X Is a Normally Distributed Random Variable with a Mean

question 39

Multiple Choice

X is a normally distributed random variable with a mean of 10.00. If the probability that X is less than 11.54 is 0.67 (as shown below) , then what is the standard deviation of X? (Note: the diagram is not necessarily to scale.)

• A) 1.75
• B) 3.50
• C) 4.20
• D) 12.25

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Definitions:

Indiscriminately

Done without careful judgment or selective consideration, affecting or applying to many without distinction.

Continuing Desire

An ongoing longing or wish for someone or something, potentially driving motivation and actions.

Seething Cauldron

An intense situation filled with strong and possibly violent emotions, akin to a pot boiling over.

Unconscious Urges

Hidden, primal desires and impulses that influence behavior and thought processes, often without the individual's awareness.