### Finding the Area Under the Standard Normal Distribution#### Problem Statement:Find the area of the shaded region under the standard normal distribution to the left of the given z-score. Round your answer to four decimal places.#### Diagram Explanation:The diagram represents a standard normal distribution curve, which is bell-shaped, centered at a z-score of 0, and extends from negative infinity to positive infinity on the z-axis. The x-axis depicts standard z-scores ranging from -4 to 4.A shaded area under the curve is highlighted to the left of the z-score of -0.76. This indicates that the region we are interested in is the cumulative probability from negative infinity up to -0.76.#### Mathematical Notation:The problem requires finding the cumulative probability:\[ P(z < -0.76) = \]This notation asks us to find the probability that a randomly selected value from the standard normal distribution is less than -0.76.Enter the area (or probability) in the provided box, rounded to four decimal places.

We know that Z-socre= (x-mu)/sigma Z=-0.76

Answered: Find the area of the shaded region…

Find the area of the shaded region under the standard normal distribution to the left of the given z- score. Round your answer to four decimal places. -4 -3 -1 1 2 3 := -0.76 P(z < – 0.76)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

### Finding the Area Under the Standard Normal Distribution

#### Problem Statement:
Find the area of the shaded region under the standard normal distribution to the left of the given z-score. Round your answer to four decimal places.

#### Diagram Explanation:
The diagram represents a standard normal distribution curve, which is bell-shaped, centered at a z-score of 0, and extends from negative infinity to positive infinity on the z-axis. The x-axis depicts standard z-scores ranging from -4 to 4.

A shaded area under the curve is highlighted to the left of the z-score of -0.76. This indicates that the region we are interested in is the cumulative probability from negative infinity up to -0.76.

#### Mathematical Notation:
The problem requires finding the cumulative probability:

\[ P(z < -0.76) = \]

This notation asks us to find the probability that a randomly selected value from the standard normal distribution is less than -0.76.

Enter the area (or probability) in the provided box, rounded to four decimal places.

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