Solution Found!
Use the given table, which lists six possible assignments
Chapter 5, Problem 39E(choose chapter or problem)
Use the given table, which lists six possible assignments of probabilities for tossing a coin twice, to answer the following questions.
\(\begin{array}{ccccr} & {\text { Sample Space }} \\ \text { Assignments } & \text { HH } & \text { HT } & \text { TH } & \text { TT } \\ \hline \text { A } & \frac{1}{4} & \frac{1}{4} & \frac{1}{4} & \frac{1}{4} \\ \hline \text { B } & 0 & 0 & 0 & 1 \\ \hline \text { C } & \frac{3}{16} & \frac{5}{16} & \frac{5}{16} & \frac{3}{16} \\ \hline \text { D } & \frac{1}{2} & \frac{1}{2} & -\frac{1}{2} & \frac{1}{2} \\ \hline \text { E } & \frac{1}{4} & \frac{1}{4} & \frac{1}{4} & \frac{1}{8} \\ \hline \text { F } & \frac{1}{9} & \frac{2}{9} & \frac{2}{9} & \frac{4}{9} \end{array}\)
Which of the assignments of probabilities are consistent with the definition of a probability model?
Questions & Answers
QUESTION:
Use the given table, which lists six possible assignments of probabilities for tossing a coin twice, to answer the following questions.
\(\begin{array}{ccccr} & {\text { Sample Space }} \\ \text { Assignments } & \text { HH } & \text { HT } & \text { TH } & \text { TT } \\ \hline \text { A } & \frac{1}{4} & \frac{1}{4} & \frac{1}{4} & \frac{1}{4} \\ \hline \text { B } & 0 & 0 & 0 & 1 \\ \hline \text { C } & \frac{3}{16} & \frac{5}{16} & \frac{5}{16} & \frac{3}{16} \\ \hline \text { D } & \frac{1}{2} & \frac{1}{2} & -\frac{1}{2} & \frac{1}{2} \\ \hline \text { E } & \frac{1}{4} & \frac{1}{4} & \frac{1}{4} & \frac{1}{8} \\ \hline \text { F } & \frac{1}{9} & \frac{2}{9} & \frac{2}{9} & \frac{4}{9} \end{array}\)
Which of the assignments of probabilities are consistent with the definition of a probability model?
ANSWER:Step 1 of 2
Our goal is:
We need to find which of the assignments of probabilities are consistent with the definition of a probability model.
The tossing a coin twice table is given below.
\(\begin{array}{ccccr} & {\text { Sample Space }} \\ \text { Assignments } & \text { HH } & \text { HT } & \text { TH } & \text { TT } \\ \hline \text { A } & \frac{1}{4} & \frac{1}{4} & \frac{1}{4} & \frac{1}{4} \\ \hline \text { B } & 0 & 0 & 0 & 1 \\ \hline \text { C } & \frac{3}{16} & \frac{5}{16} & \frac{5}{16} & \frac{3}{16} \\ \hline \text { D } & \frac{1}{2} & \frac{1}{2} & -\frac{1}{2} & \frac{1}{2} \\ \hline \text { E } & \frac{1}{4} & \frac{1}{4} & \frac{1}{4} & \frac{1}{8} \\ \hline \text { F } & \frac{1}{9} & \frac{2}{9} & \frac{2}{9} & \frac{4}{9} \end{array}\)