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Course: Statistics and probability?>?Unit 9
Lesson 7: Geometric random variables- Geometric random variables introduction
- Binomial vs. geometric random variables
- Probability for a geometric random variable
- Geometric probability
- Cumulative geometric probability (greater than a value)
- Cumulative geometric probability (less than a value)
- TI-84 geometpdf and geometcdf functions
- Cumulative geometric probability
- Proof of expected value of geometric random variable
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Geometric probability
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Problem
Fatima conducts emissions inspections on cars. She finds that of the cars fail the inspection. Let be the number of cars Fatima inspects until a car fails an inspection. Assume that the results of each inspection are independent.
Find the probability that the first failed inspection occurs on Fatima's inspection.
You may round your answer to the nearest hundredth.
You may round your answer to the nearest hundredth.