The number of newspapers that a certain newsboy is able to sell in a day is found to be a numerical-valued random phenomenon, with a probability function specified by the probability mass function p(.), given by
(i) Find the value of A that makes p(
), a probability mass function.
(ii) Sketch the probability mass function.
(iii) What is the probability that the number of newspapers that will be sold tomorrow is (a) more than 50, (b) less than 50, (c) equal to 50, (d) between 25 and 75, inclusive, (e) an odd number?
(iv) Denote, respectively, by A, B, C, and D, the events that the number of newspapers sold in a day is (a) greater than 50, (b) less than 50, (c) equal to 50, (d) between 25 and 75, inclusive. Find P[A|B], P[A|C], P[A|D], P[C|D]. Are A and B independent events? Are A and D independent events? Are C and D independent events?