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[DOC File]kelly's math stuff - Home
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Variance = 5. Use the probability distribution in #4 to answer the following: P( x = 2) P(x < 3) Probability x is at least 1. 6. In a game of chance, you have a 30% chance of winning $5, a 50% chance of. losing $4 and a 20% chance of breaking even. What is your expected profit . ... Calculator …
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[DOC File]Calculating Probability
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Mean and Variance of a discrete r.v. with probability distribution. The mean (The mean of a r.v. is also called as the . expected value.) The variances . The standard deviation = Ex. Toss a coin twice, x = # of heads. Find and . The probability distribution is . x 0 1 2 P(x) 0.25 0.5 0.25
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[DOC File]Probability & Statistics
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for the variance. It leads to much shorter calculations because the formula uses the quantities and , which can be obtained quickly on a calculator. Example 3. Find the mean and variance of the set of numbers 63, 65, 67, 67, 72, 74, Solution: = 27832. Example 4. It is known that the variance of 5 measurements in ascending order 8, 9, 12, 15, x ...
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[DOC File]CALCULATION OF REPEATABILITY AND REPRODUCIBILITY
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In eq.28, n, , are parameters, and B( , ) is beta function. Probability distribution function is given by eq.29. (29) (30) Eq.30 is probability density function of beta distribution. The expectation and variance of random variable, X which is followed by beta binomial distribution is given by eq.31 and 32 respectively. (31) (32) Model
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[DOC File]Problem 1:
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State of the Economy Probability RA RB Boom 10% –2% Recession 6% 40% Calculate the expected return for stock A and stock B. Calculate the total risk (variance and standard deviation) for stock A and for stock B. Calculate the expected return on a portfolio consisting of equal proportions in both stocks.
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[DOC File]PERT Calculations
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Adding up the three critical path variances, we get a total variance of 3.417, and taking the square root of that number, we get a standard deviation of 1.8484. With this data we can perform two calculations: finding the probability of meeting a particular due date, and finding a limits for a confidence interval of a given probability.
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[DOCX File]Portland State University
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Problems 10 – 11: The random variable X is the number of occurrences of an event over an interval of ten minutes. It can be assumed that the probability of an occurrence is the same in any two-time periods of an equal length. It is known that the mean number of occurrences in ten minutes is 5.3.
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[DOC File]RETURN CALCULATIONS - Lehigh University
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Year RF Market x y Portfolio 10% 40% 30% 20% ←Weights 2002 5% 18% 15% 18% 15.80% 2003 6% 12% 20% 15% 14.40% 2004 5% 7% 9% 35% 13.00% 2005 4% 10% 10% 9% 9.20% 2006 4% 5% 5% -5% 2.90% Mean 4.80% 10.40% 11.80% 14.40% 11.06% Variance 0.0001 0.0025 0.0034 0.0211 0.0027 Std Dev 0.84% 5.03% 5.81% 14.52% 5.18% beta 0.07 1 0.83 0.64 0.79 RF,Mkt Mkt,x x,RF Mkt,y x,y y,RF …
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[DOC File]Section 1
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Use your calculator to help evaluate a binomial probability. If X is B(n, p), find µx and (x (that is, calculate the mean and variance of a binomial distribution). Use a Normal approximation for a binomial distribution to solve questions involving binomial probability.
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Variance calculator with probability