a certain machine produces bulbs and were examined for the number of defectives in a sample of 14. The following tables shows the distribution the number of defective items contained in 139 Samples: Number of Defectives in a Sample of 14 Number of Samples 0 7 1 8 2 20 3 21 4 35 5 30 6 12 7 1 8 5 Required: Fit a binomial distribution and find the expected frequencies if the changes of machine being defective is 0.5
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
a certain machine produces bulbs and were examined for the number of defectives in a sample of 14. The following tables shows the distribution the number of defective items contained in 139 Samples:
| Number of Defectives in a Sample of 14 | Number of Samples |
| 0 | 7 |
| 1 | 8 |
| 2 | 20 |
| 3 | 21 |
| 4 | 35 |
| 5 | 30 |
| 6 | 12 |
| 7 | 1 |
| 8 | 5 |
Required: Fit a binomial distribution and find the expected frequencies if the changes of machine being defective is 0.5
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