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

question 85

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:

Moral Idealism

A philosophy that emphasizes the importance of adhering to moral principles in decision making, regardless of the consequences.

Personal Moral Philosophy

An individual's set of beliefs, principles, and values regarding what is right and wrong, guiding personal behavior and decisions.

Universal Rights

Fundamental rights believed to be entitled to all individuals regardless of nationality, location, language, or any other factor.

Social Responsibility

The obligation of individuals and organizations to act in ways that benefit society at large, beyond their own interests or profit.