Employment data at a large company reveal that 56% of the workers are married, 1

Question

Employment data at a large company reveal that 56% of the workers are married, 17% are college graduates, and one half of the college grads are married. What is the probability that a randomly chosen worker is

a) What is the probability that a randomly chosen worker is married or a college graduate? (Round to three decimal places as needed.)

b) What is the probability that a randomly chosen worker is married but not a college graduate? (Round to three decimal places as needed.)

c) What is the probability that a randomly chosen worker is neither married nor a college graduate? (Round to three decimal places as needed.)

Explanation / Answer

Ans:

Given that

P(married)=0.56

P(college graduate)=0.17

P(married/college graduate)=0.5

P(college graduate and married)=0.5*0.17=0.085

a)

P(married or college graduate)=P(married)+P(college graduate)-P(college graduate and married)

=0.56+0.17-0.085

=0.645

b)P(married but not college graduate)=P(married)-P(college graduate and married)

=0.56-0.085=0.475

c)P(neither married nor a college graduate)=1-P(married or college graduate)

=1-0.645

=0.355

Related Questions

Navigate

• Browse (All)
• Browse E
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.