solve please

2. If 12 balls are thrown at random into 20 boxes, what is the probability that no box will receive more than one ball. Assume that each throw independent of all the others, and each throw equally likely to land into any of the boxes. 3. If A is a subset of B, with the probability of B greater than 0, what is HAIR)? If A and B are disjoint, with the probability 3 greater than 0, what is the value of PfAlB)? If S is the sample space of an experiment, and A is an event, what is P(A|S)? You may express your answers in terms of PM) and P(B). 4. Suppose thank], X2, .. ., X. form a random sample from a distribution with density mctionx) = Be'h. Determine the maximum likelihood estimate of 9. 5. Suppose that a random variable with support on the positive real numbers, and that for positive 1:, the probability density function of the random variable is as\