3) For the function f(x)= for 0

Q: 1) Given f(x, y) = x derivative of f? which of the following is Əyox the mixed second order par f

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Q: 10 Which one is equal to f f(x, y)dr ? O Conditional pdf of Y given X = x with support x > y > 0 %3D…

A: For the given statement

Q: The equation of tangent line of the function 21 x3 f(x) = e7e dt %3D 21 x at x=1 is V21 e3087 (x-1)…

A: Given function is  f(x)=∫21x21x3e7t2dt Since at x=1, upper limit of the integral is equal to lower…

Q: X has the uniform distribution [0,1] Put Y=2x + 5.  If f(x) is the pdf of Y then f(x) = ?

A: Here, X follows uniform (0, 1). Consider Y=2x+5. The cdf of Y, as follows:

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Q: Find the derivative of y with respect to x. 1 y=x' In (x)---x obra d we do O A. 7x5-x² OB. 8x5-x2…

A:

Q: 3. Let X be the amount of an insurance claim which has following pdf: Kx? (4 -x), 0 <x < 2 (x) %3D…

A: f(x)=Kx2(4-x) ,      0&lt;x&lt;20,            otherwise

Q: Determine the value of b to make the PDF below valid given that a=1and c=2. Note that the PDF…

A: #Given: pdf of exponential distribution  f(x)=b*e^-c(x-a)  if a=1 , c=2  then to find value of a ?

Q: If X has an ex ponential (A) PDF, what is the PDF of W = X² ?

A: 4. Given information: The random variable X has exponential distribution with . The probability…

Q: 20 of 21 What is the average rate of change of y with respect to x over the interval -5, –2] for the…

A: The given function is y=3x+2 over an interval -5,-2. We have to find the average rate of change of y…

Q: QIFind the derivative of the function f(z, k) = z* – 16k + tanh(z) – 4 csc(k) in terms of z and k ?

A: Dear student  Here is the solution of your query

Q: The pdf of a continuous RVX is given by f(x) = 3x²,where 0 < c < 1. o2 =

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Q: 2) Find a value of C for J(X) Is a pdf oh the Ih ated Interval. 08 f (х) — сх + х?, [0. 1]

A: Given f(x) is a pdf on the indicated interval. f(x) = cx + x², [0.1]

Q: Find of the fo lloming function the derivative Tin C A y'= (Sinsc) oc Sin 6-1 Sinac +Inx cos scl +…

A:

Q: 3. Find the equation of the normal line to the curve f(x) = 6e2* cos x at the point (0,6).

A: Given: fx=6e2xcosx; 0,6 We know that for finding equation of normal at given point, we need to find…

Q: 5: Let f(x) := H(x) cos x, with 1, x> 0 0, x< 0. H(x) := Define the distribution T, by (Tf, ø) := L…

A: given fx=Hxcosxwhere Hx=1,   x&gt;00,   x&lt;0 also distribution Tf define by Tfϕ=∫ℝfxϕxdx for any…

Q: 2 Find the average value of the function f(x) = x cos X COs -

A:

Q: Suppose that X1,..., Xn are i.i.d. following pdf given by f(x; 0) = že-5, where both x and O are in…

A:

Q: Find the average rate of change of f(x) = x2 + 3x + 1from 1 to 2. Use this result to find the…

A: Average rate of change of a function f(x) is calculated as the total change in the function divided…

Q: 1. Let fx(x) denote the PDF of X, evaluate fy(y), the PDF of Y = --X – 6, in terms of fx(x).

A: Given problem is :

Q: The pdf of a continuous RV X is given by f(x) = 3x², where () < x < 1. The median Q2 of X equals

A: Given :-   fx = 3x2                      0&lt;x&lt;1we have to calculate the median   now ,…

Q: 5) y>10 (3v-1) (1+5w)

A:

Q: 1. Let X-Uniform(0,1). Find the PDF of Y=-2ln(X).

A: Let, X~Uniform(0,1) Then probability distribution function of X is f(x)=1                ; 0≤x≤1…

Q: . Compute the central difference approximations of O (h^4) for the first derivative of y = cos(x) +…

A:

Q: Let f (x) = for 1 < x < 5 be a pdf. Find c. Round to three decimal places as needed.

A: Assume that X is a continuous random variable with probability function f(x).

Q: Determine the RMS Value of y=root x over the range of x=0 and x=1

A: We have to find the rms value of the given function over the given interval.     This problem can be…

Q: For what value of k is f (x, y) = ke-(x+ y ) a joint pdf of (X, Y) over the region 0 £ x £ 1; 0 £ y…

A: We have given that the joint probability density function of (X, Y) is, f(x, y) = ke-(x+y) ,…

Q: Suppose that y is a differentiable function of x and w = sin(y2). Express the derivative of w with…

A:

Q: Let X and Y have the joint pdf f(x, y) = (1 – xy), 0 < x < 1, 0 < y < 1. %3D Find E(X). Please round…

A: We want to find E(x)= ?

Q: Find the derivative of the function f(z,k) = z^4— 16k^3+ tanh(z) — 4 csc(k) in terms of z and k ?

A:

Q: Let X be a continuous rv with the pdf: f (x) = 0 otherwise (a) Find constant c so that that X is a…

A: Solution: 7. From the given information, the probability density function of X is

Q: The expected or mean value of a continuous rv X with pdf f (x) is Mx = E(X) X·f(x) dx %D Is this…

A:

Q: Suppose ƒ is differentiable on (- ∞, ∞), ƒ(1) = 2, and ƒ'(1) = 3.Find the linear approximation to ƒ…

A: Given that,  Function f is differentiable on (−∞,∞), f(1)=2, and f'(1)=3. The linearization of f at…

Q: 2. Show that the function psin(2r) e-*dt g(x) = is differentiable on R and compute its derivative.

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Q: Find the derivative y = e* In x In x ex E + e* In x O None of these

A: Use product rule:-

Q: The pdf of a continuous RV X is given by f(x) = cos(Ax)+ 10, where x E [0, -1. Find the value 2A of…

A: Given density function of the random variable X is, f(x)=cos(Ax)+10, x∈0,π2A The value of A is…

Q: Suppose that X is a continuous unknown with -2 < S2 with PDF denoted f satisfying $ (2) = c (4 –…

A: i) we know that the total probability should be one means the area under the PDF should be one.…

Q: Compute the derivative of g(x) = cos(t²) dt. O 42 sin(z*) O cos(x*) -42 sin(z*) O 4a cos(a) O -…

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Q: Find the average value of the function over the given interval f(x)= cosx ; [0, π/2]

A:

Q: 3. Find the derivative of f(x, y, z) = z2 + ye" at (In 2, 2, 1/2) in the direction in which the…

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Q: The function f has a continuous derivative. If f (0) = 1, f (2) = 5, and f (x) dz 7, what is %3D %3D…

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Q: a. What is the joint marginal PDF of X and Z? b. What is [P 0 <= Y <= 3/2 | X = 1/3 Z = 5/2]?

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Q: 2. find the derivative of the function g(x, y, z) = 3e* cos yz,at the point in the direction of A =…

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Q: Suppose that X and Y have joint density given by: f (x, y) = 15x²y, 0 < x < y < 1. (a) Find the…

A:

Q: 2. Show the marginal pdf of X and Y. 3. Find P(X > 1/2, Y < 1).

A: Given X and Y be jointly continuous random variables with joint PDF is given by:  fX,Yx, y=k1+x2yI0,…

Q: What is the derivative of f(z) = (z³ –- (z – 1)º)*? %3D

A: Given function is f(x) = (x3 - (x-1)3)3

Q: If f(x, y) = 1/(xy), the marginal pdf of X is (log x)/y. TRUE or FALSE ?

A:

Q: 3. For the pdf f(x)=1/(3-0) 0<x<3 OSX<3 Find the MLE for 0

A: From the given information, the pdf is f(x)=13-θ, θ≤x≤3. Let us consider n random variables…

Q: 2″ Given f(x) = xr-¹e-λx, x > 0, r, λ > 0. Γ(r) 2. Evaluate etx f(x) dx. HINT: Express f etx f(x) dx…

A: