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Suppose that X has density fX(x) given below. fX(x) = x/2 if 0 < x < 2, 0 otherwise. Let Y = 1/(4X + 2) . (a) Compute the cdf and the density of Y . (Remember to be very explicit about all cases!) Plot them. (b) Compute the variance of Y and of Y2
Statistics and Probability, Statistics
Five houses in a row are each to be painted with one of the colors? red, blue,? green, and yellow. In how many different ways can the houses be painted so that no two adjacent houses are of the same? color? Answer is 324 ...
Given that X is binomially distributed with n = 36, and p = 0.33, use the normal approximation to the binomial (with correction for continuity) to estimate the probability that X is less than 14? Round your answer to 2 p ...
A project has an initial outlay of $4,623. It has a single payoff at the end of year 3 of $8,869. What is the net present value (NPV) of the project if the company's cost of capital is 12.43 percent?
A fish tank in a pet store has 23 fish in it. 11 are orange and 12 are white. Determine the probability that if we select 4 fish from the tank, at least 2 will be white.
You are offered the right to receive 3,000 per year? forever, starting in one year. If your discount rate is 3?%, what is this offer worth to? you? (round to the nearest dollar)
Assume that the fisherman can use between 5 and 8 lines. With 5 lines, the probability of a catch on each line is 0.71. With 6 this probability is 0.63, with 7 it is 0.51, and with 8 the probability is 0.43. 1) How many ...
A standard? 52-card deck of cards is shuffled and then a hand of 8 cards is dealt from the deck. How many different outcomes are possible that have exactly 3 ?pairs, and all other cards of different? ranks?
The December CBOT Treasury bond futures contract is quoted at 92-19. If annual interest rates go up by 1.50 percentage points, what is the gain or loss on the futures contract? (Assume a $1,000 par value, and round to th ...
It is now May 1, 2015, and Timmy has just purchased a five-year U.S. government bond (FV = $1,000) with a quoted price of 93.779. This bond has a 6-percent coupon rate, and the last semi-annual coupon payment was made on ...
54% of public high school students are provided a computer by their school district. 40 students are selected at random. The random variable represents the number of students who have been provided a computer by their sc ...
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Why might a bank avoid the use of interest rate swaps, even when the institution is exposed to significant interest rate
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Compute the present value of an annuity of $ 699 per year for 19 years, given a discount rate of 6 percent per annum. As