question 4 points 2

$p(z 0.5) =$

- 85.30%
- 30.85%

Question

question 4 points 2

$p(z > 0.5) =$

- 85.30%
- 30.85%

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": true, "concepts_used": [ "Standard Normal Table", "Interval Probability" ], "new_concepts": [], "current_concepts": [ "Standard Normal Table", "Interval Probability", "Z-score Calculation" ] } ## Use complement rule for upper tail Using the *Interval Probability* knowledge point $$ P(Z > 0.5) = 1 - P(Z \le 0.5) $$ ## Find cumulative probability from table Using the *Standard Normal Table* knowledge point $$ P(Z \le 0.5) = 0.6915 $$ ## Calculate final percentage Using the *Interval Probability* knowledge point $$ \begin{aligned} P(Z > 0.5) &= 1 - 0.6915 \ &= 0.3085 \ &= 30.85\% \end{aligned} $$

85.30%

30.85%

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QUESTION IMAGE

Question

Explanation:

Use complement rule for upper tail

Find cumulative probability from table

Calculate final percentage

Answer: