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1. Consider n independent ?ips of a coin having probability p of landing heads. Say a changeover occurs whenever an outcome differs from the one preceding it. For instance, if the results of the ?ips are H H T H T H H T, then there are a total of ?ve changeovers. If p = 1/2, what is the probability there are k changeovers?
2. Let X be a Poisson random variable with parameter λ. Show that P{X = i} increases monotonically and then decreases monotonically as i increases, reaching its maxi- mum when i is the largest integer not exceeding λ.
What can R2adj do if we add another variable to a regression equation? What can R2 do if we add another variable?
the table below shows the number and types of cars competing in a sports car rally.stick gautomatic htotalamerican
Use the data to Compute a 90% confidence interval to estimate the population average difference. Assume that the number of passengers is normally distributed.
The following data are based on information from Domestic affairs. Let X be the average number of employees in a group helh insurance plan, and let Y be the average administrative cost as a percentage of claims.
A contractor is considering a sale that promises a profit of $32,000 with a probability of 0.7 or a loss (due to bad weather, strikes, and such) of $9000 with a probability of 0.3. What is the expected profit?
How does a researcher determine the meaning of a score on a norm-referenced test such as an IQ test? Why are raw scores transformed to standardized scores, such as z-scores, in order to interpret those raw scores?
For one-year and five-year CDs, separately compute the variance, standard deviation, range, and coefficient of variance.Based on the results of (a), do one-year or five-year CDshave more variation in the yields offered? Explain
Assume that you choose a 50 families sample. Which is the form expected from the distribution of the average or median of the sample?
Conduct the following test using 95% level of confidence.
The average number of unoccupied seats was calculated? How large should the sample have been if a margin of error of 0.25 seats was desired?
in the annual report a major food chain stated that the distribution of daily sales at its detroit stores is known to
a pharmaceutical company recieves large shipments of aspirin tablets. the acceptance smapling plan is to randomly
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