**Task Description:**Find the area under the standard normal curve between \( Z = -1.16 \) and \( Z = 2.27 \). Round your answer to four decimal places if necessary.**Explanation:**To solve this problem, you need to look up the Z-scores in a standard normal distribution table or use statistical software. The Z-score table provides the cumulative probability from the left up to the Z value.1. Find the cumulative probability at \( Z = -1.16 \).2. Find the cumulative probability at \( Z = 2.27 \).3. Subtract the cumulative probability at \( Z = -1.16 \) from the cumulative probability at \( Z = 2.27 \) to find the area between these two Z-scores.This problem involves understanding the standard normal distribution, where the mean is 0 and the standard deviation is 1. The area under the curve between two points represents the probability that a random variable falls within that interval.

Answered: @ Find the area under the Standard…

@ Find the area under the Standard normal Curve between 2 = -1.16e and 2= 2.27. Round your answer to four decimal Places if necessary

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section: Chapter Questions

Problem 25SGR

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Question

**Task Description:**

Find the area under the standard normal curve between \( Z = -1.16 \) and \( Z = 2.27 \). Round your answer to four decimal places if necessary.

**Explanation:**

To solve this problem, you need to look up the Z-scores in a standard normal distribution table or use statistical software. The Z-score table provides the cumulative probability from the left up to the Z value.
1. Find the cumulative probability at \( Z = -1.16 \).
2. Find the cumulative probability at \( Z = 2.27 \).
3. Subtract the cumulative probability at \( Z = -1.16 \) from the cumulative probability at \( Z = 2.27 \) to find the area between these two Z-scores.

This problem involves understanding the standard normal distribution, where the mean is 0 and the standard deviation is 1. The area under the curve between two points represents the probability that a random variable falls within that interval.

Expert Solution

Step 1

Find P(-1.16<Z<2.27)=?

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