Explain Why the Two Probabilities Are Identical for the Standard

question 2

Essay

Explain why the two probabilities are identical for the standard normal distribution:
Pr(-1.96 ≤ X ≤ 1.96)and Pr(-1.96 < X < 1.96).

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Definitions:

Stereotype Threat

The risk of confirming negative stereotypes about an individual's racial, ethnic, gender, or cultural group, which can impair performance in a variety of settings.

Performance Impairment

A decrease in the ability to perform tasks or activities at a previously established level of competence, often due to physiological or psychological factors.

Negative Belief

A mindset or perspective that focuses on unfavorable outcomes or attributes, often leading to pessimistic attitudes or expectations.

European-Americans

Individuals in the United States who are of European descent.