Find the Mean, Variance, and Standard Deviation of the Uniform $f ( x ) = \frac { 1 } { 18 }$

question 32

Multiple Choice

Find the mean, variance, and standard deviation of the uniform distribution $f ( x ) = \frac { 1 } { 18 }$ over the interval [0, 18] without using integration.

• A) \(\begin{array} { l l }
• \text { expected value (mean) : } & 9.000 \\
• \text { variance: } & 27.000 \\
• \text { standard deviation: } & 5.196
• \end{array}\)
• B) \(\begin{array} { l l }
• \text { expected value (mean) : } & 27.000 \\
• \text { variance: } & 9.000 \\
• \text { standard deviation: } & 5.196
• \end{array}\)
• C) \(\begin{array} { l l }
• \text { expected value (mean) : } & 27.000 \\
• \text { variance: } & 5.196 \\
• \text { standard deviation: } & 9.000
• \end{array}\)
• D) \(\begin{array} { l l }
• \text { expected value (mean) } : & 5.196 \\
• \text { variance: } & 9.000 \\
• \text { standard deviation: } & 27.000
• \end{array}\)
• E) \(\begin{array} { l l }
• \text { expected value (mean) } & 9.000 \\
• \text { variance: } & 5.196 \\
• \text { standard deviation: } & 27.000
• \end{array}\)

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