Roll a fair die n many times. Let X; be the number of times face i appears, for i = 1,2, ..., 6. (1) Find E(X2 | X1 = 0). (2) Find E(X2 | X1 > 0).

Q: meª (In x)-5 Find: What is the behaviour of y as →→ ∞ ? Given: Y- ▬▬▬ Oy -∞ Oy →∞ Onone of the above…

A: Please see the below picture for detailed solution.

Q: (1) So E 00 e-x dx let t=x

A: We evaluate given integral using gamma function

Q: 4 A pond has N fish. John caught 100 fish, tagged them, and relea mem back to the pond. He then…

A: From the given information, A pond has N fish. John caught 100 fish, tagged them and released them…

Q: The function f(x) = (2x – 9)e' -2 has one critical number. Find it. X =

A: See the details solution in below

Q: slane using GraphiI Hethod Max Z=3X+2k2 2X + Xe loo X+X+ 80 Onpt-

A: first we will draw the feasible region bounded by the constraints. then comparing the value of…

Q: Q 3. A random sample X, X2, .., Xa is drawn from a population with pdf f(x,@) = (1+ 0 x), -1<x <1,…

A: Consistency: Let Tn be a sequence of estimators such that for all  θ∈H  ETn→γθ ; n→∞VTn→0 as n→∞…

Q: (In (ev) + e-V): d Let a be a real valued constant. Then True False

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Q: Evaluating a Function In Exercises 31–34, completethe table.

A: Function: 31. f(x)=-x2+5f(-2)=-(-2)2+5 f(-2)=1f(-1)=-(-1)2+5…

Q: 3. A machine has n components, the lifetimes of which are independent. However the whole machine…

A: Since you have asked multiple question, according to our guidelines we will solve the first question…

Q: 62. a. Show that e>1+x for x > 0.

A: We will answer the first question only as those all are different and we don't answer multiple…

Q: 4. Solve for k s.t. the function is continuous 9 – x2 f(x) = x # -3 x +3

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Q: dx 1. Evaluate e x(In x)3

A: We’ll answer the first question that is question (1) since the exact one wasn’t specified. Please…

Q: 1. If the graph of y = f(x) contains the point (0,2), and f(x) > 0 for all x, then f(x) = dx (a)…

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Q: x2 -3 if a < -1 2. Determine the constant k such that the function J (") =kV5+x if x 2-1 kV5+x if x…

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Q: 4/5elue f(X)= X'-2X- 5 Using Secant methed, Cerreet apto 2decimal elases.

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Q: If iz' +:-:+i = 0, then show that E=1.

A: iz3+z2−z+i=0   ⟹iz3+i2z+z2+i=0   ⟹iz(z2+i)+(z2+i)=0   ⟹(z2+i)(iz+1)=0   ⟹(z2+i) i (z−i)=0   ⇒z2=−i…

Q: Ouestion 19 } Prone Thnt f(z) is continue ous then T(O)d! ] dw.

A: Consider the provided question, We have to prove that,

Q: Find E (X) and E(X²) and using these values evaluate E[(2X + 1)²]

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Q: (1) A course repeater claims that his brother who did some Calculus at college years ago, hut…

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Q: 6* = 214 a. Find x in exact form: x = b. Approximate x, correct to at least 3 decimal places: x =

A: Given equation

Q: Activity 3: A vehicle accelerates from rest, and the time it takes to reach the speed v, is given by…

A: Given function is: t=∫0vfdv5−2v0.22 To determine the time t when vf = 50m/s using the Midpoint rule…

Q: (1-nt if 0 <t<n=1, if n-1<t<1. fn(t) =

A: Consider the usual metric space on X=ℝ. ℝ with usual metric space is a complete metric space.

Q: Example: Use both the standard and modified Newton-Raphson methods to evaluate the multiple root of…

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Q: The function f(x) Find it. X = = (4x4)e5 has one critical number.

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Q: -3 Let A = 4 Find etA and use it to solve ' = A with initial conditions x(0) = |. -2

A: We find etA first and then use it we find the solution of x'=Ax

Q: 1. Let X1,..., Xn be independent, X; ~ exp(A¡). a. Show that Y = min(X1,..., Xn) is also exponential…

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Q: var 3X+2)-432 a) Find a and 9 If the random variable X has Gamma (@) .such that E(X-2)-10 and 5)…

A: We are given the following information as follows   X ~ Gamma (α,θ) and E(X-2)=10; and Var(3X+2)=432…

Q: iid Let X,.X(4,0²). Consider the following estimator ofu 5(X2 + ..+ X-1), 1 +,Xn. Then var(i) 7(n -…

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Q: Find the value or values of c that satisfy the equationƒ(b) - ƒ(a)/b - a = ƒ'(c)in the conclusion of…

A: We have fx=lnx-1 ,   2,4 Since, fx is differentiable on 2,4 and continuous on 2,4. Thus, both…

Q: 2- S5olve X" = LX given u =1

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Q: The function f(x)=E(x - k} attains minimum value for x, k=1 then x =

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Q: Find values of C1 and C2 so that the given functions will satisfy the p

A: Given: y(x)=C1e2x+C2ex+2sin xy(0)=0y'(0)=1

Q: х-1 Find the minimum and maximum values of the function y = on the interval [1,7] by comparing…

A: From the given function: y=x-1x2+15x And x,y→1,7   First, we have to calculate the critical points,…

Q: *x-x' +x* -x' and |x|<0.2. 1+x Find the upper bound on the error if

A: Given : x1+x2≈x-x3+x5-x7 and x≤0.2 To find : upper bound on the error of the given Maclaurin series…

Q: Зх-4 (5) Let f(x) x E [-2,2], find the absolute maximum and minimum x²+1 values of f(x).

A: We will find out the required value.

Q: 5. (NO CALCULATOR - Show All Steps) Find the linear approximation of the function f (x) = e- at x =…

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Q: False-Position Method Find the root of f(x)=(x– 4)° (x +2)=0, using the initial guesses of x, = -2.5…

A: To find - Find the root of fx = x - 42x + 2 = 0, using the initial guesses of xL = -2.5 and xU =…

Q: Let g(æ) = 1+. If po in the fixed-point iteration of g, then p1 is equal to Select one: 3 5 O b. О…

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Q: This question has several parts that must be completed sequentially. If you skip a part of the…

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Q: The logistic function given by f(x)=1/(1+e^-x) is a bijection, whose domain is R and range is (0,1).…

A: Given: f:R→0,1, such thatfx=11+e−x f(x)  is bijective function, that means inverse of f(x) exist…

Q: Find the linearization of y : at x = 16. (Use symbolic notation and fractions where needed.)

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Q: 1) F(s) =- s +s Ans. f(1)=1-e"

A: We will answer the first question since exact one was not specified. Please resubmit the question…

Q: (a) Give the linearization L(x) of f(x) at x = 2. (b) Use your answer from Part (a) to estimate the…

A: Solve the following

Q: If  y = tan-1( k x) + tanh-1( k x)  and  (1 - 256 x4 ) = A Then A +k =..........

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Q: x* +2 has a unique fixed point in 0,1 and find an approximation to 9 2. Show that g(x) = the point…

A: Fixed point: A fixed point of a function g:[a, b]→[a, b] is a real number p such that g(p)=p.…

Q: Find X(Z) if X(K)=(¹) K=1,3,5,7 This means that its value is an odd number X(Z) = EoX(K)Z-k Let…

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Q: The inequality sec x > 1 + (x²/2) holds on (–7/2, 7/2). Use it to find a lower bound for the value…

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