A quality control inspector, is checking a sample of light bulbs for defects. The following table summarizes her findings. (Write your answer as a reduced fraction.) wattage Good Defective total 20 80 15 95 50 100 5 105 100 120 10 130 total 300 30 330 If one of these light bulbs is selected at random, find the probability that the light bulb is i) Good given it is 100 watts ii) Defective given it is 50 watts iii) 100 watts given it is good iv) 50 watts given it is defective
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 quality control inspector, is checking a sample of light bulbs for defects. The following table summarizes her findings. (Write your answer as a reduced fraction.)
|
wattage |
Good |
Defective |
total |
|
20 |
80 |
15 |
95 |
|
50 |
100 |
5 |
105 |
|
100 |
120 |
10 |
130 |
|
total |
300 |
30 |
330 |
If one of these light bulbs is selected at random, find the
- i) Good given it is 100 watts
- ii) Defective given it is 50 watts
iii) 100 watts given it is good
- iv) 50 watts given it is defective
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