(a) Show that the mgf of X is (b) Find E(X) and Var(X). Mx (t): [if t‡0, if t = 0

Q: Q1/100 college students were surveyed and asked how many hours a week the spent studying the results…

A: Given that                   We have to find the probability that a student spent between 5 and 10…

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A: Given data

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A: Graph of the function

Q: = f(x) = (4x – 2)(x² – 3). F %3D

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Q: Suppose f: R → R is a function such that for all x, y ≤ R, f(x + y) = f(x) + f(y) and f(xy) =…

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Q: Find y as a function of t if with y(0) 9, /(0) = 5. y A 10000-81y=0

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Q: Let (P, C, K, E, D) be a cryptosystem such that #K = #P = #C. Show that if this cryptosystem has…

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Q: Let f(x) = = a) 9x +4 following. Simplify if possible. f(x) = f(a) a - X = . Evaluate the 4 A' for x…

A: The given function fx=x9x+4. We have to simplify the expression fx-fax-a and find the value of A.

Q: .e- P(x)= %3D 1. Let and let =10. Find P(9)

A: Find the value of P(x) at x=9

Q: Calculate L6 for f(x) = V9x + 3 over [1,3]. (Give your answer to three decimal places.)

A: Find the approximation L6 for the function fx=9x+3 over [1,3].

Q: Calculate M6 for f(x) = 5 · In(æ³) over [1, 2].

A: Given:   f(x)=5.ln(x3) over [1,3]

Q: For a given function f(x), the divided -differences table is given by: flxo) = a flx) -b Xa = 1 1 1…

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Q: f(x ) = x2 g(x) = [ x/21 Select the correct value for f• g(- 3/2). O a.-1 O b.0 Ос. 1 O d. 3

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Q: Calculate L6 for f(x) = v9x + I over [1,3]. (Give your answer to three decimal places.)

A: NOTE: Refresh your page if you can't see any equations. . and the given interval is

Q: For the PMF Px(x) = { 2 0 x = 1,3, otherwise. calculate E[2x].

A: The PMF of X is given as,

Q: For what values of x is the function f(x)=x4−2x2 strictly increasing?

A: