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Show that there exist three laws α, β, and γ on R2 such that there is no law P on R6 with coordinates x, y, and z in R2 for which x, y, and z have laws α, β, and γ , respectively, and E |x - y|= W (α, β), E |y - z|= W (β, γ ), and E |x - z|= W (α, γ ). Hint: Let a, b, and c be the vertices of an equilateral triangle of side 1. Let α := (δa + δb )/2,β = (δa + δc )/2, and γ = (δb + δc )/2. (So the simultaneous attainment of Monge-Wasserstein distances by random variables for all laws, as in R1 in Problem 2, no longer is possible in R2.)
a supplier of wire cables has determined that the strength of the cables has a normal distribution with mean ? 2000
At the 0.05 significance level, can we conclude that the mean waiting time at the Warren Road MacBurger is less than 3 minutes?
At the 0.05 level of significance, is there evidence of a difference in the daily customer count based on the price of a small coffee?
A health insurance company charges policyholders a $1250 annual premium for health insurance for hospitalization. Find the insurance company's expected profit per policyholder
Students will conduct one brief research exercise that will be written up as a research report using APA style.
what percent of the area under the normal curve is between z 1.22 and z 1.96?a. 0.0862b. 0.8638c. 0.025d.
Suppose that in a population of 10 items, 3 are defective and 7 are not. Suppose that two items are chosen at random for inspection. Let X be the number of defective items inspected. report all probabilities to a minimum of 5 decimal places of acc..
Use an appropriate Liapunov function to determine the stability of the equilibrium points. If an equilibrium point is stable, is is asymptoticall stable?
the mean and standard deviation on a calculus mid term are 66 and 19 points while they are 72 and 15 on the final. if a
What is the probability that a randomly selected cell phone bill is more than $67.75?
members of the general adult population volunteer an average of 4.2 hours per week. a random sample of 20 female
Determine a 99% confidence interval for mean pH in rainfall. How would you distinguish interval?
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