1. Compute E(1/X) 2. Find the cdf and the pdf of Y = 1/X 3. Compute E(Y) and compare this result with the answer obtained in part (a)

Q: d) the conditional pdf of Y given X. e) E(Y|X = -1)

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Q: Find the smallest integer n to guarantee that the error in using Tn to approximate | e dx is e less…

A: The integral is ∫01ex2dx  The error of Tn is obtained by the formula is E=-b-a212n2f''c We want…

Q: A college professor never finishes his lecture before the end of the hour and always finishes his…

A: c) Given density is, fx=0.375x2, 0≤x≤2 Consider, P30 sec≤X≤90 sec=P0.5 min≤X≤1.5 min)     since, 1…

Q: Find the integral of (e^x - 1)/(e^x + 1) dx.

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Q: In each of the following find the pdf of Y. (a) Y = X? and fx(x)= 1, 0 < I< 1 (b) Y = - log X and X…

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Q: Solve the solution of the DE of the Gompertz function: dP = c In[P dt М In[P

A: We have a nonlinear ordinary differential equation :

Q: Given a function : E = 1/2 mv^2 + 1/2 kx^2 Where, x = A cos(wt) v = dx/dt k= mw^2 A, w are constants…

A: Given information: The function is E=12mv2+12kx2, and the value of x=A cos(wt), v=dxdt and k=mw2. To…

Q: Suppose that Y ~ Normal(0, 1). Compute E[Y³].

A: Solution

Q: The Weber-Fechner law states that if Y is the physical intensity of sound and X is the perceived…

A: From the given information, fY(y)=ye-y22, y&gt;0 And X=klog(Y)Xk=logYeXk=Yexk*1k=dydx

Q: An 37. Calculate coeff. of Q.D. and Bowley's coeff. of skewness from the data given below: Profits…

A: We want to find coefficient of QD and Bowley's coefficient of skewness.

Q: The following data are obtained in oxidation of pesticides present in wastewater by a mixed culture…

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Q: The linear approximation of e is

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Q: (a) Let X have the following pdf : S2(x - 1) 1<z<2 S(2) = elsewhere. Compute E(X'), E(2X-1)

A: As per our guidelines we are suppose to answer first question.

Q: 1.4 Using the graph in Figure 1.7 below, find Saf (t)dt and if the area of the shaded region is A,…

A: Given the graph representing the area

Q: 3) Suppose the joint pdf of lifetimes of a certain part and spare is given by f(x,y) = {e**), 0 < x…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: 1. Use the Neymann-Pearson lemma to develop a best test for Ho: B= 6 versus Ha:ß=4 for the…

A:

Q: Let fix) = 2x, 0 <x<1, zero elsewhere, be the pdf of X. (a) Compute E(X) and Yar(X) (b) Find mean…

A: Expected Value and variance: If X is given as the random variable with the probability density…

Q: Find the total differential of the following:  z= xsinxy

A: The  total differential equation is dz=∂z∂x·dx+∂z∂y·dy. The given function of x and y is z=xsinxy.…

Q: 2. Suppose the PDF of X is given by fx(x) = 5e-5x(o)(x). Find its CDF.

A: Solution

Q: 1. Show the marginal PDF of X. 2. Find P(X >Y). 3. Find P( < X s }).

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: (a) Find the marginal PDFS fx(x) and fr(y). (b) What are E X and Var X? (c) What are EY and Var|Y?

A: Provided information is, The random variable X and Y have joint PDF as: fx,yx,y=x+y3      0≤x≤1=0…

Q: Calculate coefficient of Q.D. and bowley 's coefficient of skewers from the data given below:…

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Q: Given the joint pdf of X and Y: f (x, y) = Kx²y,0 < y < x < 1, 0, otherwise (a) Determine the value…

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Q: edx e dx (e*+1)*

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Q: Prove that coshz =log ztv= {Hint : cosh z =e} 2.

A: Use the hint and prove this.

Q: f substance B, in milligrams, left after t years, given that the initial quar

A: Option of part c is A.

Q: If the 2n RVs A, and B, are uncorrelated with zero mean and E(A²,) = E(B²,) = %3D o, show that the…

A:

Q: . In one model of the changing population P(t) of a community, it is assumed that 4 = -, where and…

A: As we have to solve for p(t) in (a) so there is clearly  a misprint it should be dD/dt in place of…

Q: (10) The ifctime 7 of a device has pdf astsa+To fr(t) = To otherwise A. Determine R(t) and MTTF of…

A: Given The lifetime T of a device has pdf Find Determine R(t) and MTTF of the devices Determine the…

Q: Suppose a spherical balloon grows in such a way that after t seconds, its volume V is given by V = 4…

A: The volume of the spherical balloon is ,

Q: Suppose that a person’s score X on a mathematics aptitude test is a number between 0 and 1 and that…

A: A person’s score X on a mathematics aptitude test is a number between 0 and 1. A person’s score Y on…

Q: 4. The pdf of X is ƒ (x)=,1<x<∞. a) Calculate the value of c so that f(x) is a pdf. b) Show that…

A: Using mathematical integration

Q: 5. Evaluate by using beta function: | °(1 – r*)} dx.

A:

Q: 6. Given the pdf f(x)=B(1+x)-(1+B) x>0 Find the MLE of ß

A: Let x1,x2,...,xn be random sample from the given pdf. The pdf of xi is given as fxi=β…

Q: suppose the cdf of r.v. X is given by 1- e -2 x x > 0 F(x) = x < 0 Please find its pdf, and compute…

A: It was stated to suppose that X is a random variable. The given CDF is as follows:  Fx=1-e-2x ;…

Q: 1. Let X be a lifetime (in hours) of a lightbulb and suppose that X has a PDF of (e0.001x f(x) = {…

A:

Q: In the Romer model output is given by ü = e where j = ALy = A(1-sR) %3D Assume that = ALA Further…

A: Introduction:-

Q: Evaluate (a) by using beta function ∞ ∫ √xe−xdx 0

A:

Q: Sheet 4 Numerical analysis dx QI/ Evaluate Jo 1+x2 Simpson's 1/3 rule Simpson's 3/8 rule i- ii-

A: In the question we have to find value of integrals.

Q: 1, fund warginal cictribution for h(x) for 2. Fud condhtimal pdf4 t) . Estaati yi/ a) V. Estuate…

A: As per the guideline, 3 subparts can be answered. please repost the remaining subpart. thank you.

Q: The Beer-Lambert law relates the absorbance A of a solution to the concentration C of a species in…

A: a) The absorbance of a solution is measured to be A=1.30±0.05, the concentration of a species in the…

Q: a) the linear approxinma ion to the function + 3X ät

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Q: 1. The following equation pertains to the concentration of a chemical in a completely mixed reactor:…

A: Consider the provided question,

Q: Prove that by Gamma Function pit +e e-st dt %3D s2 +1

A: Gamma Function: The gamma function, denoted by is denoted by which is convergent for Some…

Q: 1. Find the following derivatives: d E In (1 + In(t)) dt A P B = In (1 + In(t)) dt dr 1/a d E| In (1…

A: Given problem:-

Q: e: ZN ZP

A: Given: MN¯≅MP¯, NO¯≅PO¯ To prove: ∠N≅∠P