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The personnel department of Franklin National Life Insurance compiled the accomp

ID: 3067417 • Letter: T

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.)

Income
    $60,000 or Below     Income
    Above $60,000     Noncollege Graduate     2050 870 College Graduate 360 720

Explanation / Answer

qa
total employees = 4000
college graduates = 1080

P[A] = 108/400

P[B] = 1590/4000

P[AnB] = 72/400


P[B | A] = P[AnB] / P[A]
= 72/ 108

P[BnAc] = 870/4000

P[B | Ac] = 87/159

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