34 Using the following table compute the probability that a

34. Using the following table, compute the probability that a person is a female and is Passed (show your work) 35. Using the same table, calculate the probability that the person is either a female OR is Failed (show your work)

Solution

P(person is female and passed) = (No.of passed females) / (Total no. of persons)

= (206) / (19 + 206 + 2 + 14)

= 206/241

= 0.8548

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P(person is female or failed) = P(Person is female) + P(Person is failed) - P(person is female and failed)

= (19 + 206) / (19 + 206 + 2 + 14) + (19 + 2) / (19 + 206 + 2 + 14) - (19) / (19 + 206 + 2 + 14)

= 227/241

= 0.9419