use the standard normal table to find the specified area.

to the right of z = 1.54

click here to view page 1 of the standard normal table.
click here to view page 2 of the standard normal table.

the area to the right of z = 1.54 is .
(round to four decimal places as needed.)

Question

use the standard normal table to find the specified area.

to the right of z = 1.54

click here to view page 1 of the standard normal table.
click here to view page 2 of the standard normal table.

the area to the right of z = 1.54 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", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": true, "concepts_used": [ "Standard Normal Table" ], "new_concepts": [], "current_concepts": [ "Standard Normal Table", "Normal Distribution" ] } ## Find the cumulative area to the left of z Using the *Standard Normal Table* knowledge point $$ P(Z < 1.54) = 0.9382 $$ ## Calculate the area to the right of z Using the *Standard Normal Table* knowledge point $$ \begin{aligned} P(Z > 1.54) &= 1 - P(Z < 1.54) \ &= 1 - 0.9382 \ &= 0.0618 \end{aligned} $$ The area to the right of $z = 1.54$ is 0.0618. { "elements": [ { "type": "functiongraph", "params": [ { "js": "Math.exp(-x*x/2) / Math.sqrt(2*Math.PI)", "latex": "\frac{1}{\sqrt{2\pi}} e^{-\frac{x^2}{2}}" }, -4, 4 ], "properties": { "strokeColor": "#583C87", "strokeWidth": 2, "name": "f(z)", "withLabel": false } }, { "type": "line", "params": [ [1.54, 0], [1.54, 1] ], "properties": { "strokeColor": "#F2557F", "strokeWidth": 1.5, "dash": 2, "name": "z = 1.54", "withLabel": true, "label": { "position": "top" } } }, { "type": "inequality", "params": [ { "x_val": 1.54, "latex": "z \ge 1.54" }, [2.2, 0.05] ], "properties": { "isVertical": true, "inverse": true, "strict": false, "fillColor": "rgba(140, 85, 242, 0.3)", "strokeColor": "transparent" } } ], "timestamps": [0.5] } { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Statistics", "Standard Normal Table" ] }

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QUESTION IMAGE

Question

Explanation:

Find the cumulative area to the left of z

Calculate the area to the right of z

Answer: