Calculate E(X³), where X has the following PMF: .5 x=1 f(x)=.3 x=2 2 x=3

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: For the functions f(x) = 2x - 4 and g(x) = 3x² + 2x, find (gof)(x).

A: The answer as follows:

Q: dx x2/3

A: ∫dxx-x2/3=∫dxx2/3(x1/3-1)

Q: A CTIVITY (EXhhential) 2x2+3X+ 1 I.y=9 2e y= x3 = 2^ + 3e y -5x 3

A:

Q: ind and simplify 1E+h-/@), if f(x) = 7– 5x f(z+h)

A: Topic:- calculus

Q: The value V of a jet ski t years after it was purchased can be estimated using V(t)= 3,795/t +610…

A: Given that The value V of a jet ski t years after it was purchased can be estimated using V(t)=…

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: In a certain year, the cost of producing construction materials in California fluctuated more than…

A:

Q: Differentiate the following function. f(x) = - 4 e 3x *(-4 e 3x) = D dx

A: Differentiate the following function

Q: Find a formula of the form f(x) = Ab* using the given information. f(x) = f(0) = 3.8; the value of f…

A: Given f0=3.8 and the value of f triples for every half-unit increase in x.   To Find: A formula of…

Q: Find, to three decimal places, the value of x such that e−x = x.

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: The windchill index announced during the winter by the weather bureau measures how cold it "feels"…

A:

Q: Suppose the function p(t) models the size of the population of wolves in a forest at time t, where…

A: Given: The function pt models the size of the population of wolves in a forest at time t. a. Since,…

Q: Suppose that y = C(t) represents the average cost of a gallon of milk in the United States t years…

A: represents the change in the average cost of a gallon of milk in the United States t years since…

Q: a. Find the maximum heart rate function, M(x) for a person a years of age. M(x) = b. What is the…

A: As per the company rule, we are supposed to solve the first three sub-parts of a multi-parts…

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: 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 E(X)= 5 and E(X2)= 30,the value of E(1/X) will be; Select one: a. 1/30 O b. None c. 1/5 O d. 5/1

A: Given  E(X)= 5 E(X2)=30 We want to find the value E(1/X)= ?

Q: f (x) = -5 x2 %3D f' (a) = 10 %3D a =

A:

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: Derive the following function 9. y In x+1 x-2 10. Dºsin(x)

A: