When a new machine is functioning properly, only 6% of the items produced are defective. Assume that we will randomly select two parts produced on the machine and tha ve 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.) O For each part selected, the probability of a defective part being produced must be 0.06. The parts must be selected independently. O The selection of a part is dependent on the first part selected. O The number of successes and failures in this experiment are equal. O The probability of choosing a part that is defective must be 0.94. (b) Draw a tree diagram similar to this section's example showing this problem as a two-trial experiment. Tree Diagram Description ---Select--- ---Select--- ---Select--- ---Select--- Not Defective Defective ---Select--- Not Defective ---Select--- ---Select---
When a new machine is functioning properly, only 6% of the items produced are defective. Assume that we will randomly select two parts produced on the machine and tha ve 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.) O For each part selected, the probability of a defective part being produced must be 0.06. The parts must be selected independently. O The selection of a part is dependent on the first part selected. O The number of successes and failures in this experiment are equal. O The probability of choosing a part that is defective must be 0.94. (b) Draw a tree diagram similar to this section's example showing this problem as a two-trial experiment. Tree Diagram Description ---Select--- ---Select--- ---Select--- ---Select--- Not Defective Defective ---Select--- Not Defective ---Select--- ---Select---
Chapter2: Mathematics For Microeconomics
Section: Chapter Questions
Problem 2.15P
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