Buses arrive at a stop via the Poisson process, and on average, one bus arrives every 10 minutes. The following answer the questions. (You must write down the formulas you will use when answering. Also, You must use terminology and symbols. Write at least 4 digits after the comma.) (a) What is the probability that at most 3 buses will arrive at the stop within 1 hour? (b) What is the probability that the time until the 4th bus arrives at the stop will be longer than 1 and a half hours?

If the spinner shown below is spun, find the probability of each event. Assume that the spinner never stops on a line. The spinner stops on orange.

Find the probability of each event. Rolling a sum of 11 on one roll of three dice

If the spinner shown below is spun, find the probability of each event. Assume that the spinner never stops on a line. The spinner stops on yellow.

Roulette American roulette is a game in which a wheel turns on a spindle and is divided into 38 pockets. Thirty-six of the pockets are numbered 1-36, of which half are red and half are black. Two of the pockets are green and are numbered 0 and 00 (see figure). The dealer spins the wheel and a small ball in opposite directions. As the ball slows to a stop, it has an equal probability of landing in any of the numbered pockets. (a) Find the probability of landing in the number 00 pocket. (b) Find the probability of landing in a red pocket. (c) Find the probability of landing in a green pocket or a black pocket. (d) Find the probability of landing in the number 14 pocket on two consecutive spins. (e) Find the probability of landing in a red pocket on three consecutive spins.

Determine if the statement is true or false. If the statement is false, then correct it and make it true. The probability of an impossible event is 1.