Calculate the mean for the discrete probability distribution shown here. $\begin{array}{l|cccc}
X & 1 & 6 & 8 & 10 \
\hline P(X) & 0.02 & 0.2 & 0.06 & 0.72
\end{array}$

A) 6.25
B) $2.225$
C) 25
D) $8.9$

Question

Calculate the mean for the discrete probability distribution shown here. $\begin{array}{l|cccc}
X & 1 & 6 & 8 & 10 \
\hline P(X) & 0.02 & 0.2 & 0.06 & 0.72
\end{array}$

A) 6.25
B) $2.225$
C) 25
D) $8.9$

Quizplus · Accepted Answer

The mean of a discrete probability distribution is calculated by summing the products of each value of the random variable (X) and its corresponding probability (P(X)). Thus, mean = $1(0.02) + 6(0.2) + 8(0.06) + 10(0.72) = 0.02 + 1.2 + 0.48 + 7.2 = 8.9$.

Calculate the Mean for the Discrete Probability Distribution Shown Here X16810P(X)0.020.20.060.72\begin{array}{l|cccc}X & 1 & 6 & 8 & 10 \\\hline P(X) & 0.02 & 0.2 & 0.06 & 0.72\end{array}XP(X)​10.02​60.2​80.06​100.72​​

Calculate the Mean for the Discrete Probability Distribution Shown Here $\begin{array}{l|cccc}X & 1 & 6 & 8 & 10 \\\hline P(X) & 0.02 & 0.2 & 0.06 & 0.72\end{array}$