a. Bernoulli trial is an "experiment" with two possible outcomes. One outcome (called "success") occurs with probability p and the other outcome (called "failure") occurs with probability 1 - p. An example of a Bernoulli trial is the tossing of a coin: one outcome is "heads", the other is "tails". Let x be a random variable which takes the value 1 for success and 0 for failure. Assuming p to be the probability of success. Calculate (x), (x2), and ox. b. The binomial distribution is the discrete probability distribution of getting k successes from n independent Bernoulli trials. Calculate (k), (k2), and show that or = np(1 - p). C. In the case of coin tossing with a fair coin. Find the excepted number of heads, the standard deviation, and the fractional width -k for ( k ) (i) n= 16 tosses (ii) n=1020 tosses. Comment your