Let $z$ Denote a Random Variable Having a Standard Normal Distribution $P ( z < 1.36 )$

question 5

Essay

Let $z$ denote a random variable having a standard normal distribution. Determine each of the following probabilities. a) $P ( z < 1.36 )$
b) $P ( z < - 2.05 )$
c) $P ( z > - 1.15 )$
d) $P ( - 1.10 < z < 2.54 )$

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Definitions:

Controlling Behavior

Actions intended to dominate, manipulate, or dictate the behavior of others, often a sign of abusive relationships or personality disorders.

Hyperactive

Excessive physical activity or movements, inability to stay still, often associated with attention deficit hyperactivity disorder (ADHD).

Secluded

Being isolated or removed from social contact; placed in a situation of privacy or solitude.

Hyperactivity

An abnormal or excessive level of activity, often seen in disorders such as ADHD, characterized by restlessness and difficulty sitting still.