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Suppose you hash n items into a hash table of size k. It is natural to ask about the time it takes to find an item in the hash table. We can divide this into two cases, one when the item is not in the hash table (an unsuccessful search), and one when the item is in the hash table (a successful search). Consider first the unsuccessful search. Assume the keys hashing to the same location are stored in a list with the most recent arrival at the beginning of the list. Use our expected list length to bound the expected time for an unsuccessful search. Next consider the successful search. Recall that when we insert items into a hash table, we typically insert them at the beginning of a list, and so the time for a successful search for item i should depend on how many entries were inserted after item
i. Carefully compute the expected running time for a successful search. Assume that the item you are searching for is randomly chosen from among the items already in the table. (Hint: The unsuccessful search should take roughly twice as long as the successful one. Be sure to explain why this is the case.)
the volume V of a sphere with radius r is given by V=4/3 pi r squared. Identify a reasonable domain and range for the radius and volume.
Formulate and solve a linear programming model for Sam that will help you to advise him if he should lease the booth.
How long should each piece of the wire be to minimize the total area? What is the radius of the circle? How long is each side of the square?
Find the best predicted value of y corresponding to the given value of x. The regression equation relating attitude rating (x) and job performance rating (y) for the employees of a company is hat(y)=11.7+1.02x. Ten pairs of data were used to obtai..
What is the probability that a randomly chosen employee who has not had graduate training is a woman?
What similarities and differences do you see between functions and linear equations? Are all linear equations functions? Is there an instance when a linear equation is not a function?
A sample of the TBU scores of 50 people revealed a mean score of 330 with a standard deviation of 45. What is the 98% confidence interval of the mean, m, of these people? TBU scores distribute normally.
What is the probability that the average fracture strength of 100 randomly selected pieces of this glass exceeds 14.5?
If $34,000 is borrowed for 9 years at 6.75% interest, compounded annually, and then paid in full at the end of that period, how much must be paid back at that time?
Assuming that there is no cost of entering the sweepstakes, find the expected value of the amount won for one entry.
Conditional Probability Example I'm trying to set up an excel spreadsheet to solve a statistical probability.Patients 23% (smokers) -18% have a chance of contracting a serious illness
Find the median of the following data and Summarize the data by constructing a frequency distribution and a relative frequency distribution, using intervals shown
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