If X Is a Normal Random Variable with a Mean $\geq$

question 108

Essay

If X is a normal random variable with a mean of 45 and a standard deviation of 8, find the following probabilities:
a. P(X $\geq$ 50).
b. P(X $\leq$ 32).
c. P(37 $\leq$ X $\leq$ 48).
d. P(50 $\leq$ X $\leq$ 60).
e. P(X = 45).

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Definitions:

Rule

A prescribed guide for conduct or action established by an authority, principle, or procedure that governs behavior.

Omission

The act of leaving out or excluding something, either intentionally or inadvertently, from consideration or action.

Commission

A fee paid to an agent or employee for transacting a piece of business or performing a service.

Misrepresentation

A false statement or lie that deceives, misleads, or presents an inaccurate picture of the reality.