If the Random Variable X Is Exponentially Distributed with Parameter $\lambda$

question 14

Multiple Choice

If the random variable X is exponentially distributed with parameter $\lambda$ = 1.75, then P(1.5 $\le$ X $\le$ 3.8) , up to 4 decimal places, is:

• A) \( 0.0711 . \)
• B) \( 0.0473 \).
• C) \( 0.1184 . \)
• D) \( 0.4739 \).

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Definitions:

Outcome

The result or effect of an action, situation, or event.

Fulfilled

The feeling or state of being satisfied or completed, especially in terms of meeting one’s needs or achieving one’s goals.

Needs

The requirements necessary to maintain life and achieve personal fulfillment.

Actualize

To make actual or real; the process of realizing or achieving one's full potential or capabilities.