Show that if X ∼ Geom (p) then P(X = n + k | X > n) = P(X=k)  for n, k≥1.

Q: is continuous at x=3, f (-1) =6 ? + a, x # 3 3b, x 3 ontinuous at x=2? - x > 0

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Q: Let f (x, y) = 1 5+√x²+y²-1 Then range of f is:

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Q: 1 Find Vf if f = 2 /x²+y² +z?

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Q: b. Маx z %3DX1 + X2 s.t. 2x1 + x2 < 20 X1 +3x2 < 15 X2 < 4 X1, X2 2 0

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Q: Let Z∼N(0,1). Find P(-2<Z<1).

A: From the provided information,Z~N (0, 1)The probability P (-2&lt;Z&lt;1) need to be calculated.

Q: The Range of y = [2x + 1] is Z, T O F

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Q: If X~t(10) then the p(x < 2.28)

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Q: frx) = Ty-x the domain of suppose What is

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Q: f(x+h)-f(x) 2. Evaluate h If a. G) f(Vx) b.

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Q: P(x) = 1. Let x! and let H=10, Find P(9)

A: To find: P(9)

Q: TF x and y are orthon ormal rectors then Pind Value of Ilx+y12 - ||x-Y2

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Q: 9. Solve In (x+5) 2 2. O A. (x | x 2 12.3891} B. (x | x 2 2.3891} O C. (x |xs 12.3891} O D. {x |x s…

A: Given:         ln(x+5)≥2

Q: Which graph corresponds to the function given? h(x) = {x², x 1

A: Here we have to draw the graph of the function.

Q: Find the range of the function f(x) = x2-1 O [-2,21 R\[-1] R\{0}

A: Range of function

Q: - (10 points) Show |a – b| < |a| + [b| Va,b eR.

A: We have to show that  a-b≤a+b      ∀a, b∈ℝ

Q: Prove that if x+y=%30 then y=-x

A: See the attachment

Q: 4. Let f(x) = g(x) = x -5, k-(10) +7 = 10 and h (x) = find: ther b. Domain of h(x). c. (hof)(2). (Z…

A: (NOTE:   As nothing is mentioned, so all functions are taken as real valued functions.)

Q: Soluti 03 16. A 11 22 1 Let Ax- b be a linear svstem of n eauations in n unknowns, and assume that A

A: Given: A = 03-2114225, b = 75-2  and Ax = b To find: The value of matrix x.

Q: what values of k will

A: Given,              f(x, y)=(x+iy)2+x-ikyx+iy

Q: t Fspidldentir Quiz Unt 4 Qui2 + Lowery A1tiorr ent List-1/ endcs instructure com O Piece of the…

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Q: I'm lost on question b. for a I got the cdf was 0 for x &lt; 2 2(x+(1/(x-1))-3) for 2  &lt;= x &lt;=…

A: The (100p)th percentile is denoted as η(p) and defined as follows:

Q: 5) Given f(x) = V1 -x² , the range is: a) O (-∞; -1] b) O [-1, 1] c) O All real numbers d) O [[0,…

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Q: 7. Solve for x: {x: xER, x<1}N{x: xER, x20}

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Q: 3.) if f(x)= akw f(x) = x-1 and (X) X-1 What is the valule of

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Q: Determine the interval of convergence for € (-1)" n! (x-5)" ΑΞΟ 34

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Q: Find​ p(x) for x=​0,​1, 2,​ 3, 4, 5.

A: Answer:- Given, The formula for probability distribution of X is,

Q: lex. min. {g, (x), g₂ (x)} 9₁ (x): -2x1 - x₂ ≥ 9 92 (x): X₁ X1 - 2x₂ ≥ 10 st. 2x1 + 5x2 ≤ 16 6x₁ +…

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Q: 10. Let Is f convex, concave, or neither? ƒ(x1, x2) = x² − I1X₂ + x² + 3x₁ − 2x₂ +1 (71; 72) € R². -

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Q: 2. If f (x) = 3x3 + 2, find a number c between a = -1 and b 2 such that | F(x)dx = f(c)(b – a) A. -…

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