Below are the results of rolling a pair of dice 10 times. What is the experimental probability of obtaining a sum of four?
(1, 5) (2, 3) (1, 4) (3, 6) (2, 2) (6, 1) (5, 2) (6, 5) (3, 5) (1, 3)
1.1/10
2.0
3.1/18
4.1/5
Q. 2Below are the results of rolling a pair of dice 10 times. What is the empirical probability of obtaining a sum that is odd?
(1, 5) (2, 3) (1, 4) (3, 6) (2, 2) (6, 1) (5, 2) (6, 5) (3, 5) (1, 3)
1.3/5
2.1/2
3.2/5
4.2/3
Q. 3Each time a class meets, the professor selects one student at random to explain the solution to a homework problem. There are 60 students in the class, and no one ever misses class. Luke is one of these students. What is the probability that Luke is selected both of the next two times that the class meets?
1.0.00028
2.0.03333
3.0.5
4.0.01724
5.0.00015
Q. 4Suppose you want to estimate the probability that a randomly selected customer at a particular grocery store will pay by credit card. Over the past 3 months, 70,600 purchases were made, and 22,200 of them were paid for by credit card. What is the estimated probability that a randomly selected customer will pay by credit card?
1.0.3144
2.0.5391
3.0.7233
4.0.8548
5.0.8633
Q. 5Suppose you want to estimate the probability that a patient will develop an infection while hospitalized at a particular hospital. In the past year, this hospital had 8,650 patients, and 812 of them developed an infection. What is the estimated probability that a patient at this hospital will develop an infection?
1. P(the patient develops an infection) = 1/812
2. P(the patient develops an infection) = 1/8,650
3. P(the patient develops an infection) = 812/8,650
4. P(the patient develops an infection) = 5,738/8,650
5. P(the patient develops an infection) = 812/5,738
Q. 6The faces of a twelve-sided die are numbered with the numbers 1 through 12. If you roll this die 600 times, how many nines do you expect to roll?
1.about 67
2.about 50
3.about 60
4.about 100
5.none
Q. 7An airline reports that for a particular flight operating daily between Phoenix and Atlanta, the probability of an on-time arrival is 0.64. Give a relative frequency interpretation of this probability.
1.In the long run, 0.64 of the time this particular flight that flies between Phoenix and Atlanta will arrive on time.
2.In the long run, 36 of the time this particular flight that flies between Phoenix and Atlanta will arrive on time.
3.In the long run, 64 of the time this particular flight that flies between Phoenix and Atlanta will arrive on time.
4.In the long run, 64 of the time this particular flight that flies between Phoenix and Atlanta will not arrive on time.
5.In the long run, 64 of the time this particular flight that flies between Phoenix and Atlanta will arrive earlier than expected.
Q. 8A box contains 6 marbles: 3 yellow, 1 red, and 2 blue. Two marbles are drawn without replacement. Each of the eight possible outcomes are equally likely since the marbles are drawn randomly.
1.True
2.False
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