An event may contain sample points that are not in the original sample space of the experiment. For example, the experiment of rolling two dice has the following sample space:
(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 1), (2, 2), (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), (4, 4), (4, 5), (4, 6),
(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)
However, the event of rolling a sum of at least 11 on the two dice is 11, 12.
A) True B) False
Q. 2In any experiment with exactly four sample points in the sample space, the probability of each sample point is .25.
A) True B) False
Q. 3In some experiments, we assign subjective probabilities, which can be interpreted as our degree of belief in the outcome.
A) True B) False
Q. 4The probability of a sample point is usually taken to be the relative frequency of the occurrence of the sample point in a very long series of repetitions of the experiment.
A) True B) False
Q. 5A statistical experiment can be almost any act of observation as long as the outcome is uncertain.
A) True B) False
Q. 6An experiment consists of randomly choosing a number between 1 and 10. Let E be the event that the number chosen is even. List the sample points in E.
A) 5 B) 1, 3, 5, 7, 9
C) 2, 4, 6, 8, 10 D) 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
Q. 7Suppose that an experiment has five equally likely outcomes. What probability is assigned to each of the sample points?
A) .5 B) .05 C) .2 D) 1
Quick Reply
