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Find two positive numbers satisfying the given requirements: the sum is 120 and the product is a maximum.
What is the probability that a randomly chosen employee is a manager and will gain promotion next year?
Let X be uniform on the set {1/2,1/3,1/4}, and let the distribution of Y |X = x be geometric with parameter x; that is, P(Y = k|X = x) = (1 - x)kx, for k = 0,1,2,..
Assume f is continuous on the interval (a,b) that contains x0 and f(x0)>0. Show there is an open interval J that contains x0 and m>0 such that f(x)>=m for each x in J.
Suppose that 40% of a company's television sets are manufactured at a plant in Portland and 60% at a plant in Houston. Of those made in Portland, 4% are defective, and of those made in Houston 9% are defective.
Find the standard deviation of the data in the given frequency table. A company had 80 employees whose salaries are summarized in the frequency table below. Find the standard deviation.
Probability: Moment Generating Functions and Poisson Process Let X be a discrete random variable with probability mass function Pr {X=k} = c(1+ k^2) for k= -2, -1, 0, 1, 2.
state the value of the discriminant and the number of real solutions.
Calculate the coefficient of determination
In 35 of their stores they sold on the average 430 suits per year with a population standard deviation of 40. What is the test value for their claim?
The lowest flying speed v (in ft/s) at which a certain airplane can fly varies directly as the square root of the wing load w (in lb per sq. ft). If V=88 ft/s when w= 16 lb/sq ft, find the derivative of v with respect to w.
Use Gram-Schmidt algorithm to the sequence {x_1,x_2, x_3} to find an orthonormal basis of S. Use the result above to find the QR factorization of the matrix A=(x_1l x_2l x_3).
Sketch the graph of the given function and evaluate the height of the cliff from the word problem.
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