Question

The sample space of a random experiment is \{a, b, c, d, e, f\}, and each outcome is equally likely. A random variable is defined as follows: \begin{tabular}{|c|c|c|c|c|c|c|} \hline outcome & a & b & c & d & e & f \\ \hline x & 0 & 0 & 6.4 & 6.4 & 8 & 16 \\ \hline \end{tabular} Determine the probability mass function of $X$. Use the probability mass function to determine the following probabilities: [Give exact answers in form of fraction.] (a) $P(X = 6.4) = $ (b) $P(4.5 < X < 10.9) = $ (c) $P(X > 16) = $ (d) $P(0 \le X < 8) = $ (e) $P(X = 0 \text{ or } X = 8) = $

          The sample space of a random experiment is \{a, b, c, d, e, f\}, and each outcome is equally likely. A random variable is defined as
follows:
\begin{tabular}{|c|c|c|c|c|c|c|}
\hline
outcome & a & b & c & d & e & f \\
\hline
x & 0 & 0 & 6.4 & 6.4 & 8 & 16 \\
\hline
\end{tabular}
Determine the probability mass function of $X$. Use the probability mass function to determine the following probabilities:
[Give exact answers in form of fraction.]
(a) $P(X = 6.4) = $
(b) $P(4.5 < X < 10.9) = $
(c) $P(X > 16) = $
(d) $P(0 \le X < 8) = $
(e) $P(X = 0 \text{ or } X = 8) = $

$The sample space of a random experiment is {a, b, c, d, e, f}, and each outcome is equally likely. A random variable is defined as follows: outcome a b c d e f x 0 0 6.4 6.4 8 16 Determine the probability mass function of X. Use the probability mass function to determine the following probabilities: [Give exact answers in form of fraction.] (a) P(X = 6.4) = (b) P(4.5 < X < 10.9) = (c) P(X > 16) = (d) P(0 ≤ X < 8) = (e) P(X = 0 or X = 8) =$

Added by Roberto B.

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