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If X and Yare independent Poisson random variables, show that the conditional distribution of X, given X + Y, is binomial.
If the campus was equally divided between males and females, what are the probabilities of males and females on this campus would be at risk?
Suppose the budget has the support of 53% of voters. What is the probability that the newspaper's sample will lead it to predict defeat? The probability is...........round to 2dp.
Lost luggage. An airline's public relations department says that the airline rarely loses passengers' luggage.
Heart rate during laughter. Laughter is often called ‘‘the best medicine,'' since studies have shown that laughter can reduce muscle tension and increase.
1) The program office budgets $30,000 per program review at the contractor's site. Your concern for "end of year" spending drills is that you have budgeted enough for the reviews (i.e. you are only concerned if the actual costs are higher than the..
A manufacturer of car batteries claims that the life of its batteries is normally distributed with mean µ = 58 months and standard deviation σ = 3. Determine the probability that a randomly selected battery will last at least 62 months.
Construction of histogram and pie chart for continuous data
Give a 95% confidence interval for the mean bleeding time under pressure for the six persons and draw some conclusion as to whether pressure increases bleeding time.
Combine the data from the two hospitals into a single contingency table that shows the relationship between treatment and outcome. Which treatment has the higher survival rate in this combined table? Justify your answer.
Can the binomial distribution be used to model the number of rare events that occur over a given time period?
Scores on test form normal distribution with mean of µ = 150 and a standard deviation of σ = 25. Mean for sample is M = 158. Compute test statistics (z score) for sample.
Estimate two models, of order 1 and 2, using unemployment as the response variable and lagged inflation as the explanatory variable(s).
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