Assume That X Is a Random Variable in a Probability $\mu _ { \text {new } } = 3 \mu + 5 ; \sigma _ { \text {new } } = 3 \sigma + 5$

question 72

Multiple Choice

Assume that x is a random variable in a probability distribution with mean µ and standard deviation ?. Find expressions for the mean and standard deviation if every value of x is modified by first being multiplied by 3, then increased by 5.

• A) \(\mu _ { \text {new } } = 3 \mu + 5 ; \sigma _ { \text {new } } = 3 \sigma + 5\)
• B) \(\mu _ { \text {new } } = 3 \mu + 5\); \(\sigma _ { \text {new } } = 3 \sigma\)
• C) \(\mu _ { \text {new } } = 5 \mu + 3 ; \sigma _ { \text {new } } = 5 \sigma\)
• D) \(\mu _ { \text {new } } = \mu + 5 ; \sigma _ { \text {new } } = 3 \sigma\)

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Definitions:

Person Perception

The process of forming impressions of others.

Social Cognition

The study of how people process, store, and apply information about other people and social situations.

Personal Schema

An individual's belief system or cognitive framework that influences how they interpret and make sense of the world around them.

External Attributions

Ascribing the causes of behavior to situational demands and environmental constraints.