Since it is known that E[X] = 1 , Var[X] = 5, calculate the result of the following operations. a) E[(2+X)^2]=? b) Var[(4+3X)]=?

Q: 2. Given g(x) = (3x+ 2)(x- 2), determine each value. a) g(0) b) g(-1) c) g(1/2)

A: The given function,   g(x)=3x+2x-2

Q: g(x) = x³ + x? - 8x- 12 f(x) = x² + 4x +3 %3D h(x) = x² + 3 %3D s(x) = x² - 3x

A:

Q: For fx) = x+6, find each of the following a. (-1) e. (for xs97) (5) a. f-1)-5 b.r (5)-0

A: Given query is to find the indicated valen do the function.

Q: 2x5 + 4x + g(x) = (2x5 4 8/5 x²

A: Given: The given function is gx=2x5+4x+4x28/5. To find: We have to differentiate the given function.

Q: Given that f(x) = 3x/x-9, for what values of x does f(x) = 4/5?

A: To calculate the value of x.

Q: If f(x) = x3 + 1, then give the following

A: Consider the function: fx=x3+1

Q: What happens to this base function that went from  a(x)= x2 to  h(x) = -x2+ 4 and why it happened?

A: The objective of the question is to understand the transformation of the base function a(x) = x^2 to…

Q: exp(x) = ex ?  Is it just a matter of notation, or does exp( ) mean something else?

A: Yes this is true exp(x) = e^x  exp(x) is command in coding language to type e^x

Q: Perform the indicated operations: (1 -1/x)(1 - 1/(x +1)(1 - 1/(x+2)(1 - 1/(x+3) ?

A: Given expression, 1-1x1-1x+11-1x+21-1x+3

Q: Let f(æ) = 4x + 4 and g(x) = 5æ? + 2æ. After simplifying, (f + g)(x) =

A:

Q: J x(x² + 3)5 dx

A:

Q: If E[X] = 5 and Var(X) = 4, then E[(4 + 5X)²] = [] and Var(3+5X) 0

A: Given that :E(X)= 5 and Var( X )=4 .For a random variable X…

Q: 2. Let f(x) = -x + 7 and g(x)=x²-2. Evaluate each expression. (a) f(g(1)) (b) g(f(6))

A:

Q: For f(x) = 5x - 3 and g(x) = 2x2 – 5, find the following functions. a. (fo g)(x); b. (g o f)(x); c.…

A:

Q: If f(x) = x*3 − 6/x, find the following:a) f(-1/2)b) f(2)c) f(-2)

A: Answer: a) -27/2 or -13.5

Q: Describe the types of probability samples and discuss under which conditions they may be the most…

A: Solution-: Describe the types of probability samples and discuss under which conditions they may be…

Q: If E[X 4 and Var(X) 1, then E(1 + 5X)²] - and Var(2 + 4X)

A: GivenE(X)=4Var(X)=1

Q: For each year, t, the population of a forest of trees, call it Forest A, is represented by the…

A: A(t)=85(1.026)t B(t)=113(1.021)t C(t)=123+(2.3)t

Q: If VAR(X) = 8, E(X)= 3, then E(X – 2)² = None

A: Provided information is,  VAR(X) = 8, E(X) = 3 From given information,…

Q: Let f(x) = 3 In ((0+1) 2x 2-25)-In(2(0+1) x-10): a. Simplify f(x) b. If f(x) = 4, find x.

A: Use the following properties of the logarithmic function to simplify this equation. ln a-ln b =…

Q: Evaluate the following r+1 (1) -1+1 (i) 1² – x + 2

A: Given: I=∫x+1x2-x+1dx For evaluating given integral, we simplify given expression then integrate it

Q: Integrate the following x2(x-4)ex(x-2)

A: find out the integral of x2(x-4)exx-2

Q: (i) X= “ABCDBCDC” and Y=” BCDCD” (ii) X= “POLYNOMIAL” and Y= “ EXPONENTIAL”

A: This is a problem of counting and finite math.