Exercise 11. Suppose that X - Expon(5), i.e. f(x) = = e-x/5 1(x > 0). Compute.. (a) E(X), (b) qo.5, the median, and (c) var(X).

Q: 1. Let f(x) = 2x² + 1 and g(x) = [x]. Find the following. (a). What is (f ○ g)(x) = f(g(x)) = = (b).…

A: We Know that,  Greatest Integer Function is a function that gives the greatest integer less than or…

Q: 5. Find the values of x where the graph of the function has a point of inflection. Given: /(x) = x -…

A: Given function is : fx=x4-x3 To find point of inflection f''x is zero Differentiating the above…

Q: 3- Find the domain and ranges for V1/(1 – x3)

A: The given function is 11-x3  To find the domain and range of 11-x3

Q: Suppose Var(X) = 96, and a = .45. What is Var(aX)?

A: The objective of this question is to find the variance of the random variable aX, given the variance…

Q: Estimate f(-1.01, 2.01) given that f(-1,2) = -2, fa(-1,2) = -3 and fu(-1,2) = -5. f(-1.01, 2.01)

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Q: A random sample of 18 registered nurses in a large hospital showed that they worked on average 42.7…

A: We have given that,  Sample size (n) = 18, Average (x̄) = 42.7 sample standard deviation (s) = 2.7…

Q: of the function f(r) = (" – x)*. Find ao a. 12 Ob. O C. 6.

A: Let us consider the limit to be (0,2π) For the limit (-π,π)  the function is odd function so it will…

Q: Using a table, Find f [1.3, 2.4, 3.6] where f (x) = x²

A: For a function, , x is the independent variable and y is the dependent variable.

Q: Graph the functions

A: We make table for each potion  G(x)=1/x  x -3 -2 -1 -0.01 y -0.33 -0.5 -1 -100   G(x)=x…

Q: Why is the range of x/ absoulte value of x, from -1 to 1?   I don't get

A: Range of absolute value of x is positive number.

Q: If p assigns a quantity x to a second quantity, y, what is the range if p(x) = 3(x – 6)² + 11.2?…

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Q: see the question   as attached here :-

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Q: 3. Which function has an increasing graph? 이 y= ) b.) y = () c.) y = (7-2)* d.) y= )*

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Q: Evaluate the following function. If p (x) = 7 (4)" , find p (5)

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Q: Suppose Var(X) = 83, and a = .57. What is Var(aX)?

A: The objective of this question is to find the variance of a random variable that has been scaled by…

Q: Evaluate C(x,(x−1))

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Q: 7. Consider function below. What is the value of fl-5); f(0); 3) respectively? (4x+11, -10 Sx<-2 fx)…

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Q: 5.) Evaluate f(-3) for f(x) = x³ +3x + 17

A: Given  f(x) =x3+3x+17

Q: Let fé)--을(t)6. Eveluate f(-8) %3D f68)= ? %31

A:

Q: 1.Make a table for n=1,2,3,…,10 to compare the functions f(n)=n^2, g(n)=2^n and h(n)=n! and graph…

A: Make table as needed:  n f(n) g(n) h(n) 1 1 2 1 2 4 4 2 3 9 8 6 4 16 16 24 5 25 32 120…

Q: f(x) = x3 + 3x

A: if first derivative is positive in the that interval f(x) is decreasing

Q: 1.) Let f(x) = 7 + What is f(3 + h)?

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Q: Drawthegraphofy = -e(x- 2).

A: Given- y=-ex-2 To draw- The graph of the above expression.

Q: Evaluate the following function. If p (x) = 4 (3)", find p (3)

A: p(x) = 4(3)x to find p(3) we will put value of variable x = 3 .

Q: (b) Determine the range of f, if f :D → R, where f (x) = x?. I. D = (-2, 2) II. D = [-7, 2] III. D =…

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