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Suppose X, Y, and Z are random variables with joint density function f(x, y, z) = Ce-(0.5x+0.2y+0.1z) if x 0, y 0, z 0, and f(x, y, z) = 0 otherwise.
(a) Find the value of the constant C.
(b) Find P(X 1, Y 1).
(c) Find P(X 1, Y 1, Z 1).
How many relative maximum/minimum points are there? How many absolute max/min points?
Traders often buy foreign currency in hope of making money when the currency's value changes. For example, on February 17, 2006, one U.S. dollar could purchase 0.8382 Euros, and one Euro could purchase 140.9687 yen.
Determine the total contribution to profit that lies on the objective function (profit line) as it is plotted on the graph if the company produces a combination of cases of Brand X and Brand Y.
The projected number of Americans age 65 and older for the years 1995-2030 can be modeled by the equation N(x)= 0.03x^2+0.315x+34.23 million people, where x is the number of years after 2000.
A ball is hit at an angle of 36 degrees to the horizontal from 14 feet above the ground. If it hits the ground 26 feet away (in horizontal distance), what was the initial velocity? Assume there is no air resistance.
Explain the difference between the solution sets when a compound inequality contains the word "and" versus when the inequality contains the word "or".
Show that the functions x and x^2 are orthogonal in P5 with inner product defined by ( =sum from i=1 to n of p(xi)*q*(xi) ) where xi=(i-3)/2 for i=1,...,5.
Control A certain machine that is used to manufacture screws produces a defect rate of .01. A random sample of 20 screws is selected. Find the probabilities that the sample contains the following
have similar triangles.if they are similar triangles how would i work out the proportions since only two values are given.
a bullet of mass 0.04kg travelling at 300m/s hits a fixed wooden block and penetrates a distance of 4cm. find the average resistance of the wood.
The exponential models describe the population of the indicated country, A, in millions, t years after 2003. What will the population of Russia be in 2008?
To minimize the cost of the pipeline, how far from the refinery should P be located? (Round your answer to two decimal places.)
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