A Random Variable X Is Exponentially Distributed with a Mean $\operatorname { Pr } ( 0 \leq x \leq a ) = 0.75$

question 6

Multiple Choice

A random variable X is exponentially distributed with a mean of 10. Determine a so that $\operatorname { Pr } ( 0 \leq x \leq a ) = 0.75$

• A) a = ln 0.75
• B) a = \(\frac { 1 } { 10 }\)
• C) a = \(\frac { 1 } { 10 }\) ln 4
• D) a = ln \(\frac { 3 } { 4 }\)
• E) none of these