If the Random Variable X Is Exponentially Distributed with Parameter

question 119

Multiple Choice

If the random variable X is exponentially distributed with parameter λ = 1.5,then the probability P(2 ≤ X ≤ 4) ,up to 4 decimal places,is

• A)0.6667
• B)0.0473
• C)0.5000
• D)0.2500

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Definitions:

Mood Disorder

A category of mental disorders involving persistent disturbances in mood or emotional state, such as depression or bipolar disorder.

Weight Loss

The reduction of total body mass due to factors such as decreased fluid, fat, or lean mass, often pursued for health or aesthetic reasons.

Sleep

A naturally recurring state of mind and body characterized by altered consciousness, relatively inhibited sensory activity, and inhibition of nearly all voluntary muscles.

Depressive Disorder

A group of conditions characterized by persistent feelings of sadness and hopelessness and a lack of interest or pleasure in nearly all activities, often accompanied by physical symptoms and impaired functioning.