use the standard normal table to find the area to the left of $z = -0.72$.

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 left of $z = -0.72$ is .
(round to four decimal places as needed.)

Question

use the standard normal table to find the area to the left of $z = -0.72$.

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 left of $z = -0.72$ 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" ] } ## Identify the given value and target area Using the *Standard Normal Table* knowledge point $$ \begin{aligned} &z = -0.72\ &\text{Target Area} = P(Z < -0.72) \end{aligned} $$ ## Find the cumulative probability from the standard normal table Using the *Standard Normal Table* knowledge point $$ \begin{aligned} &P(Z < -0.72) = 0.2358 \end{aligned} $$ The area to the left of z = -0.72 is 0.2358. (Round to four decimal places as needed.) { "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": "Normal Curve" } }, { "type": "inequality", "params": [ { "x_val": -0.72, "latex": "z \le -0.72" }, [-2, 0.1] ], "properties": { "isVertical": true, "inverse": false, "strict": false, "fillColor": "rgba(140, 85, 242, 0.3)", "strokeColor": "#8C55F2" } }, { "type": "line", "params": [ [-0.72, 0], [-0.72, 0.4] ], "properties": { "strokeColor": "#F2557F", "strokeWidth": 1.5, "dash": 2, "name": "z = -0.72" } } ] } { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Statistics", "Standard Normal Table" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Identify the given value and target area

Find the cumulative probability from the standard normal table

Answer: