Accident. On an average nearly 3 accidents happen per second in a certain city. Let us denote the number of deaths that occur in an accidents per second as X.

a. Identify the possible values of the random variable X.

b. Determine the probability distribution of X. (Hint: There are 9 possible equally likely outcomes. One is DAA, meaning the first died and the next two survived in the accident.)

Use random-variable notation to represent each of the following events. Also use the special addition rule and the probability distribution obtained in part

(b) to determine each event’s probability. The accident has

c. exactly two deaths.

d. at least two deaths.

e. at most two deaths.

f. between one and three deaths, inclusive.

g. either all die or all survive.