20 30 40 50 1 10 100 e*

Q: Find from C= -00 to x =

A: In this question, we solve the improper integral. we used the substitution and spacial integral…

Q: Find n, where (x²+ ax+)² o(x"). Hint: expand (x*+ax+J

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Q: 3.S(1 + e2x)5e2x dx

A: Note: As per the company policy we are supposed to solve only one question, so kindly repost…

Q: Ex If 3=Nメ+J文 3-(x「x)文 find ý (de)

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Q: Find simpler expressions for the quantities in Exercise

A: Use the relation between exponential function and logarithmic function a.) 2 ln e 2 ln e = 2 ln e12…

Q: Calculate the first three moments E [(X-µ)^n] where X~N (µ, σ²) and n≥1 are integers.

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Q: Find h'(2) if h(x) = In(x + Vx? – 1).

A: The given function is hx=lnx+x2-1. Evaluate the derivative of the given function as follows.…

Q: Find e if Z.! -2-2i

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Q: b) Show that XNOT =

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Q: An automobile service facility specializing in engine tune-ups knows that 50% of all tune-ups are…

A: Given: 50% of all tune-ups are done on four-cylinder automobiles. 20% on six-cylinder automobiles…

Q: Find xand test whether the two attributes are independent. Let a = 0.05. Attributes Az Total A3 215…

A: Given: α=0.05.

Q: EX if AS X, find A' for (X S)

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Q: Show in detail that E [(X-µ)^n] = 0 for ∀n , where X~N (µ, σ²) and n≥3.

A: It is an important part of statistics. It is widely used.

Q: art J K

A: j) the mode of the data is 11.5 and it is repeated 15 times in the data

Q: Let X b(n,-) and E(x) = E(2– 6x) find n.

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Q: the

A: If A and B are independent events,then,   P(A∩B)=P(A)⋅P(B)

Q: Which of the following represents the greatest value O 0.50 13 of $1.00 20 O 65% of $1.00 O 35% of…

A: option 1 : 0.50=0.50 option 2 : 13/20 of $1.00=$0.65 option 3 : 65% of $1.00…

Q: Find a number a + 5 such that S" (1 – æ) dæ = 0

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Q: Evaluate the following expressions without using a calculator. (a) In e2 In (b) e (v7) (c) In(Ve')…

A: From the given problem: a)   ln1e2   As we know that :   loga1x=-logax     Therefore…

Q: Show that when |+ 1|<1, = =1+E(n+1)(=+1)"

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Q: Differentiate. x ujX = A 2 In x O (In x)2 x U -x u No new data to save. O00 F5 000 F4 F2 F3

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Q: Let c be a  positive integer, then (e^c+1)≥e^c for all c.T/F

A: Given that c is positive integer and we have to check whether the given inequality is true or not.…

Q: L[y''''] L[f"'''']

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Q: Open intereval (0, a)rettan as {x ER/S bx > a } {x ER /x a }

A: given a statement

Q: Compute the indicated quantity. P(A) = 0.2, P(B) = 0.5. A and B are independent. Find P(B | A). P(B…

A: Given P(A)=0.2 and P(B)=0.5It's also given that A and B are independent therefore P(A∩B)=P(A).P(B)We…

Q: Let a be a constant. Given that 3x In(ax)dr = e18 ( 36 -89 , find In a. 3

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Q: 3. Let E = (0,1}. TRUE or FALSE (with explanation): (01) = 0'1. %3D

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Q: Expand and simplify the expression: (x² + e-2x In (e*+1) ex

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Q: The Euler's phi function Ø (108) is equal to:- а. 42 b. 20 с. 36 d. 18

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Q: Find the antideviVative 2+x € ) =

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Q: find a re: 1ons.

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Q: If torque T = N-cm, express in N-m

A: We know that  1 m = 100 cm  So , 1 cm = 1 /100 m  = 0.01 m

Q: Show that E(r(r + 1) =- n(n + 1)(n + 2), n E N.

A: We have to show that ∑r=1n(r(r+1))=13n(n+1)(n+2)           ∀n∈ℕ

Q: For any natural number m, evaluate 1/m +x")( 3m 2m 2m +x 2x +3x" +6)"* dx, x > 0. m X

A: Topic:- Integration

Q: Find the value of c such that E enc = 4 n = 0 3 1n 4 C =

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Q: (c) Deduce that Rn - A < D-a [f(b) – f(a)].

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Q: Compute the indicated quantity. P(A) = 0.3, P(B) = 0.5. A and B are independent. Find P(B | A). P(B…

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Q: Suppose P(Ej|E2) = 0.46, P(E2|E1) = 0.92, and P(Ej) × P(E2) =0.15. Determine P(E2), giving your…

A: Conditional probability formula : P(A | B) = P(A n B) /P(B)

Q: Evaluate the following 17 dæ J 10x(In(x))5

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Q: Compute the indicated quantity. P(A) = 0.3, P(B) = 0.7. A and B are independent. Find P(B | A). P(B…

A: It is given that A and B are independent.

Q: (d) Compute V(X) (in GB²) using the shortcut formula. (Enter your answer to four decimal places.)…

A: Given data is x 1 2 4 8 16 P(x) 0.05 0.15 0.25 0.45 0.10

Q: Compute the indicated quantity. P(A n B) = P(A) = 0.7, P(B) = 0.1. A and B are independent. Find P(A…

A: From the provided information, P (A) = 0.7, P (B) = 0.1 A and B are independent.

Q: Compute the indicated quantity. P(A) = 0.3, P(B) = 0.3. A and B are independent. Find P(A N B). P(AN…

A: Property : if A and B are two independent events with probability P(A) ,P(B) then P(A∩B) = P(A) .…

Q: Let X- B(25,0.2). E(X²) =

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Q: find do if yot' and both de and h = X

A: We will find the derivative.

Q: ne order suc e of [det(A²I

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Q: Use the properties of E(X) to prove that E(aX +b) = a E(X) + b.

A: For a random variable X, the expectation of X is defined as E(X).

Q: re + e Show that 1. 2

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Q: Find x E {0, 1, ... , 12} for which 1010 = T in Z13.

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Q: If X~B(20,0.3), Obtain E(X) and Var(X).

A: