An experiment is conducted for which the sample space is S = {S₁,S2,S3,S4,S5}. Is the following probability assignment possible for this experiment? Outcomes Probabilities S₁ S2 1 1 4 5 0 0 S3 S4 S5 1 1 1 11 8 9 Is the probability assignment possible for this experiment? O A. No, because the probabilities are given as fractions instead of decimals. B. No, because none of the rules for an acceptable probability assignment are satisfied. C. No, because not all of the probabilities are between 0 and 1, inclusive. D. Yes, because both rules for an acceptable probability assignment are satisfied. E. No, because the sum of the probabilities of all possible outcomes is not 1.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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An experiment is conducted for which the sample space is S = {S₁,S2,S3,S4,S5}. Is the following probability assignment
possible for this experiment?
Outcomes
Probabilities
S₁ S2
1 1
4
5
S3
S5
1
1
1
8 9 11
SA
P4
Is the probability assignment possible for this experiment?
A. No, because the probabilities are given as fractions instead of decimals.
B. No, because none of the rules for an acceptable probability assignment are satisfied.
C. No, because not all of the probabilities are between 0 and 1, inclusive.
D. Yes, because both rules for an acceptable probability assignment are satisfied.
O E. No, because the sum of the probabilities of all possible outcomes is not 1.
Transcribed Image Text:An experiment is conducted for which the sample space is S = {S₁,S2,S3,S4,S5}. Is the following probability assignment possible for this experiment? Outcomes Probabilities S₁ S2 1 1 4 5 S3 S5 1 1 1 8 9 11 SA P4 Is the probability assignment possible for this experiment? A. No, because the probabilities are given as fractions instead of decimals. B. No, because none of the rules for an acceptable probability assignment are satisfied. C. No, because not all of the probabilities are between 0 and 1, inclusive. D. Yes, because both rules for an acceptable probability assignment are satisfied. O E. No, because the sum of the probabilities of all possible outcomes is not 1.
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