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{ "quality": "blurry", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Normal Distribution Properties", "Standard Normal Table" ], "new_concepts": [], "current_concepts": [ "Normal Distribution Properties", "Standard Normal Table", "Interval Probability" ] } ## Identify the given probability expression Using the *Normal Distribution Properties* knowledge point $$ P(Z < -3.99) $$ ## Evaluate the standard normal probability Using the *Standard Normal Table* knowledge point $$ \begin{aligned} &P(Z < -3.49) \approx 0.0002 \ &P(Z < -3.99) \approx 0.00003 \approx 0 \end{aligned} $$ ## Select the matching option Using the *Normal Distribution Properties* knowledge point $$ P(Z < -3.99) \approx \text{zero} $$

0.5

zero

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Statistics", "Normal Distribution Properties" ] }

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Explanation:

Identify the given probability expression

Evaluate the standard normal probability

Select the matching option

Answer: