A manufacturer of balloons finds that 3.0% of its balloons fail quality-control testing. a) What is...
A manufacturer of balloons finds that 3.0% of its balloons fail
quality-control testing.
a) What is the probability that one of the first five balloons
tested will be defective?
b) What is the expected waiting time for a defective balloon?
Homework Answers
The output is:
| 5 | n | |
| 0.03 | p | |
| cumulative | ||
| X | P(X) | probability |
| 0 | 0.85873 | 0.85873 |
| 1 | 0.13279 | 0.99153 |
| 2 | 0.00821 | 0.99974 |
| 3 | 0.00025 | 1.00000 |
| 4 | 0.00000 | 1.00000 |
| 5 | 0.00000 | 1.00000 |
| 1.00000 | ||
| 0.150 | expected value | |
| 0.146 | variance | |
| 0.381 | standard deviation |
a) What is the probability that one of the first five balloons tested will be defective?
The probability is 0.13279.
b) What is the expected waiting time for a defective balloon?
Expected waiting time = 0.150
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