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Let x be N(µ,σ2 ) and consider the transformation x=log(y) or equivalently y=exp(x). Find the mean and the variance of y by first determining E(exp(x)) and E[(exp(x)^2 ], by using the moment generating function of x.
Statistics and Probability, Statistics
a. How much money would you have to invest today to accumulate ?$3,100 after 4 years if the rate of return on your investment is 15?%? b. What is the present value of ?$3,100 that you will receive after 4 years if ...
Two pediatricians want to investigate a new laboratory test that identifies streptococcal infection. Dr. Kidd uses the standard culture test, which has a sensitivity of 90% and specificity of 96%. Dr. Childs uses the new ...
A manufacturer obtains? clock-radios from three different? subcontractors: 10?% from? A, 30?% from? B, and 60?% from C. The defective rates for these subcontractors are 3?%, 2 %, and 5?% respectively. If a defective? clo ...
In a certain city, a school administrator hypothesized that students enroll in school within 5 km from their homes. To check this claim you asked 30 student from the said city and you found that the mean distance between ...
Now assume that I am talking about a normally distributed set of data: An IQ test. This IQ test has a mean of 100 and a standard deviation of 15. Find the following probabilities What is the probability that someone scor ...
Discuss two types of costs & two types of benefits(excluding tax shield and EPS) that would potentially arise from the leveraged recapitalization( a firm proposed a leveraged recapitalization which could create immediate ...
A random sample of 77 eighth grade? students' scores on a national mathematics assessment test has a mean score of 290. This test result prompts a state school administrator to declare that the mean score for the? state' ...
In a large university, 68% of students live in dormitories. A random sample of 14 students is selected. What is the probability that the sample contains more than five students who do not live in the dormitories?
The average time a person spends at the Barefoot Landing Aquarium Is 96 minutes. The standard deviation is 17 minutes, and this variable is normally distributed. What is the probability that a randomly selected visitor w ...
You're trying to find out how many students who graduate with accounting degrees from large universities are employed at graduation. You design an experiment where you collect information on several variables from recent ...
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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