In: Statistics and Probability
2. Suppose a bin contains 20 manufactured parts and 4 of them are defective. Pick 3 parts randomly from the bin, with replacement and let X be the number of defective parts picked. Pick parts repeatedly from the bin, with replacement, and let Y be the number of picks until the first defective part is observed. Find the probability mass functions for X and Y .
3. Suppose a bin contains 20 manufactured parts and 4 of them are defective. Pick 3 parts randomly from the bin, without replacement and let X be the number of defective parts picked. Replace the 3 parts you just picked. Then pick parts repeatedly from the bin, without replacement, and let Y be the number of picks until the first defective part is observed. Find the probability mass functions for X and Y