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Out of 493 applicants for job, 217 have over five years of experience and 52 have over five years of experience and have a graduate degree.Consider that 73 of the applicants have graduate degrees. What is the probability that a randomly chosen applicant has over five years of experience given that the applicant has a graduate degree? Enter a fraction or Round your answer to four decimal places if necessary

Out Of 493 Applicants For Job 217 Have Over Five Years Of Experience And 52 Have Over Five Years Of Experience And Have A Graduate DegreeConsider That 73 Of The class=

Answer :

SOLUTION

So we have the probability that a a person has five years of experience given that the applicant has a graduate degree to be P(F | G)

The probability that the person has over five years of experience and a graduate degree as P(F n G)

The probability that the person is a graduate or has graduate degree as P(G)

So we have

[tex]\begin{gathered} P(F|G)=\frac{P(F\cap G)}{P(G)} \\ =\frac{\frac{52}{493}}{\frac{73}{493}} \\ =\frac{52}{493}\times\frac{493}{73} \\ =\frac{52}{73} \\ =0.71232876 \end{gathered}[/tex]

Hence the answer to four decimal places is 0.7123

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