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Define (a) stochastic process; (b) random variable; (c) discrete random variable; and (d) probability distribution.
Without using formulas, explain the meaning of (a) expected value of a random variable; (b) actuarial fairness; and (c) variance of a random variable.
What are the parameters of a binomial distribution? (b) What is the mean of a binomial distribution? The standard deviation? (c) When is a binomial skewed right? Skewed left? Symmetric? (d) Suggest a data-generating situation that might be binomial.
What are the parameters of a Poisson distribution? (b) What is the mean of a Poisson distribution? The standard deviation? (c) Is a Poisson ever symmetric? (d) Suggest a data-generating situation that might be Poisson.
When are we justified in using the Poisson approximation to the binomial? (b) Why would we want to do this approximation?
Explain a situation when we would need the hypergeometric distribution. (b) What are the three parameters of the hypergeometric distribution? (c) How does it differ from a binomial distribution?
When are we justified in using (a) the Poisson approximation to the binomial? (b) The binomial approximation to the hypergeometric?
Calculate p value? What is the critical value?
In an experiment in which a die was rolled 188 times it was counted up how many times each face came up. The results are as follows:
Is this statistically significant evidence that candidate has sufficient valid signatures overall? Describe.
Determine the regression equation. Determine the coefficient of determination. Do you think Mr. Profit should be satisfied with using the size of the offering as the independent variable?
Select either the Least Squares Method, the Moving Average Method, or the Weighted Moving Average and provide step-by-step instructions you would employ to plot the associated trend line.
All else being equal, what occurs to your confidence interval when you increase value of alpha?
In a randomly controlled trial conducted with children suffering from croup, 46 randomly selected children were treated with ow humidity while another group of randomly selected children were treated with high humidity.
Confidence interval for the population mean - Prepare a 99% confidence interval for the population mean.
Examine the two standard deviations. What do these indicate about the range of benefits enjoyed by the two groups?
Probability using discrete distribution.The probability distribution for the random variable x follows.
A pie chart shows the market shares of cola products. The "slice" for Pepsi-Cola has a central angle of 90 degrees. What is its market share.
Computing the probability values using normal distribution - Find the probability that a regular rat (without the supplement) would solve the maze with a score less than or equal to X = 24 errors?
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