An individual who has automobile insurance from a certain company is randomly selected. Let y be the number of moving violations for which the individual was cited during the last 3 years. The pmf of Y is the following.y010.45 0.25230.25 0.05P(Y)(a) Compute E(Y).E(Y) =(b) Suppose an individual with Y violations incurs a surcharge of $90Y2. Calculate the expected amount of the surcharge.$

1) It is given that the random variable Y denote the number of moving violations for which the…

Answered: (a) Compute E(Y). E(Y) = (b) Suppose an…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The analysis of tooth shrinkage by C. Loring Brace and colleagues at the University of Michigan’s Museum of Anthropology indicates that human tooth size is con-tinuing to decrease and that the evolutionary process has not yet come to a halt. In northern Europeans, for example, tooth size reduction now has a rate of 1% per 1000 years. a. If t represents time in years and y represents tooth size, use the condition that y = 0.99y0 when t = 1000 to find the value of k in the equation y = y0 ekt. Then use this value of k to answer the following questions. b. In about how many years will human teeth be 90% of their present size? c. What will be our descendants’ tooth size 20,000 years from now (as a percentage of our present tooth size)?
Determine the upper-tail critical value tα/2 in each of the following circumstances.
The analysis of tooth shrinkage byC. Loring Brace and colleagues at the University of Michigan’s Museum of Anthropology indicates that human tooth size is continuing to decrease and that the evolutionary process has not yetcome to a halt. In northern Europeans, for example, tooth sizereduction now has a rate of 1% per 1000 years.a. If t represents time in years and y represents tooth size, usethe condition that y = 0.99y0 when t = 1000 to find thevalue of k in the equation y = y0ekt. Then use this value of kto answer the following questions.b. In about how many years will human teeth be 90% of theirpresent size?c. What will be our descendants’ tooth size 20,000 years fromnow (as a percentage of our present tooth size)?
Show mathematically that MRS is increasing for U=1-ex +e2y and is diminishing for U=lnX +LnY
Suppose that Yt follows a stationary AR(1) model with β0 = 0 and β1 = 0.5.If Yt = 10, what is your forecast of Yt+2 (that is, what is Yt+2|t)? What isYt+h|t for h = 20? Does this forecast for h = 20 seem reasonable to you?
2) The y = Inx curve is rotated around the x-axis in the range 0
Determine S[y] has a local maximum or minimum on the stationary path. (by the value of the O(ϵ2) term in Δ)
If I have 2 for the degrees of freedom with an alpha of 0.05, what would be the critical value of t?
Assume S = $45, σ = 0.25, r = 0.05, div = 0.0, on a 45 strike call and 55 days until expiration. Given delta = 0.5502 and gamma = 0.0876, what is the delta-gamma approximation for the call price on a $0.90 stock price decline?
a) Find the marginal pmfs of X and Y b) Find the conditional pmf of X given Y = 1
Can you find the amount of salt A in the tank at any time t?
A certain brand of upright freezer is available in three different rated capacities: 16ft3, 18 ft3, and 20 ft3. Let X = the rated capacity of a freezer of this brand sold at acertain store. Suppose that X has pmfx 16 18 20p(x) .2 .5 3a. Compute E(X), E(X2), and V(X).b. If the price of a freezer having capacity X is 70X – 650, what is the expectedprice paid by the next customer to buy a freezer?c. What is the variance of the price paid by the next customer?d. Suppose that although the rated capacity of a freezer is X, the actual capacityis h(X) = X - .008X2. What is the expected actual capacity of the freezer purchasedby the next custom

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(a) Compute E(Y). E(Y) = (b) Suppose an individual with Y violations incurs a surcharge of $90Y2. Calculate $