Task:
Discuss the following:
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.