question 20 points 1

$p(z 3.99) =$

- zero
- 0.5

Question

question 20 points 1

$p(z > 3.99) =$

- zero
- 0.5

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Z-score Calculation", "Standard Normal Table" ], "new_concepts": [], "current_concepts": [ "Z-score Calculation", "Standard Normal Table", "Normal Distribution Properties" ] } ## Identify the given probability expression Using the *Z-score Calculation* knowledge point $$ P(z > 3.99) $$ ## Evaluate the tail probability Using the *Standard Normal Table* knowledge point $$ \begin{aligned} &P(z > 3.99) = 1 - \Phi(3.99) \ &\Phi(3.99) \approx 1.0000 \ &P(z > 3.99) \approx 0 \end{aligned} $$

zero

0.5

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Statistics", "Standard Normal Table" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the given probability expression

Evaluate the tail probability

Answer: