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1.Which of the following statements are always true? The complement of an event

ID: 3181473 • Letter: 1

Question

1.Which of the following statements are always true?

The complement of an event A, denoted by A', is the set of all outcomes in the sample space that are not contained in A.

The event consists of all simple events that are contained in both events.

The event A and B consists of all simple events that are contained in either A or B.

All of the above

None of the above

2.Which of the following statements are true regarding the general properties of sampling distributions?

The sampling distribution of a statistic often tends to be centered at the value of the population parameter estimated by the statistic.

The spread of the sampling distributions of many statistics tends to grow smaller as the sample size n increases.

As the sample size increases, sampling distributions of many statistics become more and more bell-shaped (more and more like normal distributions)

All of the above

None of the above

a.

The complement of an event A, denoted by A', is the set of all outcomes in the sample space that are not contained in A.

b.

The event consists of all simple events that are contained in both events.

c.

The event A and B consists of all simple events that are contained in either A or B.

d.

All of the above

e.

None of the above

Explanation / Answer

1) The following all above statements are true for the event

Answer is Option D)

2) All the properties of sampling distribution are true

Answer is Option D)