and o = values: a. X-42; b. X-52; c. X=36; d. X-32 HTML Editor A population of scores with a u = 43 and o = 8 is standardized to create a new population distribution with a fi = 50 and o = 10. What is the new X value for each of the following scores from...
Incorrect Question 10 0/5 pts Which of the following proposition is false? (A) To prove that a formula F in First-Order Logic (FOL) is a valid formula, is sufficient to prove that the formula -F is a contradiction. (B) To prove that a logical consequence F=G where F and G are formulas in FOL is valid, is sufficient to prove that the formula FA-G is a contradiction. (C) The SAT-problem in First Order Logic is a NP-complete problem. (D) Let...
11. Point P(4,2,3) is on one of the level surfaces of g(x, y, z) = e*+4xy”. Write an equation of the plane tangent to this surface at point P. a)5(x-4) - 7(y-2) + 6(2-3) = 0 b)-8(x-4)+12(y-2) - 5(2-3) = 0 c)9(x-4) + 4(y-2) - 5(2-3) - 0 d)16(x-4) + 64(y-2)+(2-3) -0 e) none of these
QUESTION 62 Consider the following code: void Pancake(int x, int& y, int z); void Waffle(int& x, int& y); int Doughnut(int y, int z); int main( ) { int a = 1; int b = 2; int c = 3; int d = 4; Pancake(a, b, c); Waffle(b, c); Pancake(d, c, b); d = Doughnut(b, a); return 0; } void Pancake(int x, int& y, int z) { y += 3; ...
D Question 3 10 pts The joint pdf of X, Y, and Z is given by f(x,y,z) = 8xyez for 0sxcys 1, z>0 (0 otherwise) What is the joint pdf of U=X/Y and V = Y? O g (u, u) = 8uu for 0 < u-u-1 (-0 otherunse) O g(u,) foru 1 0v1 (0 otherwise) O g (u, u) 4uv for 0 < u < 1; 0 < u < 1 ( 0 otherwise) O g (u, v) = 8uv2...
81. Consider the function g(x, y) given by, 1 1.52.53 11/4 0 0 0 2 0 1/8 0 0 y 3 0 1/4 0 0 4 0 0 1/4 0 5 00 0 1/8 and complete / determine the following: (a) Show that g(x, y) satisfies the properties of a joint pmf. (See Table in ?6.0.1.) (b) P(X < 2.5,Y < 3) (c) P(X < 2.5) (d) P(Y < 3) (e) P(X> 1.8, Y> 4.7) (f) E[X], EY], Var(X), Var(Y)...