Question

Number of complaints per day: 0 1 2 3 4 5 6 Probability: 0.02 0.08 0.19 0.24 0.27 0.11 0.09 Find the expected number of complaints per day

Answer 1

`3.35`

Step-by-step explanation

To find the expected number of complaints per day, we have to find the sum of the products of each number of complaints and their probabilities:

`E(X)=\sum ^{}_{}x_i\cdot P(x_i)`

Therefore, the expected number of complaints is:

`\begin{gathered} E(X)=(0\cdot0.02)+(1\cdot0.08)+(2\cdot0.19)+(3\cdot0.24)+(4\cdot0.27)+(5\cdot0.11)+ \\ (6\cdot0.09) \\ E(X)=0+0.08+0.38+0.72+1.08+0.55+0.54 \\ E(X)=3.35 \end{gathered}`

That is the answer.