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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 S1 $₂ $3 1 1 1 3 Probabilities - 16 100 8 S4 $5 1 1 10 15 Is the probability assignment possible for this experiment? OA. No, because none of the rules for an acceptable probability assignment are satisfied. OB. No, because the sum of the probabilities of all possible outcomes is not 1. OC. No, because the probabilities are given as fractions instead of decimals. O D. Yes, because both rules for an acceptable probability assignment are satisfied. OE. No, because not all of the probabilities are between 0 and 1, inclusive.

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 S1 $₂ $3 1 1 1 3 Probabilities - 16 100 8 S4 $5 1 1 10 15 Is the probability assignment possible for this experiment? OA. No, because none of the rules for an acceptable probability assignment are satisfied. OB. No, because the sum of the probabilities of all possible outcomes is not 1. OC. No, because the probabilities are given as fractions instead of decimals. O D. Yes, because both rules for an acceptable probability assignment are satisfied. OE. No, because not all of the probabilities are between 0 and 1, inclusive.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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An experiment is conducted for which the sample space is S = {$₁,S2,S3,S4,S5}. Is the following probability assignment possible for this experiment? Outcomes S₁ $₂ $3 S4 $5 1 1 1 1 1 3 6 8 10 15 Probabilities Is the probability assignment possible for this experiment? O A. No, because none of the rules for an acceptable probability assignment are satisfied. OB. No, because the sum of the probabilities of all possible outcomes is not 1. OC. No, because the probabilities are given as fractions instead of decimals. O D. Yes, because both rules for an acceptable probability assignment are satisfied. OE. No, because not all of the probabilities are between 0 and 1, inclusive.
Transcribed Image Text:An experiment is conducted for which the sample space is S = {$₁,S2,S3,S4,S5}. Is the following probability assignment possible for this experiment? Outcomes S₁ $₂ $3 S4 $5 1 1 1 1 1 3 6 8 10 15 Probabilities Is the probability assignment possible for this experiment? O A. No, because none of the rules for an acceptable probability assignment are satisfied. OB. No, because the sum of the probabilities of all possible outcomes is not 1. OC. No, because the probabilities are given as fractions instead of decimals. O D. Yes, because both rules for an acceptable probability assignment are satisfied. OE. No, because not all of the probabilities are between 0 and 1, inclusive.
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