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Question: The members of a private golf club have handicaps that are normally distributed with mean 15 and standard deviation 3.5. In a particular event, foursomes are chosen by grouping four players chosen at random from the club. The handicap of the foursome is the arithmetic average of the handicaps of the four players comprising the foursome. In what proportion of the foursomes will the handicap of the foursome be less than 10 or more than 20?
(Hint: The standard deviation of the average of four independent identically distributed random variables is exactly half the standard deviation of one of them.)
Define carefully what a prime ideal is. How do prime ideals relate to ordinary prime numbers? State and prove a theorem connecting between prime ideals and integral domains
Find an equation for the speed of the liquid as a function of the distance y it has fallen. Combining this with the equation of continuity, find an expression for the radius of the stream as a function of y.
Develop and solve a linear optimization model to determine the optimal mix to maximize profit and write a short memo to the president Kathy Chung explaining the sensitivity information in language that she can understand.
Explain the connection between reduced costs and the range of optimality, and between dual prices and the range of feasibility.
Compute the Euclidean distance between the following set of points.
The first-order system of Problem is driven by a white random disturbance wk-i, with E(wk) = 0 and E(w2k)= 1. Its measurement is corrupted by the time.
What percentage of western states would you expect to have property crime rates between 2646 and 4048?
(a) Formulate this problem as a transportation problem by constructing the appropriate parameter table. (b) Draw the network representation of this problem. (c) Obtain an optimal solution.
Jobs arrive at a single machine for processing. Jobs arrive in groups of two (always) with an exponentially distributed time between groups with mean rate ?.
An n × n matrix P is a permutation matrix if for all vectors x the components of the vector Px are simply a reordering of the components of x.
A helium-filled balloon is tied to a 2.00-m-long, 0.050 0-kg uniform string. The balloon is spherical with a radius of 0.400 m. When released, it lifts a length h of string and then remains in equilibrium, as in Figure P14.55. Determine the value ..
Let T ⊂ R3 denote the doughnut-shaped surface obtained by revolving the circle (y - 2)2 + z2 = 1 around the z-axis. Give T the orientation determined by the outward unit normal. Compute the surface area of T
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