The personnel department of Franklin National Life Insurance compiled the accomp

Question

The personnel department of Franklin National Life Insurance compiled the accompanying data regarding the income and education of its employees. Let A be the event that a randomly chosen employee has a college degree, and let B be the event that the chosen employee's income is more than $60,000. (a) Find each of the following probabilities. (Round your answers to four decimal places.) P(A) = p (B) = p (A Intersection B) = P(B|A) = P (B | A^c) = (b) Are the events A and 8 Independent events? Yes no

Explanation / Answer

P(A)=1170/4000= 0.2925

P(B)=1550/4000=0.3875

P(|AnB)=730/4000=0.1825

P(B|A) =730/1170=0.6239

P(B|Ac)=820/2830=0.2898

b)No

B <60000 >60000 Total non college 2010 820 2830 A college 440 730 1170 Total 2450 1550 4000

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