5. Let X1, X2, .. be iid Exponential (0), and Y1, Y2,....be iid Expomential (20), = min {n :I (X, > Yn) = 1}. and suppose the X's and Y's are independent. Let N Which of the following is true? (a) P (N = 3) = (b) E (N) = 2 (c) E (N²) = 15 (d) None of the above

Q: Suppose that f(r) = 5x/5 – 2x5/7. Evaluate each of the following: f'(2) =| f'(6) =| %3D

A:

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: 10. (a) Given that f(x) = x² + 2 and g(x) find X - 3' f(8(x)) and state its domain. What is f(8(5))?…

A: 10). (a) Given function are fx=x2+2 and gx=2x-3. To find fgx and state its domain and also to find…

Q: f(x) = x²e²

A:

Q: 5. Which is the inverse of f(x) =2? %3D Or (2) = H 241 Of (x) = 1- Of (x) = 1 1-c f(x) = 1+a

A: To find f-1(x) We interchange x and y and solve for y as function of x

Q: 15. (1.3.36) Find fogoh, where f(x) = |x4| g(x) = 2x h(x) = √(x)

A: To find , where

Q: 6. y = xe* 7. y= 3x.e* 8. y = x² In(x) 9. y =x*(5x – 1) 10. y = (x² + 2x)5(3x-3 +x²)-7 11. y = (1 –…

A: Use product rule of differentiation.

Q: 1 [log, (x- y) - log; (x+ y)]

A: Given that: 12log5(x2-y2)-log5(x+y)

Q: 4. Let f(x)= |x| and g(x) = x-3. (a) Determine the formulas for each of the related composite…

A: The composite function is defined as when the output of one function is used as the input of another…

Q: Given f (9) = 2, f' (9) = 6, g (9) = -1, and g' (9) = 8, find the values of the following. (a) (b)…

A: to find the values.

Q: If a function h satisfies h(-x) = h(x) for every number x in its domain, then h is called an even…

A:

Q: Which of the following could represent an exponential function of the form y=f(x) = A.bx, where b>1?…

A: We need to find correct option.

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: 13. A lake with a surface area of 60 000 m² has been infected with an invasive algae species. At…

A: As per the rules of the company we are supposed to answer the first three subparts and rest can be…

Q: 10. Match each function on the left to its graphe on the right: g(2) = 3 (4)" h(x) = 2" +3

A: To Match the functions on the left to the graph on the right.

Q: 4) z = loge(7 + j)*

A:

Q: | (2/x-1)? dx= 4/x-ln x'+x+c. 1. 4/x+ln x*+x+c. 3. (-4)/x-ln xª+x+c (-4)/x-ln x+x+c.

A: Given: I=∫2x-12dx for evaluating given integral, first we expand given expression so, I=∫2x-12dx…

Q: 2. In (x + 2) + In 2 = 3 | 4. log:9 – logs (x+ 10) = 1 6. log, (x² +3x) – log, (x + 5) = 1

A:

Q: Use the quotient rule to show the following: If n is a negative integer, and g(x) = x" then g' (x) =…

A: Solving by Quotient rule we can get

Q: f(x) = ex/³; [1₁3]

A: