Three prisoners, A, B, and C, are held in separate cells. Two are to be executed. The warder knowsspecifically who is to be executed, and who is to be freed, whereas the prisoners know only that twoare to be executed. Prisoner A reasons as follows: my probability of being freed is clearly until Ireceive further information. However, it is clear that at least one of B and C will be executed, so Iwill ask the warder to name one prisoner other than myself who is to be executed. Once I know whichof B and C is to be executed, either I will go free or the other, unnamed, prisoner will go free, withequal probability. Hence, by asking the name of another prisoner to be executed, I raise my chancesof survival from to. Investigate A's reasoning. [Hint: find the conditional probability that A isfreed, given that the warder names B to be executed.]

Given: The probability of prisoner A being freed is 13. The probability of prisoner B being freed is…

Answered: Three prisoners, A, B, and C, are held…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The department of code enforcement of a country government issues permits to general contractors to work on residential projects. For each permit issued, the department inspects the result of the project and gives a "pass" or "fail" rating. A failed project must be re-inspected until it receives a pass rating. The department had been frustrated by the high cost of re-inspection rate and decided to publish the inspection records of all contractors on the web. It was hoped that public access to the records would lower the re-inspection rate. A year after the web access was made public, two samples of records were randomly selected. One sample was selected from the pool of records before web publication and one after. The proportion of projects that passed on the first inspected was noted for each sample. The results are summarized below. No Public Web Access nį = 500, ĝ1 = 0.67 Public Web Access n2 = 100, p2 = 0.80 A test, at a 0.10 level of significance, is to be conducted as to whether…

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