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Two balls are chosen randomly from a basket containing 8 white, 4 black and 2 orange balls. Suppose that we win $2 for each black ball selected and we lose $1 for each white ball selected. Let X denote our winnings.
(a) What are the possible values of X ?(b) What are the probabilities associated with each value?(c) Do you expect to win? By how much?(d) Obtain the moment generating function for the obtained probability function.(e) Verify your answer in (c) using your result in (d).
A printed poster is to have a total area of 603 square inches with top and bottom margins of 4 inches and side margins of 3 inches. What should be the dimensions of the poster so that the printed area be as large as possible?
's salary is 1 cent/second for a 40 hour work week. Tiare's salary is $1400 for a 40 hour work week. Who has a higher salary?
Having devised a way to simulate Terry's one-and-one probabilities and having run the simulation 40 times, what was the most frequent outcome in your simulation and what was the average score per one-and-one situation?
A cylindrical drill with radius r1 is used to bore a hole through the center of a sphere of radius r2. Find the volume of the ring-shaped solid that remains.
The world's tallest ferris wheel is in osaka, japan, and stands 369 feet tall. its wheel has a diameter of 328 feet. find the circumference of the ferris wheel.
A coin is tossed 3 times. Discrete random variable X is equal to the number of times Heads comes up. Discrete random variable Y has the value 1 if the first toss comes up heads and 0 otherwise.
Draw an acute scalene triangle. Label the vertices A, B,C on the interior of each angle. Construct a segment congruent to line segment AC. Label the endpoints D and E.
to determine the number of deer in a game preserve, conservationist catches 524 deer, tags them and lets them loose. later 500 deer are caught, 250 of them are tagged. How many deer are in the preserve.
Zoe purchased a house in 1999 for $192,000. In 2006 she sold the house and made a net profit of $50,000. Find the effective annual rate of return on her investment over the 7-yr period. (Round your answer to the nearest hundredth of a percentage p..
Factorize the given expression - Evaluate the perfect square
what is the equadric formula for $1000.00 worth of stock with a 10% annual interest increase?
Let E be an open and convex subset of R^n and let f in C^1(E). Show that f satisfies the Lipschitz condition on E if and only if its derivative Df is bounded on E, that is, there exists a constant M => 0 such that the norm of
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