Find the Value of the Constant K So That the Given

question 16

Multiple Choice

Find the value of the constant k so that the given function in a probability density function for a random variable over the
specified interval.
- $f ( x ) = 6 e ^ { - 5 x }$ over $[ 0 , k ]$

• A) \(\frac { 1 } { 5 } \ln \frac { 5 } { 6 }\)
• B) \(- \frac { 1 } { 5 } \ln \frac { 11 } { 6 }\)
• C) \(\frac { 1 } { 5 } \ln 6\)
• D) \(e ^ { - 5 x } \ln 6\)

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