Assume That $z$ Scores Are Normally Distributed with a Mean of 0 and of 0

question 105

Multiple Choice

Assume that $z$ scores are normally distributed with a mean of 0 and a standard deviation of 1 . If $\mathrm { P } ( - \mathrm { a } < \mathrm { z } < \mathrm { a } ) = 0.4314$ , find $\mathrm { a }$ .

• A) \(1.49\)
• B) \(- 0.18\)
• C) \(0.3328\)
• D) \(0.57\)

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Definitions:

Probability of Success

The likelihood that an action, experiment, or event will produce a desired outcome, often used in the context of statistical experiments.

Binomial Distribution

A probability distribution that summarizes the likelihood that a value will take one of two independent states across a number of observations or trials.

Normal Approximation

A method used in statistics where a normal distribution is used to approximate a different, often more complex, distribution under certain conditions.

Probability

The likelihood of occurrence of an event, often represented as a value between 0 and 1.