The Standard Deviation for a Random Variable with Probability Density $f$

question 27

Multiple Choice

The standard deviation for a random variable with probability density function $f$ and mean $\mu$ is defined
$$\sigma = \left[ \int _ { - \infty } ^ { \infty } ( x - \mu ) ^ { 2 } f ( x ) d x \right] ^ { 1 / 2 }$$
Find the standard deviation for an exponential density function with mean $10 .$

• A) \(3.3\)
• B) 2
• C) 5
• D) \(2.5\)
• E) 10

Gain insight into the DSM-5 classification and criteria changes for disorders like social anxiety disorder.

Understand the efficacy and principles of psychological treatments, such as exposure therapy, for anxiety and related disorders.

Grasp the physiological and cognitive markers and symptoms of disorders like PTSD and OCD, and their treatments.

Understand the structural adaptations of roots and their ecological significance.

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The forecasted cost of an action or decision, taking into account all known risks and uncertainties.

Expected Value

A statistical concept that calculates the average outcome of a random event when the process is repeated many times.

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