You work at a factory that manufactures light bulbs. You have determined that 5% of light bulbs that are produced are defective. For each of the scenarios below:

1. Define an appropriate random variable and distribution.
2. State the values that the random variable can take on.
3. State any assumptions that you need to make.
4. Find the probability that the random variable you defined takes on the value =4.

Part a)

Out of 30 lightbulbs, k are defective.

Part b)

You test each lightbulb as it comes off the line. The kth light bulb is defective.

Part c)

You find your second defective drive after observing k drives in all.