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What is the approximate area of the unshaded region under the standard normal curve below? Use the portion of the standard normal table given to help answer the questions. See photo’s attached.

What is the approximate area of the unshaded region under the standard normal curve below Use the portion of the standard normal table given to help answer the class=
What is the approximate area of the unshaded region under the standard normal curve below Use the portion of the standard normal table given to help answer the class=
What is the approximate area of the unshaded region under the standard normal curve below Use the portion of the standard normal table given to help answer the class=

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asadullahgiki

Concept:First find the area of the shaded region under the standard normal curve and after it as you know total area=1 , so 1-area of shaded region= area of unshaded region.

Answer:

Area of shaded region= P(-2[tex] \leq [/tex] z [tex] \leq [/tex] 1)

Now,

the symbol Ф represent the cumulative density.

first find the

Ф(1) from the above given table it is equal to 0.8413.

Now,

find the Ф(-2) .

in our table we are given the value of Ф(2)=0.9772.

so as the curve is symmetrical Ф(-2)=1-0.9772=0.0228.

P(-2[tex] \leq [/tex] z [tex] \leq [/tex] 1)= Ф(1)-Ф(-2)

= 0.8413-0.0228

= 0.8185

Now,

Area of unshaded region= 1-area of shaded region

= 1- P(-2[tex] \leq [/tex] z [tex] \leq [/tex] 1)

= 1- 0.8185

= 0.1815

= 0.18

C is the correct answer.

The area of the unshaded region is 0.1815 which is the c option.

Standard deviation

It is the measure of the dispersion of the dataset relative to its mean.

Given

According to Graph

The symbol [tex]\phi[/tex] represents the cumulative density.

How to calculate the area of the unshaded region?

[tex]\begin{aligned} \phi (-2) = 0.0228\\ \phi (1) = 0.8413\\ \end{aligned}[/tex]

The shaded area under the curve will be

Area = 0.8413 - 0.0228

Area = 0.8185

The unshaded area under the curve will be

[tex]Area\ of\ unshaded = 1 - area\ of\ shaded\\ Area\ of\ unshaded = 1 - 0.8185\\ Area\ of\ unshaded = 0.1815[/tex]

Thus, the area of the unshaded region is 0.1815 is the c option.

More about the standard deviation link is given below.

https://brainly.com/question/12402189

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