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Suppose X is a binomial random variable with parameters n and p. (i.e., there are n trials). Suppose Y is a binomial random variable with parameters n and q. Suppose also that 0 p < q 1. True or false?: P(X k) P(Y k), for any k. If true, provide a proof. If not true, provide a counterexample. (Hint: if you're having trouble, simplify by considering small n.)
Suppose K is a conjugacy class of S_n (the symmetric group), with K consisting of even permutations. Suppose that x in K. Show that K splits into two conjugacy classes
what is the measure of the angle between the end of the shadow and the vertical side of the building? (Assume the person's eyes are level with the top of the building.)
the data below are the final exam scores of 10 randomly selected statistics students and the number of hours they
You invested $19000 in two accounts paying 7% and 8% annual ineterest respectively. If the total interest earned for the year was $1350, how much was invested at each rate?
describe a research hypothesis and a null hypothesis the difference between the two and what makes a good hypothesis.
How many shirts must Gina sell to break even? What would be the total revenue of this?
One end of a rope is attached to the top of a pole 100 ft high. If the rope is 150 ft long, what is the maximum distance along the ground from the base of the pole to where the other end can be attached? You may assume that the pole is perpendicul..
Create an expression for your classmates to solve that uses scientific notation and at least one of the rules for exponents you have described.
calculate the amount of the final price adjustment because of defective pricing. labor was overpriced by 15000.
consider four different stocks all of which have a required return of 18 percent and a most recent dividend of 2.80 per
This spinner is spun 36 times. The spinner landed on A 6 times, on B 21 times, and on C 9 times. Compute the empirical probability that the spinner will land on B.
fixed axis has an angular position given by theta = 3.0 - 2.0t3, where theta is measured in radians and t in seconds. What is the angular acceleration of the wheel at t = 2.0 s?
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