(a) P(X₁> 1) = P(X2 < 2) (b) Cov(X1, X2) = 0. (c) E(X₁ · X2) = E(X1) · E(X2) (d) P(X₁ > 0) = P(X2 > 0) (e) E ([×1-¹]²) = E ([×2−2]²)
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Let X_1 ∼ N (1, 1) and X_2 ∼ N (2, 4) be two
![(a) P(X₁> 1) = P(X2 < 2)
(b) Cov(X1, X2) = 0.
(c) E(X₁ · X2) = E(X1) · E(X2)
(d) P(X₁ > 0) = P(X2 > 0)
(e) E ([×1-¹]²) = E ([×2−2]²)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6035f1a2-2c03-490a-9469-88f7b64e730f%2F0707359a-ce8d-488e-8fa7-ce168547ffc3%2Fexbeb5k_processed.png&w=3840&q=75)
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- If f(x) = x*e*, then f"(x) = A 12x?ex B e(x4 + 4x³) © e*(x4 + 4x3 + 12x?) D ex(x4 + 8x3 + 12x²)Evaluate each composite value If f(x) = 3x-5 and g(x) = x', find (fog)3) If f(x)=-9x-9 and g(x) = Vx-9, find (fog)10) If f(x)=-4x+2 and g(x) =v 8, find (fog)12) If /(x)= 3x+4 and g(x) –x find (gof] _2) 1. 2. 3. 5. If f(x) =-2x +1 and g(x)=Vr -5, find (g f)2)If y= (x³ + 1)* , then y' = ? A None of the given choices B (3x2)2 © 2(x³ + 1) D 6x²(x³+ 1) E 2(3x2 + 1) E
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