Find the Constant $k$ Such That the Function $f ( x ) = k e ^ { - \frac { 9 } { 7 } x }$

question 65

Multiple Choice

Find the constant $k$ such that the function $f ( x ) = k e ^ { - \frac { 9 } { 7 } x }$ is a probability density function over the interval $[ 0 , \infty ]$ .

• A)1
• B) \(\frac { 7 } { 9 }\)
• C) \(- \frac { 7 } { 9 }\)
• D) \(- \frac { 9 } { 7 }\)
• E) \(\frac { 9 } { 7 }\)

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