Which of the following properties of probability is not valid? A) The probabilit

Question

Which of the following properties of probability is not valid?

A) The probability of an event is always positive and less than one.

B) If E0 is an event which cannot occur in the sample space, the probability of E0 is zero.

C)If events E1 and E2 are mutually exclusively, then the probability of both events occurring is zero.

D) If events E1 and E2 are mutually exclusive, then P(E1 + E2) = P(E1) + P(E2) – P(E1E2).

E) The expected value of a discrete distribution of random variables does not have to be one of the distribution’s values.

Explanation / Answer

Answer: E

The expected value of a discrete distribution of random variables has to be one of the values distribution's value.

A. Probability of an event is always positive and less than one (0<p<1) . Its true.

B. If E0 is an event which cannot occur in the sample space, the probability of E0 is zero.P(Impossible event) = 0. So it is true

C. If events E1 and E2 are mutually exclusively, then the probability of both events occurring is zero. It is also true

D. If events E1 and E2 are mutually exclusive, then P(E1 + E2) = P(E1) + P(E2) – P(E1E2). It is true

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