Chapter 04, Section 4.2, Problem 026 In a large city, 16,000 workers lost their

Question

Chapter 04, Section 4.2, Problem 026 In a large city, 16,000 workers lost their jobs last year. of them, 7500 lost their jobs because their companies closed down or moved, 4200 lost their jobs due to insufficient work, and the remainder lost their jobs because their positions were abolished. a. If one of these 16,000 workers is selected at random, find the probability that this worker lost his or her job because the company closed down or moved. Round your answer to three decimal places. the absolute tolerance is +/-0.001 236 PM rch F12 Ee . F9: F10 ? F11

Explanation / Answer

Total number of workers who lost their jobs=16,000

Numbers of workers who lost their jobs because their companies closed down or moved=7,500

Numbers of workers who lost their jobs due to insufficient work=4200

Numbers of workers who lost their job because their positions were abolished=16,000-(7,500+4,200)

Numbers of workers who lost their job because their positions were abolished=16,000-11,700=4,300

If one of these 16,000 workers is selected at random, the probability that this worker lost his or her job because the company closed down or moved is:

P(worker lost his or her job because the company closed down or moved)=Numbers of workers who lost their jobs because their companies closed down or moved/Total number of workers who lost their jobs

P(worker lost his or her job because the company closed down or moved)=7500/16000=75/160=0.46875

Now ,rounding up to 3 decimal places,

P(worker lost his or her job because the company closed down or moved)=0.469

If one of these 16,000 workers is selected at random, the probability that this worker lost his or her job because the company closed down or moved is 0.469

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