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The Pilsdorff Beer Company runs a fleet of trucks along the 100 mile road from Hangtown to Dry Gulch. The trucks are old, and are apt to break down at any point along the road with equal probability.
Where should the company locate a garage so as to minimize the expected distance from a typical breakdown to the garage? In other words, if X is a random variable giving the location of the breakdown, measured, say, from Hangtown, and b gives the location of the garage, what choice of b minimizes E(|X - b|)? Now suppose X is not distributed uniformly over [0, 100], but instead has density function fX (x) = 2x/10,000. Then what choice of b minimizes E(|X - b|)?
how do i find fisher information matrix of n iid random variables x1... xn of a gamma distribution with parameter alpha
A sample of 1545 men and an independent sample of 1691 women were used to compare the amount of housework done by men and women in dual-earner marriages.
Second treatment had M = 52 with s^2 = 36. Do these data point to significant difference between two treatments? Use the two-tailed test with α = .05.
To test whether there is any association between two variables using Chi-Square test for independence.
one key risk factor for type ii diabetes is obesity and the cdc defines obesity as having a body mass index bmi of 30
The average family size was reported as 3.18. A random sample of families in a particular school district resulted in the following family sizes: 5 4 5 4 4 3 6 4 3 3 5 6 3 3 2 7 4 5 2 2 2 3 52
How many nickels does a coin counter manufacturer need to weigh so that she can be 98% confident that her sample mean is within 25 milligrams of the true average weight of a nickel?
Under the new structure of the sample, how will the answers to a, b, and c change and create a 95-percent confidence interval for the average distance of Brand A
How many citizens would need to be sampled if a 99% confidence interval was desired to estimate the true proportion to within 1%?
one hundred people participate in a lottery. one will win the grand prize of 1000 and five more will win consolation
if it is reported that 1 in 6 eggs is contaminated with salmonella. if salmonella contamination occurs independently in
the weinberg electronics corporation manufactures four highly technical products that its supplies to aerospace firms
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