Assume That Y Is Normally Distributed $N \left( \mu , \sigma ^ { 2 } \right)$

question 33

Multiple Choice

Assume that Y is normally distributed $N \left( \mu , \sigma ^ { 2 } \right)$ To find $\operatorname { Pr } \left( c _ { 1 } \leq Y \leq c _ { 2 } \right)$ where $c _ { 1 } < c _ { 2 }$ and $d _ { i } = \frac { c _ { i } - \mu } { \sigma }$ , you need to calculate $\operatorname { Pr } \left( d _ { 1 } \leq Z \leq d _ { 2 } \right) =$

• A) \(\Phi \left( d _ { 2 } \right) - \Phi \left( d _ { 1 } \right)\)
• B) \(\Phi ( 1.96 ) - \Phi ( - 1.96 )\)
• C) \(\Phi \left( d _ { 2 } \right) - \left( 1 - \Phi \left( d _ { 1 } \right) \right)\)
• D) \(1 - \left( \Phi \left( d _ { 2 } \right) - \Phi \left( d _ { 1 } \right) \right)\)

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Definitions:

Role Inconsistency

The conflict or strain experienced by an individual when the expectations of different roles they occupy clash or are incompatible.

Social Rank

The position or standing of an individual or group within the social hierarchy of a society.

Established Position

A status or rank within a group or society that is recognized and often secured based on factors such as experience, achievements, or seniority.

Role Set

All roles occupied by a person at a given time.