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Prove that for the entropy of a probabilistic system we have where In represents the natural logarithm (e.g., see Shier, 1988). The entropy is thus maximized when all outcomes are equally probable (uniform distribution).
Statistics and Probability, Statistics
Research Scenario: A social psychologist is interested in whether the number of days spent in a refugee camp predicts trauma levels in recently resettled refugees. He interviews 17 refugees to determine how many days the ...
Suppose we can only sample from Uniform distribution (0,1) with k=3. Design an algorithm to simulate chi-square distribution with 2k freedom via general transformation method.
Question 1 Private capital expenditure for 12 successive quarters are presented in the following table: Quarter Millions 1 31,920 2 25,120 3 30,350 4 24,650 5 30,090 6 23,980 7 28,450 8 26,710 9 31,380 10 27,260 11 3 ...
A bottle of water is supposed to have 12 ounces. The bottling company has determined that 98% of bottles have the correct amount. Which of the following describes a binomial experiment that would determine the probabilit ...
At Litchfield College of Nursing, 85% of incoming freshmen nursing students are female and 15% are male. Recent records indicate that 70% of the entering female students will graduate with a BSN degree, while 80% of the ...
The revenue function R(x) and the cost function C9X) for a particular product are given. These functions are valid for the specified range of values. Find the number of units that must be produced to break even. R(x) =20 ...
A process is normally distributed with a mean of 104 rotations per minute and a standard deviation of 8.2 rotations per minute. If a randomly selected minute has 118 rotations per minute, would the process be considered ...
Let X be a normally distributed random variable with μ = 100 and σ = 10. Find the probability that X is between 80 and 105. (Round your answer to the nearest whole number percent and include the percent symbol.)
The speed of cars on a stretch of road is normally distributed with an average 42 miles per hour with a standard deviation of 5.9 miles per hour. What is the probability that a randomly selected car is violating the spee ...
Describe the steps you took. There are 652 males, 396 say they have been to dentist in past year. Give a confidence interval for 90% of the population proportion.
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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
