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You want to estimate the size of an MIT class that is closed to visitors. The students are numbered from 1 to n, where n is the number of students. You call three random students out of the classroom and ask for their numbers, which turn out to be 1, 3, 7. Find the maximum likelihood estimate for n. (Hint: the student #'s are drawn from a discrete uniform distribution.)
The ages of circulating pennies are right skewed. Most circulating pennies were minted relatively recently, and extremely old pennies are rare. Assume the ages of circulating pennies have a mean of 12.2 years and a standard deviation of 9.9 years.
A random sample of 100 doctors results in 83 who indicate that they recommend brand A. The value of the test statistic z in this problem is approximately?
Let R be a σ-ring of subsets of a set X . Let S be the σ-algebra generated by R. Recall (§3.3, Problem 8) or prove that S consists of all sets in R and all complements of sets in R.
a person has 8 friends but can only invite 5 to their birthday party. how many ways can she invite 5 friends if two of
Find the unemployment rate for people with each level of education. How does the unemployment rate change with education? Explain carefully why your results show that level of education and being employed are not independent.
What is the chi-square goodness of a fit test? What is its purpose? What does it measure? Is there a way of telling when the test is over?
a machine is set to pump cleanser into a process at the rate of 9 gallons per minute. upon inspection it is learned
Find a 99% confidence interval for the mean pH in rainfall and interpret the interval and what assumption must be made for the confidence interval to be valid?
jupiter media used a survey to determine how people use their free time. watching television was the most popular
A researcher claims that the average age of people who buy theatre tickets is 51. A sample of 30 is selected and their ages are recorded as shown below.
A metropolitan school system consists of two districts- north and south. the north district contains 60% of all students, and the south district contains 40% of all students.
provide an example of a situation where you could utilize correlation analysis calculating the coefficient of
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