find the area of the shaded region. the graph depicts the standard normal distribution with mean 0 and standard deviation 1.

click to view page 1 of the table.
click to view page 2 of the table.

(z = 0.49)

the area of the shaded region is .
(round to four decimal places as needed.)

Question

find the area of the shaded region. the graph depicts the standard normal distribution with mean 0 and standard deviation 1.

click to view page 1 of the table.
click to view page 2 of the table.

(z = 0.49)

the area of the shaded region is  .
(round to four decimal places as needed.)

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Standard Normal Distribution", "Z-Score Table", "Cumulative Probability" ], "current_concepts": [ "Standard Normal Distribution", "Z-Score Table", "Cumulative Probability" ] } ## Identify the given parameters and the required area $$ \begin{aligned} &\mu = 0\ &\sigma = 1\ &z = 0.49\ &\text{Target Area} = P(Z < 0.49) \end{aligned} $$ ## Find the cumulative probability from the standard normal table $$ \begin{aligned} &P(Z < 0.49) = 0.6879 \end{aligned} $$ The area of the shaded region is 0.6879. (Round to four decimal places as needed.) { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Statistics", "Standard Normal Distribution" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the given parameters and the required area

Find the cumulative probability from the standard normal table

Answer: