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Suppose you are given a six-sided die, that might be biased in an unknown way. Explain how to use die rolls to generate unbiased coin flips, and determine the expected number of die rolls until a coin flip is generated. Now suppose you want to generate unbiased die rolls (from a six-sided die) given your potentially biased die. Explain how to give this, and again determine the expected number of biased die rolls until an unbiased die roll is generated. For both problems, you need not give the most efficient solution; however, your solution should be reasonable, and exceptional solutions will receive exceptional scores.
A shirt manufacturer knows that, on the average, 2% of his product will not meet quality speci?cations. Find the greatest number of shirts constituting a lot that will have, with probability 0.95, fewer than ?ve defectives.
an emergency breakdown service suggests that 50 of all drivers are registered with their service. a random sample of
In using the standard normal distribution to construct a confidence interval for the population mean, what two assumptions are necessary if the sample size is less than 30?
Guessing a regression line. In the Correlation and Regression applet, click on the scatterplot to create a group of 15 to 20 points from lower left to upper right with a clear positive straight-line pattern (correlation around 0.7). Click the "Dra..
Your goal is have a college fund for your child. Suppose you find a fund that offers an APR of 7%. How much should you deposit monthly to accumulate ?$t86,000 i
Suppose a sample of farmers is to be selected for estimating the cost of cultivation of maize per hectare. The precision is to be within 20 birr with 95% confidence level.
the expected mean life of a particular type of light bulb is 1000 hours with a standard deviation of 50 hours. the life
In each of the following scenarios, which would be larger, the mean or median, or would the mean and median be about the same? Provide reasoning--think about the shape of the histogram for the data and how the shape would affect the relationship b..
The slips are thoroughly mixed, then drawn two at a time. How likely is it that every person will be teamed with someone other than the person he or she came to the party with?
question assume that breast cancer affects .8 percent of the female population between 40 and 50 years of age. there
James is thinking about betting on the outcome of the next presidential election. An online betting service offers him a deal where he can bet $ 1000.
For the following scores, find the (a) mean, (b) median, (c) sum of squared deviations, (d) variance, and (e) standard deviation:
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