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(d) Compute the probabilities associated with finding no defects, exactly one defect, and two defects. (Round your answers to four decimal places.) P(no defects) = P(1 defect) = P(2 defects)

(d) Compute the probabilities associated with finding no defects, exactly one defect, and two defects. (Round your answers to four decimal places.) P(no defects) = P(1 defect) = P(2 defects)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Please answer part d

When a new machine is functioning properly, only 7% of the items produced are defective. Assume that we will randomly select two parts produced on the machine and that we are interested in the number of defective parts found. (a) Describe the conditions under which this situation would be a binomial experiment. (Select all that apply.) The parts must be selected independently. The probability of choosing a part that is defective must be 0.93. The selection of a part is dependent on the first part selected. For each part selected, the probability of a defective part being produced must be 0.07. The number of successes and failures in this experiment are equal. (b) Draw a tree diagram similar to this section's example showing this problem as a two-trial experiment. Tree Diagram Description Defective, Defective Defective Defective, Not Defective Defective Not Defective Defective Not Defective Not Defective, Defective Not Defective Not Defective, Not Defective <> O O D O
Transcribed Image Text:When a new machine is functioning properly, only 7% of the items produced are defective. Assume that we will randomly select two parts produced on the machine and that we are interested in the number of defective parts found. (a) Describe the conditions under which this situation would be a binomial experiment. (Select all that apply.) The parts must be selected independently. The probability of choosing a part that is defective must be 0.93. The selection of a part is dependent on the first part selected. For each part selected, the probability of a defective part being produced must be 0.07. The number of successes and failures in this experiment are equal. (b) Draw a tree diagram similar to this section's example showing this problem as a two-trial experiment. Tree Diagram Description Defective, Defective Defective Defective, Not Defective Defective Not Defective Defective Not Defective Not Defective, Defective Not Defective Not Defective, Not Defective <> O O D O
When a new machine is functioning properly, only 7% of the items produced are defective. Assume that we will randomly select two parts produced on the machine and that we are interested in the number of defective parts found. (a) Describe the conditions under which this situation would be a binomial experiment. (Select all that apply.) The parts must be selected independently. The probability of choosing a part that is defective must be 0.93. The selection of a part is dependent on the first part selected. For each part selected, the probability of a defective part being produced must be 0.07. The number of successes and failures in this experiment are equal. (b) Draw a tree diagram similar to this section's example showing this problem as a two-trial experiment. Tree Diagram Description • A tree diagram begins at a point and an upper and lower branch extend from this point to the right. From each of these two branches two more upper and lower branches extend to the right. Each of these branches end at a point. • The branches extending from the first point from top to bottom are labeled ? and Not Defective. The next set of branches from top to bottom are labeled ?, Not Defective, Defective, and ?. The final set of points are labeled from top to bottom ?, ?, ?, and ?. (c) How many experimental outcomes result in exactly one defect being found? In this scenario, will result in finding exactly one defect. two outcomes (d) Compute the probabilities associated with finding no defects, exactly one defect, and two defects. (Round your answers to four decimal places.) P(no defects) P(1 defect) %3D P(2 defects)
Transcribed Image Text:When a new machine is functioning properly, only 7% of the items produced are defective. Assume that we will randomly select two parts produced on the machine and that we are interested in the number of defective parts found. (a) Describe the conditions under which this situation would be a binomial experiment. (Select all that apply.) The parts must be selected independently. The probability of choosing a part that is defective must be 0.93. The selection of a part is dependent on the first part selected. For each part selected, the probability of a defective part being produced must be 0.07. The number of successes and failures in this experiment are equal. (b) Draw a tree diagram similar to this section's example showing this problem as a two-trial experiment. Tree Diagram Description • A tree diagram begins at a point and an upper and lower branch extend from this point to the right. From each of these two branches two more upper and lower branches extend to the right. Each of these branches end at a point. • The branches extending from the first point from top to bottom are labeled ? and Not Defective. The next set of branches from top to bottom are labeled ?, Not Defective, Defective, and ?. The final set of points are labeled from top to bottom ?, ?, ?, and ?. (c) How many experimental outcomes result in exactly one defect being found? In this scenario, will result in finding exactly one defect. two outcomes (d) Compute the probabilities associated with finding no defects, exactly one defect, and two defects. (Round your answers to four decimal places.) P(no defects) P(1 defect) %3D P(2 defects)
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