The Probability Distribution for the Number of Goals the Lions

question 5

Multiple Choice

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

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Definitions:

Standard Deviation

A way of measuring how much variety or distribution exists among numerical values.

Expected Value

In probability theory, a weighted average of all possible values of a random variable, reflecting its anticipated outcome.

Sample Proportion

A statistic that estimates the fraction of the population that has a certain trait, characteristic or behavior, calculated as the number of observations in the sample with that trait over the total sample size.

Probability

A measure of the likelihood that a particular event will occur, expressed as a number between 0 and 1.