Question

The following table shows the probability distribution for X. Find its expectation, variance and standard deviation. \begin{tabular}{|c|c|} \hline P(X = x) & x \\ \hline \frac{1}{12} & 0 \\ \frac{3}{12} & 5 \\ \frac{5}{12} & 15 \\ \frac{3}{12} & 20 \\ \hline \end{tabular}

          The following table shows the probability distribution for X. Find its expectation, variance and standard deviation.

\begin{tabular}{|c|c|}
\hline
P(X = x) & x \\
\hline
\frac{1}{12} & 0 \\
\frac{3}{12} & 5 \\
\frac{5}{12} & 15 \\
\frac{3}{12} & 20 \\
\hline
\end{tabular}

The following table shows the probability distribution for X. Find its expectation, variance and standard deviation.

P(X = x) x

(1)/(12) 0

(3)/(12) 5

(5)/(12) 15

(3)/(12) 20

Added by Michael C.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Nick Johnson

09/21/2022

Step 1

The expectation (mean) of a probability distribution is calculated by multiplying each value of x by its corresponding probability and then summing up the results. E(X) = Σ(x * P(X=x)) E(X) = 0*(1/12) + 5*(3/12) + 15*(5/12) + 20*(3/12) E(X) = 0 + 1.25 + 6.25 + Show more…

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The following table shows the probability distribution for x. Find its expectation, variance and standard deviation. able[[x,0,5,15,20],[P(x=x),(1)/(12),(3)/(12),(5)/(12),(3)/(12) P(X=x) variance and standard deviation. 512 The following table shows the probability distribution for X. Find its expectation,