Math Problem Statement

What percent of a standard Normal model is found in each​ region? Draw a picture first.

​a)

zgreater than>negative 1.4−1.4

​b)

zless than<negative 1.9−1.9

​c)

0.850.85less than<zless than<1.851.85

​d)

StartAbsoluteValue z EndAbsoluteValuezless than<0.60.6

Question content area bottom

Part 1

​a) Choose the correct graph of

zgreater than>negative 1.4−1.4.

A.

x-1.4

A normal curve is over a horizontal axis. A vertical line segment extends from the horizontal axis to the curve at negative 1.4, where negative 1.4 is to the left of the curve's center. The area under the curve to the left of negative 1.4 is shaded.

B.

x-1.4

A normal curve is over a horizontal axis. A vertical line segment extends from the horizontal axis to the curve at negative 1.4, where negative 1.4 is to the right of the curve's center. The area under the curve to the left of negative 1.4 is shaded.

C.

x-1.4

A normal curve is over a horizontal axis. A vertical line segment extends from the horizontal axis to the curve at negative 1.4, where negative 1.4 is to the right of the curve's center. The area under the curve to the right of negative 1.4 is shaded.

D.

x-1.4

Solution

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Math Problem Analysis

Mathematical Concepts

Statistics
Normal Distribution
Z-scores
Probability

Formulas

Z = (X - μ) / σ
Cumulative Probability from Z-tables

Theorems

Empirical Rule (68-95-99.7 rule)
Properties of Standard Normal Distribution

Suitable Grade Level

Grades 11-12 or College-level Statistics