If P(x)=0.8P(x)=0.8 and x=3x=3, then find the value of E(X)E(X).

Q: 2. The discrete random variable X has the probability function kx, x = 2,4, 6 P(X = x) = - 2), x = 8…

A: From the given information, it is clear that,  The discrete random variable X has a probability…

Q: Find the function f (x) for which f (x) = e-5x, f (0) = 1.

A: A function is a relation which maps each value in its domain to exactly one value in its range. For…

Q: If E (X) = 1 and Var (X) = 4 then E (X² + 2X – 1) = :- 1)

A:

Q: S(e2x + 1) dx =

A:

Q: Find f′(x).   ​f(x)= ln x/27+x

A:

Q: d (7 ln(x)) dx Find

A: Find

Q: Find a formula for f(") (x) if f(x) = e-10: fln)(z) =[]

A:

Q: Find f"(x) for the functions x² +5x f(x) = ex b. f(x) = (x² – 1)e* a.

A:

Q: If f(x) = ex, find f(ln(2))

A:

Q: If ["f(x) dx = f(x) dx = 37 and id ["g(x) dx = 12, find [3f(x) + 4g(x)] dx.

A:

Q: Let h(x)=f(x)g(x). If f(x)=ln(3x2−2x−4) and g(x)=3x−1, what is h′(x)?

A:

Q: -g(x) = x²sinx cosx . Find g'(x).

A: We will use the product rule of differentiation to find the derivative.

Q: This question relates to the survival function for a life s(x) = e-x/100 (a) Show that s(x) is a…

A: To show that s(x) is a valid survival function, we need to confirm two properties:1. The survival…

Q: h(x) = e(-1/2)x

A:

Q: If f(x) = x2, g() = x+1, and h(x) = / Va – 1, then evaluate (fohog)(x). %3D

A: Plug g(x)=x+1 inside h(x) and simplify

Q: If Mx (t) = X X-t find E(X) E (x²) and var

A: The moment generating function (MGF) is given as follows:

Q: Find the derivative of the function. y= log , (3x2 - 2x) 5/2 O A. In 9(3x- 1) (3x2 - 2х) OB. 10(3x –…

A: We need to apply 1.chain rule 2.differentiation of logarithmic   we get option c as correct answer

Q: dx x³+; |dx, then A + S, g(x) dx is equal to %3D ....

A: We have, ∫x2-1x3+xdx=∫Ax+g(x)dx Here, the given integral can be rewritten as,…

Q: Suppose the E(X) = 2.5 and Var(X) = 1. If the variable Y is related to X by: Y = 2x - 2, find the…

A: We foil the expected value to obtain  E[(2X−2)2]=E[4X2-8X+4]=4E[X2]−8E[X]+4 We know the mean is 2.5…

Q: If h(x)=6ex−5, find h′(x).

A:

Q: Find the given value. g(x) = 5x3(x2 − 5x + 4),    g'''(0) g'''(0) =

A: Use derivative to get the value of g^"'(0).

Q: E(1|X-x)=? (ocx

A: marginal of xf(x)=∫f(y)dymarginal of yf(y)=∫f(x)dxf(y/x)=f(x,y)f(x)and E(y/x)=∫yf(y/x)dy

Q: For the PMF Px(x) = { 2 0 x = 1,3, otherwise. calculate E[2x].

A: The PMF of X is given as,