2. A newspaper has 3 1.1% of its reporters overseas. 17% of those are younger th

Question

2. A newspaper has 3 1.1% of its reporters overseas. 17% of those are younger than 30, while aw of its domestic staff are younger than 30. Make a probability tree or a partial one to help you analyze the situation. Round all answers to the nearest 10th of a % a. What is the chance that a randomly picked employee works within the USA? b. What is the chance that a randomly picked employee is overseas and is younger than 302 c. What is the chance that a randomly picked employee is overseas or is younger than 30? d. Given that an employee is younger than 30, what is the chance that he or she is overseas

Explanation / Answer

O: Overseas

Y: Younger than 30

P(O)=0.311

P(Y)=0.17

a) P(within USA)=1-P(O)=1-0.311=0.689

b) P(O and Y)=P(O)*P(Y) since the events are independent =0.311*0.17=0.05287

c) P(O or Y)=P(O)+P(Y)-P(O and Y)=0.311+0.17-0.05287=0.42813

d) P(O|Y)=P(O and Y)/P(Y)=0.05287/0.17=0.311

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