Stuck again on disributions
I have another question. Again I'm in a college probability class studying multivarate distributions.
Here goes:
In a clinical study of a new drug formulated to reduce the effects of arthritis, researchers found that the proportion p of patients who respond favourably to the drug is a random variable that varies from batch to batch of the drug. Assume that p has a probability density function given by
f(p)={12*(p^(2))*(1-p), whenever p is between 0 and 1 inclusive
{0, whenever p is elsewhere.
Suppose that n patients are injected with portions of the drug taken from the same batch. Let Y denote the number showing a favourable response.
(A) Find the unconditional probability distribution of Y for general n.
(B) Find E(Y) for n = 2.
I'm confused because there's no Y1 and Y2. I would love any help.