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Suppose X and Y are independent random variables with X ∼ Gamma(α, λ1) and Y ∼ Gamma(α, λ2). Is X + Y a gamma random variable? If so, what are the parameters of the distribution?
Statistics and Probability, Statistics
If you flip five coins what is the probability that you will get at least three heads?
Problem: Arrival of vehicles at New Jersey Turnpike toll booth on Saturdays at dawn is modeled as a Poisson Arrival process with a rate of 1.21 vehicles per minute. Let X be a random variable that records the number of a ...
Cardinal Industries had the following operating results for 2018: Sales = $33,813; Cost of goods sold = $23,967; Depreciation expense = $5,947; Interest expense = $2,685; Dividends paid = $1,951. At the beginning of the ...
Monthly water bills for a city have a mean of $108.43 and a standard deviation of $36.98. Find the probability that a randomly selected bill will have an amount greater than $165, which the city believes might indicate t ...
Why might a bank avoid the use of interest rate swaps, even when the institution is exposed to significant interest rate risk?
A political candidate wishes to determine if endorsing increased social spending is likely to affect her standing in the polls. She has access to data on the popularity of several other candidates who have endorsed incre ...
15-18 years 4 19-22 years 5 23-26 years 6 27-30 years 9 31-34 years 2 35-38 years 7 Based on the frequency distribution above, find the relative frequency for the class 15-18 . Relative Frequency = % Give your answer ...
Use the information below to answer the questions that follow : While the Mars candy company no longer reports the percentages of each color M&M that are produced, they had previously reported the following: 13% brown 1 ...
A laboratory worker finds that the 3% of his blood samples test positive for the HIV virus. In a random sample of 70 blood tests, what is the mean number that test positive for the HIV virus? (Round your answer to 1 deci ...
The following is data a veterinarian collected from some of her clients. It is a rough estimate % of dogs weight and how long the dog lived estimate of dog's weight(xi) life span(yi) 20 ...
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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