Let $f ( x ) = 8 x e ^ { - 4 x ^ { 2 } } , x > 0$

question 45

Multiple Choice

Let $f ( x ) = 8 x e ^ { - 4 x ^ { 2 } } , x > 0$ be the probability density function of a random variable X. Find the median of the probability density function $f$ .

• A) \(\frac { \ln \sqrt { 2 } } { 2 }\)
• B) \(\frac { \ln \sqrt { 3 } } { 2 }\)
• C) \(\frac { 1 } { 2 }\)
• D) \(\frac { 2 } { 3 }\)
• E) \(\frac { \ln 2 } { 2 }\)
• F) \(\frac { \sqrt { \ln 2 } } { 2 }\)
• G) \(\frac { \sqrt { \ln 2 } } { 4 }\)
• H) \(\frac { 1 } { 4 }\)

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