Find the Following Probabilities for a Standard Normal Random Variable

question 45

Short Answer

Find the following probabilities for a standard normal random variable Z.
A) P(-0.25 < Z ≤ 0.50)
B) P(-2.5 ≤ Z < 0)
C) P(-1.45 < Z < 3.09)
D) P(Z < -1.75)

• A) P(-0.25 < Z ≤ 0.50)
• B) P(-2.5 ≤ Z < 0)
• C) P(-1.45 < Z < 3.09)
• D) P(Z < -1.75)

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Definitions:

Properties

Fundamental qualities or characteristics that mathematical operations or entities inherently possess.

Logarithms

The level to which a base, usually 10 or e, is raised to generate a particular number.

Condense

In mathematics, to express a complex expression in a simpler form by combining like terms or using mathematical properties.

Properties

The characteristics or attributes that help define or identify mathematical objects, operations, or relationships.