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Which of the following statements is true with regard to continuous random varia

ID: 3150898 • Letter: W

Question

Which of the following statements is true with regard to continuous random variables?

The height of the curve shows the probability of an event.

The probability distribution is always mound-shaped.

Probabilities of events are determined from areas under the curve.

The probability of exactly an event A occurring is always equal to one.

A.

The height of the curve shows the probability of an event.

B.

The probability distribution is always mound-shaped.

C.

Probabilities of events are determined from areas under the curve.

D.

The probability of exactly an event A occurring is always equal to one.

Explanation / Answer

The only true statement among these is option c as the probability of events are determined by the area under the curve as the total area under the normal curve = 1 and depending upon the event we can get the probability by getting its area under the curve of the distribution

hence option C is correct.

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