(8) Let X-b(n, p), with E(X) = 6 and var(X) = 4.2, then P(X ≤ 6) = 0.608.

Q: (8) Let X-b(n,p), with E(X) = 6 and var (X) = 4.2, then P(X ≤ 6) = 0.608.

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Q: For f(x) = 2-x4/3 + x, use the 2nd- Deriv. Test to find any local max or min

A: to find local max or min.

Q: :1 S* d(x³). 3

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Q: Let f(x)=6√x−8x for x>0. Find the critical numbers

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Q: Determine the global extreme values of the f(x, y) = 9x - 4y if y ≥ x - 5, y ≥ -x - 5, y ≤ 7. (Use…

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Q: Prove that Var(E(Y|X)) ≤ Var(Y)

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Q: The function f(x) - 4x³ +7.56x² + 366.2004x + 7.99 is increasing on the open interval ( = It is…

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Q: 12. Let f be the function f(x)={ x² - 3bx+2; x2 For what value of b is f continuous at x = 2 ? (A) 0…

A: To find For what values of b is f is continuous at x=2.

Q: Let f(x) = In(5æ² - 4x + 9) f'(x) =

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Q: 3. Assume that X is a discrete random variable with moment generating function 3 M(t) = 1a t <…

A: We want to find E(X) and V(X)

Q: Show that E( X - K )2 = var( X) + [E(X) - K]2

A: var(X)=E(X2)-E(X)2 E(a)=a  where a is constant (a-b)2=a2-2ab+b2

Q: Find the range of f(x) = 23 e*+3

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Q: Let_f(x)=(x-1)², g(x)=x², and E= {x:-8≤x≤8}. Find the inverse image (goƒ)¯¹(E).

A: The given functions  and .The aim is to find the inverse image of .

Q: Let (a,m) 1 with m>1 and let f = expm (a). Then

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