Answer to Question #70354 in Statistics and Probability for Jester

Question

1. A given intersection in a small city allows for three possibilities. Drivers may continue straight, turn left, or turn right. The possibilities of these events are .50, .20, and .30, respectively. A researcher observes ten drivers at this intersection. What is the probability of seeing five drivers continue straight, two turn lefts and three turn right?
2. Past experience indicates that the ticket office at the rialto theatre receives a mean rate of 30 calls per hour. Find the probability that
a. during a ten minute coffee break, at most two will be received
b. during a twenty minute coffee break, at least two calls will be received
3. To avoid detection at customs, a traveler places 6 narcotic tablets in a bottle containing 9 vitamin pills that are similar in appearance. If the customs official selects 3 of the tablets at random for analysis, what is the probability that the traveler will be arrested for illegal possession of narcotics?