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Determine the area under the standard normal curve that lies between

a. -2.18and 1.44.

b. -2and -1.5.

c. 0.59and 1.51.

d.1.1and4.2.

Short Answer

Expert verified

Part a: The area under the standard normal curve that lies between -2.18and 1.44is, 0.9105.

Part b: The area under the standard normal curve that lies between -2and-1.5is, 0.0440.

Partc:The area under the standard normal curve that lies between 0.59and 1.51is, 0.2121.

Partd:The area under the standard normal curve that lies between1.1and4.2is,0.1357.

Step by step solution

01

Part a Step 1. Given information

We need to find the area under the standard normal curve that lies between the given values.

02

Part a Step 2. Let us analyze the given values and find the area between them.

The area under the standard normal curve that lies between -2.18and 1.44equals the area to the left of 1.44minus the area to the left of -2.18. Standard normal table shows that these latter two areas are 0.9251and 0.0146respectively. So, the required area is, 0.9251-0.0146=0.9105.

03

Part a Step 3. Let us draw a curve which shows the obtained area in it.

04

Part b Step 1. Let us analyze the given values and find the area between them.

The area under the standard normal curve that lies between -2and -1.5equals the area to the left of -1.5minus the area to the left of -2. Standard normal table shows that these latter two areas are0.0668and0.0228respectively. So, the required area is,0.0668-0.0228=0.0440.

05

Part b Step 2. Let us draw a curve which shows the obtained area in it.

06

Part c Step 1. Let us analyze the given values and find the area between them.

The area under the standard normal curve that lies between 0.59and 1.51equals the area to the left of 1.51minus the area to the left of 0.59.Standard normal table shows that these latter two areas are 0.9345and 0.7224respectively. So, the required area is,0.9345-0.7224=0.2121.

07

Part c Step 2. Let us draw a curve which shows the obtained area in it.

08

Part d Step 1. Let us analyze the given values and find the area between them.

The area under the standard normal curve that lies between1.1and4.2equals the area to the left of4.2minus the area to the left of1.1.Standard normal table shows that these latter two areas are1.0000and0.8643respectively. So, the required area is,1.0000-0.8643=0.1357.

09

Part d Step 2. Let us draw a curve which shows the obtained area in it.

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Most popular questions from this chapter

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