Question

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 s2 s3 s4 s5 probabilities 0.68 - 0.17 0.33 0.14 0.02 is the probability assignment possible for this experiment? a. no, because not all of the probabilities are between 0 and 1, inclusive. b. no, because the sum of the probabilities of all possible outcomes is not 1. c. no, because the probabilities are given as decimals instead of fractions. d. yes, because both rules for an acceptable probability assignment are satisfied. e. no, because none of the rules for an acceptable probability assignment are satisfied.

Explanation:

Step1: Check the range of probabilities

In a probability assignment, each probability \(P(s_i)\) must satisfy \(0\leq P(s_i)\leq1\). Here, \(P(s_2)= - 0.17\) which is less than \(0\).

Step2: Conclusion

Since not all probabilities are between \(0\) and \(1\) (inclusive), the probability assignment is not possible.

Answer:

A. No, because not all of the probabilities are between 0 and 1, inclusive.