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Question: (Buffon's Needle Problem) A needle of length L is dropped randomly on a plane ruled with parallel lines that are a distance D apart, where D ≥ L. Show that the probability that the needle comes to rest crossing a line is 2L/(π D). Explain how this gives a mechanical means of estimating the value of π.
identify the type 1 error and the type 2 error that correspond to the given hypothesis. the percentage of adults who
Determine the mean and the standard deviation of the 150 sample means, then compare these with their theoretically expected values.
it is decided to measure the resistance of sheets of a certain metal at temperatures x of 100k 200k 300k 400k and
a statistician has to decide on the basis of two observations whether the parameter ? of a binomial distribution is 14
A tobacco company advertises that the average nicotine content of its cigarettes is at most 14 milligrams. A consumer protection agency wants to determine whether the average nicotine content is in fact greater than 14.
A Cornell university study of wage differentials between men and women reported that one of the reasons wages for men are higher than wages for women is that men tend to more years of work experience than women. Suppose the following results were ..
A company requires its secretarial employees to demonstrate his/her ability to type more than 45 words per minute in a typing test.
What is the maximum water producing capacity that the station should keep on line for this hour so that the demand will have a probability of only 0.01 of exceeding this production capacity?
Is there sufficient evidence at the 0.05 level of significance to conclude that the proportion of women physicians at the university health system exceeds 27.9%?
Compute a 0.95 confidence interval for the true probability using the R function binomci. What is the estimated probability that someone is optimistic, given that the person has a low income?
Data follow. Use Excel to create the 90% confidence interval estimate of mean age of all of this magazine's subscribers.
The accumulate procedure is also known as fold-right, because it combines the first element of the sequence with the result of combining all the elements to the right. There is also a fold-left, which is similar to fold-right, except that it combi..
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