Question

find e if e = \sum x \cdot p(x).
e = \square (simplify your answer. round to three decimal places as needed.)

Explanation:

Step1: Calculate \(x\cdot P(x)\) for each \(x\)

For \(x = 0\): \(0\times0.301=0\)
For \(x = 1\): \(1\times0.444 = 0.444\)
For \(x = 2\): \(2\times0.219=0.438\)
For \(x = 3\): \(3\times0.036 = 0.108\)

Step2: Sum up the results

\(E=\sum[x\cdot P(x)]=0 + 0.444+0.438 + 0.108\)
\(E=0.99\)

Answer:

\(0.99\)