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Show that if X1 has a Poisson distribution with parameter A1, if X2 has a Poisson distribution with parameter λ2, and X1 and X2 are independent, then X1 + X2 is Poisson distributed with parameter λ1 + λ2.
Statistics and Probability, Statistics
1) If there are 150 values in a data set, how many classes should be created for a frequency histogram? A. 5 B. 6 C. 7 D. 8 E. 9 2) . If x is a binomial random variable where n = 100 and p = 0.2, find the probability th ...
Adult male heights X have N(70", 3.3") a.) What percent of adult males are shorter than 63"? b.) What percent of males are taller than 70"? c.) What's the 80th percentile of male heights? Show work
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.
What are the uses and value of statistical significance testing and the p-value as demonstrated in the various analytical techniques (t-tests, ANOVA, chi-square, etc.). What's the fundamental reason we apply these techni ...
Describe the theoretical problems of ethics (3), the objectives to solving them.
A population has a mean μ=79 and a standard deviation σ=24. Find the mean and standard deviation of a sampling distribution of sample means with sample size n=248 μx= ?Simplify your? answer. σx= rounded to three decimal ...
Suppose that systolic blood pressure for 35- to 44-year-olds is normally distributed with mean 125 in mm Hg and standard deviation 10 in mm Hg. What proportion of individuals will have a blood pressure reading between 12 ...
Explain the similarities and differences between "bagging" and "boosting" in predictive analytics.
In a? pre-election poll, a candidate for district attorney receives 253 of 500 votes. Assuming that the people polled represent a random sample of the voting? population, test the claim that a majority of voters support ...
Given a normally distributed random variable, X, with mean (μ) and standard deviation (σ) shown on the right, calculate P(a μ =15 s = 2 a =16 b =20 Given a normally distributed random variable, X, with mean (μ) and stand ...
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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