Suppose X has a normal distribtution N(2,1), then E(X)= Var(X)=

Q: Let f(x) = 6x/(x³ – 7). Evaluate the following specific values of f': (A) f'(1) = (B) f'(5) =

A: Given the function

Q: if y= x/lnx then find y`

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Q: dx Suppose 10 = x + y' and both y = f(x) and x = g(t). If = 2 when x = 1 and y = 3, %3D dy when x =1…

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Q: Differentiate the function In e* 8.) y = ex 7.) f(x) = e** – In :

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Q: 7 Find the most general function F such that F'(): - 5V?.

A:

Q: Suppose f(x) = x² In(x). then f"(e) equals

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Q: Let f(x) = t° dt. Evaluate the following. f'(x) = f'(5)

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Q: Suppose that P(A)=0, P(C|A) =0.006, and P(C'|A')=0.0055 Find P(A∣C).

A: GivenP(A)=0P(C|A)=0.006P(C'|A')=0.0055

Q: Let ø be a C' function, and suppose 00 $(x) = >, b,Un(x)., ø"(x) = ), cnUn(x). %3D n=1 =1 Express…

A: Here in the question it is give that ϕ is a C1 function .  Consider the given function as follow:…

Q: Let {X} be i.i.d. such that X₁~ Pa(4, 1500) and suppose that N(2) ~ Po(100). Find E[S(4)] and…

A: Given that  be iid. such that  and

Q: Show that the vector in B4 is orthogonal to the vectors in B1, and that the vector in B2 is…

A:

Q: Suppose F(x) is between 4 and 8 for x in [3,12]. What is the largest that · 12 L" F (x) dx can be?

A: given that function F(x) between 4 and 8 for x in [3, 12] we have to find the largest value of…

Q: f(x) = ex/³; [1₁3]

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Q: Suppose that P(A) = 0.47, P(C | A) = 0.007, and P(C' | A') = 0.0105. Find P(A L C).

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Q: Let 7(t) = Find 7'(t) F'(t) =

A: The objective is to find the derivative of given

Q: k should be 3/8. But, what is the probability that the lecture ends within 1 min of the end of the

A: By the property , the total probability density function is equal to one.