Concept explainers
a
Find the
a
Answer to Problem 111E
The probability distributions for Y is,
y | 0 | 1 | 2 |
Explanation of Solution
Calculation:
A hypergeometric probability distribution of random variable Y is,
Let Y is defined as the number among the three that do not conform to specifications. Ten thermistors are available, and three of these are to be selected for use, and two thermistors do not conform to specifications. That is,
The probability distribution of Y is,
For
For
For
Hence, the probability distributions for Y is,
y | 0 | 1 | 2 |
b
Find the probability distributions for Y.
b
Answer to Problem 111E
The probability distributions for Y is,
y | 0 | 1 | 2 | 3 |
Explanation of Solution
Calculation:
Let Y is defined as the number among the three that do not conform to specifications. Ten thermistors are available, and three of these are to be selected for use, and four thermistors do not conform to specifications. That is,
The probability distribution of Y is,
For
For
For
For
Hence, the probability distributions for Y is,
y | 0 | 1 | 2 | 3 |
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Chapter 3 Solutions
Mathematical Statistics with Applications
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageCollege Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning