The probability distribution for the number of goals the Lions soccer team makes per game is given below. $$\begin{array} { c c }
\text { Number of Goals } & \text { Probability } \
\hline 0 & 0.05 \
1 & 0.15 \
2 & 0.35 \
3 & 0.30 \
4 & 0.15
\end{array}$$ The expected number of goals per game is?
A) 2
B) 2.35
C) 2.5
D) 3

Question

The probability distribution for the number of goals the Lions soccer team makes per game is given below.  $$\begin{array} { c c } 
\text { Number of Goals } & \text { Probability } \
\hline 0 & 0.05 \
1 & 0.15 \
2 & 0.35 \
3 & 0.30 \
4 & 0.15
\end{array}$$ The expected number of goals per game is?
A)  2
B)  2.35
C)  2.5
D)  3

Quizplus · Accepted Answer

The expected number of goals is calculated by multiplying each number of goals by its probability and summing the results: $0 \times 0.05 + 1 \times 0.15 + 2 \times 0.35 + 3 \times 0.30 + 4 \times 0.15 = 2.35$.

The Probability Distribution for the Number of Goals the Lions