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

question 23

Multiple Choice

If the random variable X is exponentially distributed with parameter $$\lambda$$ = 4, then the probability P(X $$\leq$$ 0.25) , up to 4 decimal places, is:

• A) \( 0.6321 \).
• B) \( 0.3679 \).
• C) \( 0.2500 \).
• D) None of these choices are correct.

---

Definitions:

Lateral

Pertaining to the side of an organism or structure, often used in medical and anatomical descriptions.

Nose

An external protrusion on the face that houses the nostrils and is associated with the sense of smell and breathing.

Respiratory Rate

The number of breaths taken per minute, an important vital sign indicating respiratory health and function.

Heart Rate

The number of heartbeats per unit of time, usually expressed in beats per minute (bpm).