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Chapter 6: Q. 6.23 (page 260)

Sketch the normal distribution with

(a)μ=3;σ=3(b)μ=1;σ=3(c)μ=3;σ=1

Short Answer

Expert verified

(a) The normal distribution with μ=3;σ=3is:

(b) The normal distribution with μ=1;σ=3is:

(c) The normal distribution with role="math" localid="1652507031330" μ=3;σ=1is:

Step by step solution

01

Part (a) Step 1. Given Information.

μ=3;σ=3

02

Part (a) Step 2. Sketch the normal distribution.

The normal distribution is:

03

Part (b) Step 1. Sketch the normal distribution.

The normal distribution with μ=1;σ=3is:

04

Part (b) Step 1. Sketch the normal distribution.

The normal istribution with μ=3;σ=1is:

05

Part (c) Step 2. Sketch all three distributions.

Sketch all the distribution in a single graph:

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The area under a density curve that lies to the left of 60 is 0.364. What percentage of all possible observations of the variable are

a. Less than 60?

b. At least 60?

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