Closed form for the moment generating function
Find a closed form for the moment generating function of a discrete uniform random variable, that is, for the random variable X with pmf p(x) = 1/n for x = 1,2,3,....,n.(hint: use lemma 2.6.1.)
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Deyoung International Academy has students with the following grades: 10% had an A; 75% had a B; 10% had a C; and 5% had D's. In using these grades, answer these questions about a sample of 10 students that were selected at random.
A) find the probability that at least 3 earthquakes occur during the next 2 weeks. B) find the probability distribution of the time, until the next earthquake.
These are a lot of airplanes that are coming in at a speed of six per minute during flights.
A random sample of 100 voters found that 44% were going to vote for a certain candidate. Find the 99% limit for the population proportion of voters who will vote for that candidate.
A report states that 38% of home owners had a vegetable garden. How large a sample is needed to estimate the true proportion of home owners who have vegetable gardens to within 4% with 95% confidence?
What is the value for x2left for a 95% confidence interval when n = 18?
Jasmine International has 100 prospective original bracelets. About 20% of all bracelets come to order for retailing. Suppose that the binomial assumptions are fulfilled and use a normal approximation to answer.
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