Concept explainers
In each of the following problems, the binomial distribution will be used. Answers may vary slightly depending on whether the binomial distribution formula, the binomial distribution table, or distribution results from a calculator or computer are used. Please answer the following questions and then complete the problem.
What makes up a trial? What is a success? What is a failure?
What are the values of n, p, and q?
30. Conditional
- (a) Based on questionnaires completed by the donors, it is believed that at least 6 of the 10 pints are usable. What is the probability that at least 8 of the pints are usable, given this belief is true? Compute P(8 ≤ r | 6 ≤ r).
- (b) Assuming the belief that at least 6 of the pints are usable is true, what is the probability that all 10 pints can be used? Compute P(r = 10 | 6 ≤ r).
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Understandable Statistics: Concepts and Methods
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