Sided die is rolled twice
A 8-sided die is rolled twice. Let X be the sum of the two rolls, Y be the first minus the second, and Z be the 4 times the first, minus the second.
(a) Compute Cov(X,Y):
Cov(X,Y)=
(b) Compute Cov(X,Z):
Cov(X,Z)=
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If the number of people entering an elevator on the ground floor is a Poisson random variable with mean 12, and if each person is equally likely to get off at any floor, independently of the others, compute the expected number of stops that the el
It is reasonable to model the number of winter storms in a season as with a Poisson random variable. Suppose that in a good year the average number of storms is 5, and that in a bad year the average is 6.
Consider 50 independent flips of a coin having probability 0.4 of landing on heads. We say that a changeover occurs when an outcome is different from the one preceding it. Find the expected number of changeovers.
For a group of 120 people, assuming that each person is equally likely to have a birthday on each of 365 days in the year, compute. The expected number of days of the year that are birthdays of exactly 4 people:
Does x have a binomial distribution or a hypergeometric distribution? Support your answer. Find the probability that three internship-trained candidates are hired for these positions.
A random sample of 40 adults with no children under the age of 18 years results in a mean daily leisure time of 5.29 hours, with a standard deviation of 2.29 hours.
Determine the t critical value for a two-sided confidence interval in each of the following situations. (Round your answers to three decimal places.)
A population has a mean 72 and standard deviation 12. Find the mean and standard deviation of a sampling distribution of a sample means with sample size n 36.
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