Let X Be a Continuous Random Variable with a Cumulative $\mathrm { F } ( \mathrm { x } ) = 1 - \mathrm { e } ^ { - \mathrm { x } ^ { 2 } } ( \mathrm { x } \geq 0 )$

question 7

Multiple Choice

Let X be a continuous random variable with a cumulative distribution function $\mathrm { F } ( \mathrm { x } ) = 1 - \mathrm { e } ^ { - \mathrm { x } ^ { 2 } } ( \mathrm { x } \geq 0 )$ . Find $\operatorname { Pr } ( 1 \leq X \leq 2 )$

• A) \(\mathrm { e } ^ { - 1 }\) - \(e ^ { - 4 }\)
• B) \(\mathrm { e } ^ { - 1 }\) - \(e ^ { - 2 }\)
• C) 1 - \(\mathrm { e } ^ { - 1 }\) - \(e ^ { - 2 }\)
• D) \(\mathrm { e } ^ { - 1 }\) - \(e ^ { - 2 }\) - 2
• E) none of these

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