An experiment is conducted for which the sample space is Ss1,82.83 S4.85> Is the

Question

An experiment is conducted for which the sample space is Ss1,82.83 S4.85> Is the following probability assignment possible for this experiment? is S = {s1 ,S2 ,s3,S4 ,S5} . Is the following probability assign 4 5 6 10 15 Is the probability assignment possible for this experiment? 0 A. 0 B. ° C. 0 D. E. No, because not all of the probabilities are between 0 and 1. Yes, because both rules for an acceptable probability assignment are satisfied. No, because none of the rules for an acceptable probability assignment are satisfied. No, because the sum of the probabilities of all possible outcomes is not 1. No, because the probabilities are given as fractions instead of decimals.

Explanation / Answer

Rules followed for probability assignment are

The sum of all probabilities of a sample space must be equal to 1

The probabilities must be positive

Here all probabilities are "positive"

Sum = 1/4 + 1/5 + 1/6 + 1/10 + 1/15 = 0.783333

Therefore sum is not equal to 1

So correct option is D

I.e sum of probabilities are not equal to 1

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