An insurance agent receives a bonus if the loss ratio L on his business is less than 0.5, where L is the total losses (say, X) divided by the total premiums (say, T). The bonus equals (0.5 - L) * (T/30) if L < 0.5 and equals zero otherwise. If X (in $100,000) has the p.d.f.   f(x) = 3/x^4, x > 1   and if T (in $100,000) equals 3, determine the expected value of the bonus.

Q: The value of a ticket in a lottery, in which 2,000 tickets are sold, with 1 grand prize of $4,000,…

A: The value of a ticket in a lottery, in which 2,000 tickets are sold, with 1 grand prize of $4,000,…

Q: Make a table of values and graph the function

A:

Q: What is the derivative of* 2х + 3 f(x)%= 2r2 + 7r +6

A:

Q: For f(x)=3^x, find f (5/2)  f(5/2) =

A:

Q: When a deposit of $1000 is made into an account paying 4% interest, compounded annually, the…

A: Given :   Formula for average rate of change :

Q: y = 10+7.5cos(0.507t). How quickly is the tide rising or falling (in meters/hour) at each of the…

A:

Q: The time it takes an average athlete to swim 100 meters freestyle at age x years can be modeled as…

A: please see the attachment

Q: Janna invested 15,000 and received35,000 after a certain period, findthe effective rate for (A) 10…

A: See the attachment

Q: graph the following function f(x)=2^(x+z)

A: Given function is: fx=2x+2

Q: The value, v of a computer is modeled by the function V(t)=500(0.82)^t where t is the number of…

A: The value of computer is modeled by the function,  V(t) = 500(0.82)t Where t is time in years

Q: when you found out that there was discontinuity at x=2, why did you take the derivative to get rid…

A: The given function,The aim is to explain why we used derivative at .

Q: A company estimates that it will sell N(x) units of a product after spending Sx thousand on…

A:

Q: The dorivative of

A: To find: The derivative of the function fx=sin1+cosx. Formula used: Chain rule of derivative:…

Q: If t(x)=5(9^x), find t′(x).

A:

Q: Suppose that E(X)=3 and E(X")=11. Then Var(3X+1)=

A: From the provided information, E (X) = 3 and E (X2) = 11

Q: R(x)%3 570xe^-0.001x

A: Given: Substitute x=1000 in the above expression.

Q: f(x)=4x7^x f′(x)= f′(−2)=

A:

Q: Find the point of diminishing returns for the revenue function R(x)=-2/3(x^3-12x^2-6), 0 less than…

A: The given  revenue function is Rx=-23x3-12x2-6. in the interval 0≤x≤8. Since a point of diminishing…