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Consider a standard six sided die, numbered 1 through 6 on each face. The probability of rolling each number is 1/6.
a.) Let X equal the sum of the values from two independent rolls, then E[X] is?
b.) What is the variance of one throw of the die?
c.) Using the result from question B, what is the variance of X, as defined in question A?
d.) Suppose that Y is a continuous, uniformly distributed variable over the interval [-1,1]. Then P(Y=0) equals?
John Smith bought a house for $100,000 two years ago. The down payment was $20,000 and the remainder was financed at 6%interest ratefor 15 years. The annual inflation rate for the past 2 years has been 2% and it is anticipated.
Calculate the t-statistic for the hypothesis test c.) Find the critical value and rejection region for a 5% significance level d.) Given your answers to b.) and c.), what do you say to the athlete's statement that he is better than Carl Lewis? 2. ..
A medium sized city is considering offering exclusive rights to CableNet, a cable television carrier. The demand function for cable in this city is: P= 28- 0.0008Q; The resulting marginal revenue function is: MR = 28 - .0016Q ; Cablenet's marginal co..
In city A, the value of an apartment falls in direct proportion to its distance from the business center. Thus an apartment one kilometer away will lose 20 percent of its value and an apt 2 kilometers away will lose 40 percent of its value.
A $50,000 loan with nominal interest rate of 6% compounded monthly is to be repaid over 30 years with the payments of $299.77. The borrower wants to know how many payments he will have to make until he owes only half of the amount he borrowed init..
Robertson Inc. wishes to set aside lump sum money to withdraw from and invest in automating parts of its business over the next 5 years. This money is expected to earn compound interest at the rate of 10% per year.
An economy has the per-worker production function: yt=3kt0.5, where yt is output per worker and kt is the capital-labor ratio. The depreciation rate is 0.1, and the population growth rate is 0.05. Savings is: St=0.3Yt
An engineer starts to make quarterly deposits of $1,500 (at the end of a quarter) into an investment account at age of 45. If he wants to have $250,000 when he retires at age of 65, what must be the nominal and effective interest rates per year
Consider a Stackelberg duopoly game of quantity competition. Firm #1 is the "Leader" and firm #2 is the "Follower." Market demand is given by the inverse demand function p=100-4Q.where Q=q1+q2 is the total output of the two firms.
In order to increase their efficiency, one group of operators was imparted classroom training, and the other group was provided on the job training. After the training, the times to complete a certain job in minutes, was recorded for both the grou..
a. If the theater uses third degree price discrimination, what price will it charge for daytime tickets How many will be sold b. If the theater uses third degree price discrimination, what price will it charge for nighttime ticket How many will be ..
Draw a separate box diagram to show what the contract curve might look like if Aisha was concerned about very low consumption of food and clothing by Robin, but Robin was only concerned about his own consumption.
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