Question: QUESTION 1 Classify the following random variable according to whether it is discrete or continuous. the number of bottles of juice sold in a cafeteria
QUESTION 1
- Classify the following random variable according to whether it is discrete or continuous.
- the number of bottles of juice sold in a cafeteria during lunch
- discretecontinuous
1 points
QUESTION 2
- Classify the following random variable according to whether it is discrete or continuous.
- the heights of the bookcases in a school library
- discretecontinuous
1 points
QUESTION 3
- Provide an appropriate response. Express your answer as a simplified fraction unless otherwise noted.
- Consider a political discussion group consisting of 7 Democrats, 6 Republicans, and 4 Independents. Suppose that two group members are randomly selected, in succession, to attend a political convention. Find the probability of selecting an Independent and then a Republican.
1 points
QUESTION 4
- Provide an appropriate response.
- A church has 8 bells in its bell tower. Before each church service 5 bells are rung in sequence. No bell is rung more than once. How many sequences are there?
- 6726,72033656
1 points
QUESTION 5
- Provide an appropriate response.
- A physical fitness association is including the mile run in its high school fitness test. The time for this event is known to possess a normal distribution with a mean of 470 seconds and a standard deviation of 60 seconds. Find the probability that a randomly selected high school student can run the mile in less than 332 seconds.
- 0.01070.51070.48930.9893
1 points
QUESTION 6
- Provide an appropriate response.
- A physical fitness association is including the mile run in its high school fitness test. The time for this event is known to possess a normal distribution with a mean of 450 seconds and a standard deviation of 60 seconds. Find the probability that a randomly selected high school student will take longer than 312 seconds to run the mile.
- 0.48930.01070.51070.9893
1 points
QUESTION 7
- Provide an appropriate response.
- A single die is rolled twice. The set of 36 equally likely outcomes is {(1, 1), (1, 2), (1, 3), (1, 4),(2, 3), (2, 4), (2, 5), (2, 6), (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6), (4, 1), (4, 2), (4, 3),(5, 3), (5, 4), (5, 5), (5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)}. Find the probability of getting two numbers whose sum is greater than 9 and less than 13.
- 0
1 points
QUESTION 8
- Provide an appropriate response.
- A(n)of a probability experiment is the collection of all outcomes possible.
- Event setPrediction setBernoulli spaceSample space
1 points
QUESTION 9
- Provide an appropriate response.
- According to insurance records a car with a certain protection system will be recovered 86% of the time. Find the probability that 5 of 9 stolen cars will be recovered.
- 0.860.140.0230.556
1 points
QUESTION 10
- Provide an appropriate response.
- Assume that male and female births are equally likely and that the birth of any child does not affect the probability of the gender of any other children. Find the probability of exactly three girls in ten births.
- 0.30.11715.0000.03
1 points
QUESTION 11
- Provide an appropriate response.
- Find the area under the standard normal curve between z = -1.25 and z = 1.25.
- 0.64120.78880.88170.2112
1 points
QUESTION 12
- Provide an appropriate response.
- Find the sum of the areas under the standard normal curve to the left of z = -1.25 and to the right of
- 0.10560.39440.78880.2112
1 points
QUESTION 13
- Provide an appropriate response.
- Given the table of probabilities for the random variable x, does this form a probability distribution? Answer Yes or No.
- x5101520P(x)0.10-0.300.500.70
- NoYes
1 points
QUESTION 14
- Provide an appropriate response.
- Given the table of probabilities for the random variable x, does this form a probability distribution? Answer Yes or No.
- x01234P(x)0.020.070.220.270.42
- NoYes
1 points
QUESTION 15
- Provide an appropriate response.
- In how many ways can a committee of three men and four women be formed from a group of 11 men and 11 women?
- 7,840,800554,40054,450110
1 points
QUESTION 16
- Provide an appropriate response.
- Suppose a brewery has a filling machine that fills 12 ounce bottles of beer. It is known that the amount of beer poured by this filling machine follows a normal distribution with a mean ofand a standard deviation of 0.04 ounce. Find the probability that the bottle contains fewer thanof beer.
- 0.00620.49380.99380.5062
1 points
QUESTION 17
- Provide an appropriate response.
- The sum of the probabilities of a discrete probability distribution must be
- less than or equal to zero.between zero and one.equal to one.greater than one.
1 points
QUESTION 18
- Provide an appropriate response.
- The table below represents a random sample of the number of deaths per 100 cases for a certain illness over time. If a person infected with this illness is randomly selected from all infected people, find the probability that the person dies 3-4 years after diagnosis. Express your answer as a simplified fraction and as a decimal rounded to three decimal places.
- ; 0.029; 0.538; 0.058; 0.35
1 points
QUESTION 19
- Provide an appropriate response.
- To win at LOTTO in a certain state, one must correctly select 6 numbers from a collection of 50 numbersthrough 50.) The order in which the selections is made does not matter. How many different selections are possible?
- 13,983,81672015,890,700300
1 points
QUESTION 20
- Provide an appropriate response.
- Use the spinner below to answer the question. Assume that it is equally probable that the pointer will land on any one of the five numbered spaces. If the pointer lands on a borderline, spin again.
- Find the probability that the arrow will land on 2 or 5.
- 2
1 points
QUESTION 21
- Provide an appropriate response.
- Use the spinner below to answer the question. Assume that it is equally probable that the pointer will land on any one of the five numbered spaces. If the pointer lands on a borderline, spin again.
- Find the probability that the arrow will land on an odd number.
- 10
1 points
QUESTION 22
- Provide an appropriate response.
- Which of the following cannot be the probability of an event?
- -230.0010
1 points
QUESTION 23
- Provide an appropriate response.
- Which of the following probabilities for the sample points A, B, and C could be true if A, B, and C are the only sample points in an experiment?
- P(A) = 0, P(B) = 1/3, P(C) = 2/3P(A) = 1/4, P(B) = 1/4, P(C) = 1/4P(A) = -1/4, P(B) = 1/2, P(C) = 3/4P(A) = 1/8, P(B) = 1/9, P(C) = 1/5
1 points
QUESTION 24
- Provide an appropriate response.
- You want to arrange 8 of your favorite CD's along a shelf. How many different ways can you arrange the CD's assuming that the order of the CD's makes a difference to you?
- 40,320565,04064
1 points
QUESTION 25
- Solve the problem.
- A bag contains 10 white, 12 blue, 13 red, 7 yellow, and 8 green wooded balls. A ball is selected from the bag, its color noted, then replaced. You then draw a second ball, note its color and then replace the ball. What is the probability of selecting 2 red balls? Round to the nearest ten-thousandth.
- 0.06240.52000.06760.2600
1 points
QUESTION 26
- Solve the problem.
- A single die is rolled twice. Find the probability of getting a 6 the first time and a 3 the second time. Express the probability as a simplified fraction.
1 points
QUESTION 27
- Solve the problem.
- Suppose that events E and F are independent, P(E) = 0.3 and P(F ) = 0.8. What is the P(E and F )?
- 0.861.10.0240.24
1 points
QUESTION 28
- Solve the problem.
- The table lists the drinking habits of a group of college students. If a student is chosen at random, find the probability of getting someone who is a regular or heavy drinker. Round your answer to three decimal places.
- 0.6830.2030.2360.139
1 points
QUESTION 29
- Solve the problem.
- The table lists the drinking habits of a group of college students. If a student is chosen at random, find the probability of getting someone who is a man or a non-drinker. Round your answer to three decimal places.
- 0.9130.8500.9460.942
1 points
QUESTION 30
- Solve the problem.
- You roll two dice and total the up faces. What is the probability of getting a total of 8 or two up faces that are the same? Round to the the nearest hundredth.
- 0.500.310.330.28
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