Question

Find the mean of the probability distribution: x P(x) 0 0.26 3 0.48 5 0.26 a. 1.30 b. 2.00 c. 2.74 d. 3.00

Answer 1

Answer: 2.74

Work Shown

`\begin{array}c \cline{1-2}\text{x} & \text{P(x)}\\\cline{1-2}0 & 0.26\\\cline{1-2}3 & 0.48\\\cline{1-2}5 & 0.26\\\cline{1-2}\end{array}`

Form a new column where we multiply x with P(x) for each row.

`\begin{array} \cline{1-3}\text{x} & \text{P(x)} & \text{x*P(x)}\\\cline{1-3}0 & 0.26 & 0\\\cline{1-3}3 & 0.48 & 1.44\\\cline{1-3}5 & 0.26 & 1.3\\\cline{1-3}\end{array}`

Add up the values in that third column: 0 + 1.44 + 1.3 = 2.74 is the mean.