An experiment is conducted for which the sample space is S= {8q,$2.S3,S4,S5}. Is the following probability assignment possible for this experiment? Outcomes S1 S2 S3 S4 S5 1 Probabilities 1 1 1 4 8 10 12 (.... Is the probability assignment possible for this experiment? O A. Yes, because both rules for an acceptable probability assignment are satisfied. O B. No, because the sum of the probabilities of all possible outcomes is not 1. O C. No, because not all of the probabilities are between 0 and 1, inclusive. D. No, because the probabilities are given as fractions instead of decimals. O E. No, because none of the rules for an acceptable probability assignment are satisfied.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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An experiment is conducted for which the sample space is S= {s, s, S,,s,S5}. Is the following probability assignment possible for this experiment?
Outcomes
S1
S2
S3
SA
$5
1
Probabilities
1
1
4
8
10
12
Is the probability assignment possible for this experiment?
O A. Yes, because both rules for an acceptable probability assignment are satisfied.
O B. No, because the sum of the probabilities of all possible outcomes is not 1.
O C. No, because not all of the probabilities are between 0 and 1, inclusive.
O D. No, because the probabilities are given as fractions instead of decimals.
O E. No, because none of the rules for an acceptable probability assignment are satisfied.
Transcribed Image Text:An experiment is conducted for which the sample space is S= {s, s, S,,s,S5}. Is the following probability assignment possible for this experiment? Outcomes S1 S2 S3 SA $5 1 Probabilities 1 1 4 8 10 12 Is the probability assignment possible for this experiment? O A. Yes, because both rules for an acceptable probability assignment are satisfied. O B. No, because the sum of the probabilities of all possible outcomes is not 1. O C. No, because not all of the probabilities are between 0 and 1, inclusive. O D. No, because the probabilities are given as fractions instead of decimals. O E. No, because none of the rules for an acceptable probability assignment are satisfied.
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