# Negative Binomial Distribution

For each example state whether or not the negative binomial distribution is appropriate, briefly explain why or why not.

1. Number of cars passing along a road until five red cars have passed.

2. Number of cars passing along a road until five commercial vehicles have passed.

3. Number of cars passing along a road until five have passed with at least one of the letters X, Y, Z in their number plate.

4. Number of cars passing along a road until 5 have passed containing only the driver.

5. Number of people who enter a shop until 5 men have entered.

6. Number of children entering a school until 5 enter with glasses have entered.

7. Number of tosses of a coin until 5 tails have appeared.

8. Number of cards dealt from a pack of 52 cards until there are 5 black cards.

https://brainmass.com/statistics/probability/negative-binomial-distribution-174278

#### Solution Preview

** Please see the attached file for the complete solution response **

1 Yes Meets all the conditions (*) of a Negative Binomial Distribution

2 No Here, the success (5 commercial vehicles) depends upon something else, that is cars.

3 No The number of cars with letters X, Y or Z is limited. The probability of a second car having one of these letters is not the same as that of the ...

#### Solution Summary

This solution provides a detailed step by step solution to the given statistics problem regarding negative binomial distribution.