Question 10(1 point)

Question 10 options:

The random variable X = the number of vehicles owned. Find the expected number of vehicles owned. Round answer to two decimal places.

Number of Courses ,x	0	1	2	3	4
Probability,P(X=x)	0.2	0.35	0.25	0.1	0.1

Answer:

Question 11(1 point)

Is the following table a valid discrete probability distribution?

x	-5	-2.5	0	2.5	5
P(X=x)	0.15	0.25	0.32	0.18	0.1

Question 11 options:

	Yes, since all the probabilities are between 0 and 1 and the probabilities add up to one.
	Yes, since all the x values add up to 0.
	No, since the probabilities do not add up to 1.
	No, since not all the values are between 0 and 1.

Question 12(1 point)

Does the following table represent a valid discrete probability distribution?

x	1	2	3	4	5
P(X=x)	0.16	0.01	0.25	0.11	0.66

Question 12 options:

	Yes
	No

Question 13(1 point)

Does the following table represent a valid discrete probability distribution?

x	-5	-2.5	0	2.5	5
P(X=x)	0.05	0.25	0.32	0.18	0.2

Question 13 options:

	yes
	no

Question 14(1 point)

Question 14 options:

A coffee shop serves an average of 72 customers per hour during the morning rush. Find the probability that less than 59 customers arrive in an hour during tomorrow's morning rush. Round answer to 4 decimal places. Answer:

Question 15(1 point)

Question 15 options:

The mean number of visitors at a national park in one weekend is 52. Assume the variable follows a Poisson distribution. Find the probability that there will be 58 visitors at this park in one weekend. (That is, find P(X=58) (Round answer to 4 decimal places) Answer:

Question 16(1 point)

Question 16 options:

The mean number of visitors at a national park in one weekend is 47. Assume the variable follows a Poisson distribution. Find the probability that there will be at most 55 visitors at this park in one weekend. (That is, find P(X 55)) (round to 4 decimal places) Answer:

Question 17(1 point)

Question 17 options:

A bank gets an average of 15 customers per hour. Assume the variable follows a Poisson distribution. Find the probability that there will be 11 or more customers at this bank in one hour. (That is, find P(X 11) (round to 4 decimal places) Answer:

Question 18(1 point)

Question 18 options:

Computer Help Hot Line receives, on average, 14 calls per hour asking for assistance. Assume the variable follows a Poisson distribution. What is the probability that the company will receive more than 20 calls per hour? Round answer to 4 decimal places. Answer:

Question 19(1 point)

The casino game, roulette, allows the gambler to bet on the probability of a ball, which spins in the roulette wheel, landing on a particular color, number, or range of numbers. The table used to place bets contains 38 numbers, and each number is assigned to a color and a range. What is the probability of winning when betting on two lines that touch each other on the table as in 1-2-3-4-5-6?

Question 19 options:

	6/38
	2/38
	5/38
	4/38

Question 20(1 point)

You see a game at a local fair. You have to throw a dart at a color wheel. Each section on the color wheel is equal in area.

Let B = the event of landing on blue. Let R = the event of landing on red. Let G = the event of landing on green. Let Y = the event of landing on yellow. If you land on Y, you get the grand prize.

Find P(Y).

Question 20 options:

	0.18
	0.125
	0.25
	0.8