For a Variable Z That Has a Standard Normal Distribution $z < - 2.45$

question 30

Essay

For a variable z that has a standard normal distribution, a) What is the probability that $z < - 2.45$ ?
b) What is the probability that $z < + 1.67$ ?
c) What is the probability that $\mathrm { z }$ is between $- 1.43$ and $+ 1.43$
d) What value of $z$ separates the smaller $10 \%$ of the standard normal distribution from the larger $90 \%$ ?
e) What values of $- z$ and $+ z$ separate the middle $95 \%$ of the standard normal distribution from the extreme $5 \%$ ?

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Definitions:

Tardiness

The act of being late or delaying arrival beyond the expected or scheduled time.

Absenteeism

The habitual non-presence of an employee at their job, which can be voluntary or involuntary, and often affects productivity.

Alienation

The feeling of being isolated and disconnected from one’s work, society, or sense of self.

Vertical Loading

A management concept involving the process of delegating more responsibilities and higher-level tasks to employees to increase their involvement and motivation.