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Let X1 and X2 be independent random variables, each exponentially distributed with parameter A. Show that the random variables X1 + X2 and X1/X2 are independent.
Statistics and Probability, Statistics
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.
How many years (and months) will it take $2 million to grow to $5.60 million with an annual interest rate of 7 percent?
1. You roll a fair four-sided die twice, with sides numbered 1,2,3 & 4, shaking it well each time before rolling. Let A be the event that your rst role is strictly less than 3 and B be the event that your second role is ...
Rand Corporation has a 0.0 probability of a return of 0.6, a 0.3 probability of a rate of return of 0.05, and the remaining probability of a 0.92 rate of return. What is the expected rate of return of Rand Corporation?
A binomial process has 892 trails and a probability of success of 0.78. What is the standard deviation of this process distribution?
According to a survey of 25,000 ?households, 55 % of the people watching a special event on TV enjoyed the commercials more than the event itself. Complete parts a through e below based on a random sample of nine people ...
Question 1 (CO6) From a random sample of 68 businesses, it is found that the mean time that employees spend on personal issues each week is 4.9 hours with a standard deviation of 0.35 hours. What is the 95% confidence in ...
Boxes of sugar are filled by machine with considerable accuracy. The distribution of box weights is normal and has a mean of 32 ounces with a standard deviation of only 2 ounces. A quality control inspector takes a sampl ...
Vang Corp.'s stock price at the end of last year was $33.50 and its earnings per share for the year were $2.30. What was its P/E ratio?
Rework problem 25 from section 4.1 of your text involving a car saleswoman. Assume that showing a car is a Bernoulli trial, and each time she shows a car, there is a probability of 0.05 that the customer will buy the car ...
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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
Describe the difference between zero coupon bonds and coupon bonds. Under what conditions will a coupon bond sell at a p
Compute the present value of an annuity of $ 880 per year for 16 years, given a discount rate of 6 percent per annum. As
Compute the present value of an $1,150 payment made in ten years when the discount rate is 12 percent. (Do not round int
Compute the present value of an annuity of $ 699 per year for 19 years, given a discount rate of 6 percent per annum. As