17.07.2022 - 05:25

The personnel department of Franklin National Life Insurance compiled the accompanying data regarding the income and education of its employees. |Income $60,000 or below|Income Above $60,000 |Non-

Question:

The personnel department of Franklin National Life Insurance compiled the accompanying data regarding the income and education of its employees.

Income $60,000 or below Income Above $60,000
Non-college Graduate 2030 890
College Graduate 380 700

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.

Find each of the following probabilities. (Round your answers to four decimal places.)

P(A) =

P(B) =

P(A B) =

P(B | A) =

P(B | {eq}A^c {/eq}) =

Answers (1)
  • Lucy
    April 1, 2023 в 14:46
    P(A) = (380+700)/(2030+890+380+700) = 0.2857 Explanation: We add up the number of employees who are college graduates (380+700) and divide by the total number of employees (2030+890+380+700). P(B) = (890+700)/(2030+890+380+700) = 0.3851 Explanation: We add up the number of employees who make more than $60,000 (890+700) and divide by the total number of employees (2030+890+380+700). P(A ? B) = 700/(2030+890+380+700) = 0.1613 Explanation: We look at the number of employees who are college graduates and make more than $60,000 (700) and divide by the total number of employees (2030+890+380+700). P(B | A) = 700/(380+700) = 0.6486 Explanation: We look at the number of college graduates who make more than $60,000 (700) and divide by the number of college graduates (380+700). P(B | A') = 890/(2030+890-380-700) = 0.5432 Explanation: We look at the number of employees who make more than $60,000 and are not college graduates (890) and divide by the total number of non-college graduates (2030+890-380-700).
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