1. DPDs Examples

2. prepared by: Rose Ann V. Sale1
Binomial
Of all new vehicles of a certain model that are sold, 20% require repairs to be done under warranty during the first year of service. A particular dealership sells 14 such vehicles.
What is the probability that fewer than five of them require warranty?
What is the probability that more than 2 of the 14 vehicles require warranty repairs?
prepared by: Rose Ann V. Sale

3. prepared by: Rose Ann V. Sale2
Geometric
In a certain manufacturing process it is known that, on the average, 1 in every 100 items is defective. What is the probability that the fifth item inspected is the first defective item found?
prepared by: Rose Ann V. Sale

4. prepared by: Rose Ann V. Sale3
Hypergeometric
A box contains 6 blue marbles and 4 red marbles. An experiment is performed in which a marble is chosen at random and its color is observed, but the marble is not replaced.
Find the probability that after 5 trials of the experiment, 3 blue marbles will have been chosen.
prepared by: Rose Ann V. Sale

5. prepared by: Rose Ann V. Sale4
Negative
The probability that a person, living in a certain city, owns a dog is estimated to be 0.3.
Find the probability that the tenth person randomly interviews in that city is the fifth one to own a dog.
prepared by: Rose Ann V. Sale

6. prepared by: Rose Ann V. Sale5
Negative/Geometric
Find the probability that a person flipping a coin gets
The third head on the seventh flip
The first head on the fourth flip
prepared by: Rose Ann V. Sale

7. prepared by: Rose Ann V. Sale6
Multinomial
According to USA Today, of 4 million workers in the general workforce back in 1997, 0.8% tested positive for drugs. Of those positive, 22.5% were cocaine users and 54.4% marijuana users.
What is the probability that of 10 workers testing positive, 2 are cocaine users, 5 marijuana users, and 3 users of other drugs?
What is the probability that of 10 workers testing positive, all are marijuana users?
prepared by: Rose Ann V. Sale