5. At a light bulb factory, there are 1728 light bulbs that are ready to be packaged. A worker randomly pulls 60 light bulbs out and tests each one. Two light bulbs are found to be defective. a. Based on the information given, what is your best estimate for the number of defective light bulbs in the full batch of 1728 light bulbs? Explain your reasoning. b. If the light bulbs are put in boxes with 144 light bulbs in each box (in 12 packages of 12), then approximately how many defective light bulbs would you expect to find in a box? Explain your reasoning.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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5. At a light bulb factory, there are 1728 light bulbs that are ready to be packaged.
A worker randomly pulls 60 light bulbs out and tests each one. Two light bulbs
are found to be defective.
a. Based on the information given, what is your best estimate for the
number of defective light bulbs in the full batch of 1728 light bulbs?
Explain your reasoning.
b. If the light bulbs are put in boxes with 144 light bulbs in each box (in 12
packages of 12), then approximately how many defective light bulbs
would you expect to find in a box? Explain your reasoning.
Transcribed Image Text:5. At a light bulb factory, there are 1728 light bulbs that are ready to be packaged. A worker randomly pulls 60 light bulbs out and tests each one. Two light bulbs are found to be defective. a. Based on the information given, what is your best estimate for the number of defective light bulbs in the full batch of 1728 light bulbs? Explain your reasoning. b. If the light bulbs are put in boxes with 144 light bulbs in each box (in 12 packages of 12), then approximately how many defective light bulbs would you expect to find in a box? Explain your reasoning.
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