Question

3 homework
question 20, 8.3.49
hw score: 85.23%, 18.75 of 22 points
points: 0 of 1
an experiment is conducted for which the sample space is ( s={s_1,s_2,s_3,s_4,s_5} ). is the following probability assignment possible for this experiment?

is the probability assignment possible for this experiment?
a. no, because the probabilities are given as decimals instead of fractions.
b. no, because none of the rules for an acceptable probability assignment are satisfied.
c. yes, because both rules for an acceptable probability assignment are satisfied.
d. no, because not all of the probabilities are between 0 and 1, inclusive.
e. no, because the sum of the probabilities of all possible outcomes is not 1.

Explanation:

Step1: Check if each probability is between 0 and 1

All the given probabilities \(0.23\), \(0.35\), \(0.08\), \(0.19\), \(0.15\) are between \(0\) and \(1\).

Step2: Calculate the sum of probabilities

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Answer:

C. Yes, because both rules for an acceptable probability assignment are satisfied.