Suppose X ∼ Geom(p). Use the law of total expectation to find var(X). (Hint: We found E[X] in class. Use the same way to compute E[X^2].)

Q: Use Simpsons Rule to approximate e-x*dx using n = 8 and state a bound on the error. The fourth…

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Q: Let f(x) = ln(xe7.) In f'(x) =

A: f(x)=lnxe7x

Q: Suppose E(X) = 2, E(Y) = 18, a = 0.05, and b = 0.95. What is E(aX+bY)? (Please round to two decimal…

A: Given, E(X) = 2, E(Y) = 18, a = 0.05, and b = 0.95

Q: Suppose E(X) = 8, and a = .69. What is E(aX)? (Please round to two decimal places: ex: 12.34)

A: Given that E(X)=8, and a=0.69. E(X) is the expected value of X and a is a constant.

Q: If f'Cx) ="e find all wrical auedy or honilantal Ao

A: Here we have to find the vertical and horizontal asymptote of the function f'(x)=-e1xx2

Q: f(x) = (x² + In x)(x³ + 4x + 5) f(x) = (x2+5x) In x (Vx-6x)e* %3D

A: We have to find the derivative for each of the functions. 1. fx=x2+lnxx3+4x+52. f(x)=x2+5xlnxx-6xex

Q: f(x) = tan¬1x f(x) = e* f(x) = In x 1 f(«) = !

A: Given function: fx=tan-1x Graph of the function fx=tan-1x is given below: Domain: -∞,∞ Range:…

Q: Find the derivative

A: Given function is  By using the properties of log  log(m)-log(n)=log(m/n) and log (m^n)=nlog(m), we…

Q: -4x f(x) = 4e¯4 ln(x).

A:

Q: for X=3,5, Find y value by considering tihe exponential curve fitting techinics y= dePX + Inly)…

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Q: When the graph of the derivative is positive then the graph of the antiderivative will be…

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Q: (a) Use the definition of L{·} to determine L{te=#}

A:

Q: 3 Differentiate if x* log,(2+vx) f(x)=|

A: Here the differentiation is in the following steps

Q: lowing data : x- f(x) : f'(x): 1 1 -5 0 1 1 3 7. the value of f(-0.5) from the (Anna B Togh 2005)

A: Given: x f(x) f'(x) -1 1 -5 0 1 1 1 3 7 To find f(-0.5)

Q: Suppose E(X) = 93, E(Y) = 95, a = 0.09, and b = 0.91. What is E(aX+bY)? (Please round to two decimal…

A: The objective of the question is to find the expected value of the linear combination of two random…

Q: Suppose E(X) = 100, E(Y) = 4, a = 0.91, and b = 0.09. What is E(aX+bY)? (Please round to two decimal…

A: The objective of this question is to find the expected value of a linear combination of two random…

Q: 2. Suppose f (x)= log(tan(1+x)). The following values for f(x) are valid. f(1.00)=-1.456916, ƒ(1.05)…

A:

Q: For the following continuous PDF, find: (a) E(X), (b) Var(X). 950 f(x) = x8, for 2< x <3, 0,…

A: PDF of X is f(x)=950x8, for 2 &lt; x &lt; 3

Q: Let g(x) = log3(æ). Find g'(4). g '(4).

A:

Q: Consider the following set Ω= {1, 2, 3, 4, 5, 6, 7, 8, 9, 10). Using the definition probability for…

A: Solution: From the given information, the set is

Q: Suppose E(X) = 62, E(Y) = 91, a = 0.38, and b = 0.62. What is E(aX+bY)? (Please round to two decimal…

A: E(X) = 62, E(Y) = 91, a = 0.38, and b = 0.62.E(aX+bY)=aE(x)+bE(y)

Q: If f(x) = 4 ln(5 + x), ƒ'(x) = ƒ'(1) =

A: f(x)=4ln(5+x)

Q: Use logan thme diferen kation to find the dewative 2. Y (X+2) (xt5) (XF6) (X19)

A: Given  y = (x+2) (x+5)2(x+6) (x+9) We have to find y' by using logarithmic differentiation.

Q: Let f(x) be piecewise continuous and a -exponential. In this case, prove that F(s) L £{f(x)} = F(s)…

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Q: Suppose E(X) = 69, E(Y) = 91, a = 0.43, and b = 0.57. What is E(aX+bY)? (Please round to two decimal…

A: Given,E(X) = 69, E(Y) = 91, a = 0.43, and b = 0.57

Q: Suppose E(X) = 77, E(Y) = 48, a = 0.36, and b = 0.64. What is E(aX+bY)? (Please round to two decimal…

A: Given,E(X)=77E(Y)=48a=0.36b=0.64

Q: Suppose E(X) = 71, E(Y) = 62, a = 0.23, and b = 0.77. What is E(aX+bY)? (Please round to two decimal…

A: The objective of this question is to find the expected value of a linear combination of two random…

Q: 5. Prove if the following function is differentiable y = x loge-*

A: Given that: y=xloge-x