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Question: We are going to compute the expected number of items that hash to any particular location in a hash table. Our model of hashing n items into a table of size k allows us to think of the process as n independent trials, each with k possible outcomes (the k locations in the table). On each trial we hash another key into the table. If we hash n items into a table with k locations, what is the probability that any one item hashes into location 1? Let Xi be the random variable that counts the number of items that hash to location 1 in trial i (so that Xi is either 0 or 1). What is the expected value of Xi? Let X be the random variable X1 + X2 + ··· + Xn. What is the expected value of X? What is the expected number of items that hash to location 1? Was the fact that we were talking about location 1 special in any way? That is, does the same expected value apply to every location?
an orthopedic surgeon sees aboutnbsp60 new patients per month the rest of his patients are seen for
Find at least three ordered pairs that satisfy the equation and sketch the graph of the linethrough them.
A communication tower is fixed to the top of a building. From a point 10 m from the base of the building, the angle of elevation to the top of the building is 60°, and to the top of the tower is 68°. What is the height of the communication tower, ..
Find an interval containing the real positive zero of the function f(x) = x 2 - 2x - 2. Use Algorithms 3.1 and 3.2 to compute this zero correct to two significant figures. Can you estimate how many steps each method would require to produce six sig..
The acceleration due to gravity near the surface of Mars is 3.72ms^-2. A rock is thrown straight up from the surface with an initial velocity of 23ms^-2.
given that fx is exactly divisible by x 1 i find the value of the constant k 2 ii solve the equation fx
Explain how the Fibonacci numbers arise in a variety of applications, such as in phyllotaxis, the study of arrangement of leaves in plants, in the study of reflections by mirrors, and so on.
The perimeter of a triangle ABC is 54. If the triangle has side lengths AB=3x,BC=4x, and AC=5x, find the lengths of each side.
A local hamburger shop sold a combined total of hamburgers and cheeseburgers on Saturday. There were more cheeseburgers sold than hamburgers. How many hamburgers were sold on Saturday?
Use the method of cylindrical shells to find the volume V of the solid obtained by roatating the region bounded by the curves about the x-axis. Sketch the region and a typical shell.
Show that a positive integer is divisible by 11 if and only if the difference of the sum of its decimal digits in evennumbered positions and the sum.
Explain in your own words what the author of your textbook means by the statement, “If you add percents, you often obtain incorrect results.” Determine other kinds of errors that can contribute to inaccurate percent results.
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