5. Let X have the pdf {(x + 1) -1

Q: 5. Find the equation of the normal line to the graph of f (x) =7-3x-x at x= 1

A: Given that f(x)=7-3x-x2We plug it in the given…

Q: 5. let X1 and X2 have the joint pdf f(x1, x2) = x1 + conditional mean and variance of X2 given X1 =…

A: *Answer:

Q: 2 Find the slope of the Normal Line to the curve y = X at (4, 2).

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Q: Determine the equation of the normal line to f(x) = x³3.5¯³x at x = -1.

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Q: Suppose f(x) = 0.125x for 0 < x < 4. determine the mean and variance of X. Round your answers to 3…

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Q: • If the joint PDF of X and Y is shown as follows: fx,x(x, y) = e-(x+y) Find the following: 12) The…

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Q: What is the slope of the normal line to the curve y= In(x +1) at x= 17 A 2 B) -1/2 1/2 -2

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Q: Suppose f(x) = 0.125x for 0 < x < 4. determine the mean and variance of X. Round your answers to 3…

A: Given f(x)=0.125x for 0&lt;x&lt;4  We have to determine the mean and variance of X

Q: Prove that the mean and variance are obtainable from RX(t)= ln(MX(t)): MEAN=E(X)=Rx'(0),…

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Q: If E(X) = 6 and E[(X) (X-1) ] = 51, find the second moment= 1 and the variance of X= 2

A: Given Data: E(X)=6 E[(X) (X-1)]=51

Q: If E(X) = 6 and E[(X)(X-1)] = 51,  a) find the second moment  b) find the variance of X Please…

A: Here we need to find the second moment and the variance.

Q: for 1 < x < 3 f(x) = otherwise. Calculate the standard deviation of X , giving your answer to two…

A: The mean of the function,   Substitute the values in the above equation.

Q: 5 Find the mean and variance of Y =x (1) - dt теаn %3D

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Q: Suppose that X is a continuous unknown all of whose values are between -3 and 3 and whose PDF,…

A: Find the constant c: The value of the constant c is obtained as 1/36 from the calculation given…

Q: 2. Find the equation of the normal line to the graph of y = x(1+ In x) at x = e. Write your answer…

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Q: Find the equation of the normal line of the function. f(x) 2(x- 4)2 at (2.8)

A: The given equation of curve is: f(x)=2(x-4)2 and the point 2,8.

Q: Let's say p a real function p by: P(x) = ;e-w, x E R a. Calculate the variance of X

A: given the probability density function; p(x)=12e-|x|,   x∈R

Q: Suppose f(x) = 0.20 for 0 <x < 5. Determine the mean and variance of X.

A: The objective is to find mean and variance

Q: a variance of 0.27. Test the company's claim at a = 0.05. n241

A: Given: The provided sample variance is s2 =0.27 and the sample size is given by n = 41. The…

Q: Suppose that f (x) = 0.125x for 0 < x < 4 %3D Determine the mean and the variance of X.

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Q: The following table shows data on X= pressure of extracted gas (microns) and Y= extraction time…

A: Given information: Given data represents the values of the independent variable X = pressure of…

Q: (1) Let X = b(16,) find E(4-3x) and distribution function.

A: From the provided information, X~b (16, 1/4) Sample size (n) = 16 Probability (p) = 1/4

Q: 2.) Find the Equation Of the normal line to the wrue y= 3x-2x +1 at P( 1,2)

A: Topic = Derivative

Q: 0, a) What is the marginal distribution of Z2. b) Find P(Z2 <)

A: here given joint probability density function of z1 and z2

Q: (1) Let X b(16, find E(4-3x) and distribution function.

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Q: Find the mean value if y 1+x² between x-0 and x-1

A: We have o find the mean value of the function :  y=11+x2 between x=0 ,x=1

Q: i) Find the marginal distribution of X₁. ii) Find E(X₁X₂).

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Q: 5) f(x) = 3x³ – 2x + 5,x = -2

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Q: Let X have the pdf f(x)=120; 25<x<45. Find the cdf of X and hence P(X227). What are the mean and…

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Q: (47) Let X b(8, -) find E(5+6x) and distribution function.

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Q: Q. 4 The pdf of the age-of babies, x years, being brought to a clinic is given by /(x) =D글제(2-x);…

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Q: Let X1 and X2 have the joint pdf f(x1,x2) = x1+x2, 0 < x1 <1 and 0< x2< 1. Find the conditional mean…

A: It is given in the question that X1 and X2 are two random variables having joint probability density…

Q: A) | kx 0 1 B) Obtain the 25th percentile and the 75th percentile of the distribution.

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Q: If y = Va- el(1-z²), then the slope of the normal line to the graph of y at a = 1 is Answer:

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Q: 2. Find the equation of the normal line to the graph of y = x²(1+ In.x) at x = e. Write your answer…

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Q: let x has the p.d.f (2xe-v2x 0<x< 00 O. W f(x) = By m.g.f find the mean and variance of the…

A: Moment Generating Function (m.g.f.): Let X be a random variable with probability function…

Q: Suppose X 1s a discrete variable that has the following pr function (pdf) f(X) 1 0.40 2 0.20 3 0.15…

A: Solution: Let X be the discrete random variable  The probability density function of X is  x f(x)…

Q: (48) Let X = b(16,- find E(4– 3x) and distribution function.

A: Given, X~b(16,1/4) That is X follows binomial distribution with n=16 and p=1/4.

Q: (c) We want to test if there is a (positive) reduction in annual gas consumption provided by the…

A: For testing the assumed claim that two population means (i.e., "the true mean annual gas consumption…

Q: Q3/A/ Let X be a r.v with p.d.f f(x) = e-ll - co <x<0, then the value of variance of X is -

A: Given : X is a random variable with PDF             fx=12e-x , -∞&lt;x&lt;∞ To find : Variance of X

Q: 1. Let X be an RV with PDF a. Find the mean of X. b. Find the variance of X. f(x) = {¹ -=| - |x| for…

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Q: (1) Let X = b(16, find E(4-3x) and distribution function.

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: Suppose that the length X of the life (in years) of a battery for a computer has a distribution that…

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Q: Q2 find the mean and variance of the following distribution .f(x)= 6x(1-x) , 0<x<1 Also find P (µ ·…

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Q: 4. At what point on the y-axis will the normal line at x = 1 of the function f(x) = vx intersect?

A: Note: As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Given pdf f (x) = 1.5x2  for −1< x < 1. Determine variance of X.

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Q: For the relation 3Y= 12-6X between X and Y; if standard deviation of X, 0 = 10 and mean of Y values,…

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Q: The x² distributions take on A) positive B) negative C) positive and negative values.

A: In this case, we need to find the correct option for the given statement.

Q: Q/ 35 let x has the p.d.f f(x) = 2xe v2* 0<x< 0 0.W By m.g.f find the mean and variance of the…

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Q: Let f(x, y) = x + y for 0 < x < 1 and 0 < y < 1 The Conditional Variance of Y when X = ; is

A: From the given information, the joint density function for X  and Y is,