The Uniform Distribution

The number of tickets purchased by an individual for Beckham colleges holiday music festival is uniformly distributed random variable ranging from 5 to 12. What is the standard deviation?

Correct answer:

σ =  2.0207

Step-by-step explanation:

$$\begin{gathered} a=5 \\ b=12 \\ \mu =\frac{a+b}{2}=\frac{5+12}{2}=\frac{17}{2}=8\frac{1}{2}=8.5 \\ \sigma =\sqrt{\frac{(b-a{)}^2}{12}}=\sqrt{\frac{(12-5{)}^2}{12}}=2.0207 \end{gathered}$$

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