Justify the choice of using the median of three as pivot

Assignment Help Mathematics

Reference no: EM131165902

One idea that is often used in selection is that instead of choosing a random pivot element, we choose three random pivot elements and then use the median of these three as our pivot. What is the probability that a randomly chosen pivot element is in the middle half? What is the probability that the median of three randomly chosen pivot elements is in the middle half? Does this justify the choice of using the median of three as pivot?

Reference no: EM131165902

Questions Cloud

Solve your recurrence relation in big-? terms : Write a recurrence for T(n) in terms of T(n-1) by taking expected values in the equation that corresponds to your previous description of the time needed to use insertion sort on a particular array. Solve your recurrence relation in big-Θ terms.

Evaluate the reimbursement data in pay for performance : Evaluate the reimbursement data in pay for performance (650 -700 words, no plagiarism allowed, must use assigned references only).

Show that this recurrence has solution o(n) : Write this modified selection algorithm, give a recurrence for its running time, and show that this recurrence has solution O(n).

Difference between leading and lagging market indicators : Please discuss in your own words the difference between leading and lagging market indicators. Provide 2 examples of each.

Justify the choice of using the median of three as pivot : What is the probability that the median of three randomly chosen pivot elements is in the middle half? Does this justify the choice of using the median of three as pivot?

Information regarding the seafield resources : The following is some additional information regarding the Seafield Resources' mining opportunity mentioned in the chapter opener.

Would fall under mistake of judgement or mistake of fact : Jason told Polly that he wanted a refund. Polly told Jason the he was not entitled to a refund because she did not lie and as far as she knew, there was nothing wrong with the car. Is jason entitled to a refund? Would this fall under Mistake of Ju..

Create a set of use cases for the picnics r us system : Create a set of use cases for the following system: Picnics R Us (PRU) is a small catering firm with five employees. During a typical summer weekend, PRU caters 15 picnics with 20 to 50 people each.

Calculate the expected value and the variance of lisa income : Lisa just inherited a vineyard from a distant relative. In good years (when there is no rain during harvest season) she earns R100 000 from the sale of grapes from the vineyard. Calculate the expected value and the variance of Lisa's income from th..

User Account

All Pages