Master Yoda selected n candidates to get Jedi training. Each candidate may or may not accept (with probability p of acceptance) to get the training to be a youngling. The probability of completing the training is s for each youngling (the ones who accepted to offer). Let X represent the number of younglings who completes the training, whereas Y denote the number of younglings who does not complete the training (i.e. the ones accepted the offer yet could not complete the training).
(a) Explicitly state the distribution of X including parameters. A clear verbal explanation will be suffice.
(b) Find the joint pmf of X and Y .
(a) Explicitly state the distribution of X including parameters. A clear verbal explanation will be suffice.
(b) Find the joint pmf of X and Y .