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:

Lumbricals

Muscles in the hand and foot that flex the metacarpophalangeal joints and extend the interphalangeal joints.

Posterior Side

The back or rear part of the body or a structure, opposite to the anterior or front.

Adductor Magnus

A large muscle in the thigh that functions to adduct and medially rotate the thigh, playing a key role in stabilizing walking and standing.

Biceps Femoris

A muscle in the thigh part of the hamstring group, involved in knee flexion and hip extension.