Binomial Probability: Defective Items
Not what you're looking for?
Martin Manufacturing produces cases for personal computers and other electronic equipment. The quality control inspection procedure is to select 6 items, and if there are 0 or 1 defective cases in the group of 6, the process is said to be in control. If the number of defects is more than 1, the process is out of control. Suppose that the true proportion of defective items is 0.15.
a. What is the probability that there will be 0 or 1 defects in a sample of 6 (i.e., that the process is in control)?
b. What is the probability that there will be more than 1 defect in a sample of size 6 (i.e., that the process is out of control)?
c. What is the probability that there will be exactly 2 defects in a sample of size 6?
Purchase this Solution
Solution Summary
The solution provides step by step method for the calculation of binomial probabilities. Formula for the calculation and Interpretations of the results are also included.
Solution Preview
Please see the attachments.
Probability
Martin Manufacturing produces cases for personal computers and other electronic equipment. The quality control inspection procedure is to select 6 items, and if there are 0 or 1 defective cases in the group of 6, the process is said to be in control. If the number of defects is more than 1, the process is out of control. Suppose that the true proportion of defective items is 0.15.
Answers
Let X be the number of defective items. Clearly X is binomial with n =6 and p ...
Purchase this Solution
Free BrainMass Quizzes
Measures of Central Tendency
Tests knowledge of the three main measures of central tendency, including some simple calculation questions.
Terms and Definitions for Statistics
This quiz covers basic terms and definitions of statistics.
Know Your Statistical Concepts
Each question is a choice-summary multiple choice question that presents you with a statistical concept and then 4 numbered statements. You must decide which (if any) of the numbered statements is/are true as they relate to the statistical concept.
Measures of Central Tendency
This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.