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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.
At the .10 level of significance, is the coin biased toward heads? Show your decision rule and calculations.
Population blood pressure (BP) of patients is normally distributed, with a mean of 127, and standard deviation of 8. A random sample of 49 patients in the hospital found an average BP of 125.
Which of the following errors will be associated with the sample? Errors due to interviewer bias and selection bias.
suppose that a fair coin is tossed repeatedly and let n be the number of tosses until the rst heads is obtained.a find
An article in Baltimore Sun claimed that the typical supermarket trip takes a mean of 22 minutes. Suppose that in an effort to test this claim, you select a sample of 50 shoppers at a Baltimore City Giant.
a sample of size 500 gave a sample proportion of 0.3. what is the standard error of the sample proportion? give your
when do children in the united states develop preference for brand name products? in a study reported marketers showed
The marketing director of a large department store wants to estimate the average number of customers who enter the store every five minutes.
identify the sample space of the probability experiment and determine the number of outcomes in the event. draw a tree
telephone marketers and opinion polls use random digit dialing equipment to call residential telephone numbers at
a past issue of the journal news hamilton ohio reported on a study conducted by the kaiser family foundation regarding
a survey was conducted in ohio on high school marijuana use. of the 2266 high school students surveyed 952 admitted to
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