A proficiency examination for a certain skill was given to 100 employees of a fi

Question

A proficiency examination for a certain skill was given to 100 employees of a firm.Forty of the employees were men. Sixty of the employees passed the examination (by scoring above a present level for satisfactory performance.) The breakdow of test results among men and women are shown in the accompanying diagram.--------------------------------------------------------- -------------------------------------Male (M)---------------------------- Female(F)----------------------------------- Total------------------------------- Pass (P)-----------------------------24---------------------------------------36------------------------------------------60--------------------------------- Fail (F)-------------------------------16---------------------------------------24------------------------------------------40---------------------------------Total----------------------------------40---------------------------------------60-------------------------------------------100------------------------------ Suppose that an employee is selected at random from among the 100 who took the examination. a)Find the probability that the employee passed, given that he was a man. b) Find the probability that the employee was a man, given that a passing grade was received c)Is the event of passing the exam independent of the even of gender?Justify your answer

Explanation / Answer

I want to help u but the data is displayinf badly :( .--------------------------------------------------------- -------------------------------------Male (M)---------------------------- Female(F)----------------------------------- Total------------------------------- Pass (P)-----------------------------24---------------------------------------36------------------------------------------60--------------------------------- Fail (F)-------------------------------16---------------------------------------24------------------------------------------40---------------------------------Total----------------------------------40---------------------------------------60-------------------------------------------100---------------------------- im no able to understand !

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