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Question: Let A(i : j) denote the array of items in positions i through j of the Array A. In selection sort, we use the method of Exercise to find the largest element of the array A and its position k in the array, then we exchange the elements in position k and n of Array A, and we apply the same procedure recursively to the array A(1 : n - 1). (Actually we do this if n > 1; if n = 1 we do nothing.) What is the expected total number of times we assign a value to L in the algorithm selection sort?
Exercise: Given an array A of length n (chosen from some set that has an underlying ordering), we can select the largest element of the array by starting out setting L = A(1), and then comparing L to the remaining elements of the array one at a time, replacing L by A(i) if A(i) is larger than L. Assume that the elements of A are randomly chosen. For i > 1, let Xi be1if element i of A is larger than any element of A(1 : i - 1). Let X1 = 1. Then what does X1 + X2 + ··· + Xn have to do with the number of times we assign a value to L? What is the expected number of times we assign a value to L?
the company is considering increasing its advertising by $50,000 in order to sell more car parts. How many additional parts must the company sell in order to justify the increased advertising costs?
The diameters of grapefruits in a certain orchard are normally distributed with a mean of 7.10 inches and a standard deviation of 0.50 inches.
Devise an algorithm that finds the first term of a sequence of positive integers that is less than the immediately preceding term of the sequence.
in a company with 3000 employees, the monthly salaries are normally distributed. The mean salary is $2700, with a standard deviation of $400. About how many of the employees earn more than $2460 per month?
A bullet is fired horizontally at a target, and the sound of its impact is heard 3.5 seconds later. If the speed of the bullet is 3300 ft/sec and the speed of sound is 1100 ft/sec, how far away is the target?
One observes that the protocol UMC is based on a nondeterministic protocol that simply guesses the position j where x and y differ.
The math club is selling gift wrap for a fundraiser. They sold 45 rolls of solid wrapping paper at $4 each and rolls of patterned wrapping paper $5 each. If they made $265, how many rolls of patterned wrapping paper did they sell?
Approximate the maximum possible percent error in the calculated volume by using the total differential as an approximation to volume change.
MARGINAL PROFIT Lynbrook West, an apartment complex, has 100 two-bedroom units. The monthly profit (in dollars) realized from renting x apartments.
Relate the three measures of center, mean, median, and mode, with the levels of measurement, nominal, ordinal, interval, and ratio. Be sure to include which measures of center are appropriate for each level of measurement and why.
Metric space has infinitely many distinct connected components - Is it possible (X,d) compact ? if yes ,give an example if no provide proof?
A hemispherical tank is lying on the ground with its flat side facing down. The tank is filled to a depth of 6 ft with oil of density of 50 lb/ft^3. How much work is required to pump all of the oil through a valve in the top of the tank to a point 5 ..
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