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(1 point) a) Fact the region under the standard normal curve that lies to the left of -1.92 has area 0.0274289. Without consu
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Answer #1

Question 1a)

It is given that

The region under the standard normal curve that lies to the left of -1.92 has area 0.0274289.

Now, we have to find the area under the standard normal curve, that lies to the right of 1.92.

We know, from the property of normal distribution, that a standard normal curve is symmetric about zero.

This means, the area to the right of zero, is same as the area to the left of zero; ie.

P(z<0)=P(z>0)

And this also means

P(z<-h)=P(z>h)

Where, h is any real value.

So, when h=1.92, we can conclude that

P(z<-1.92)=P(z>1.92)

Now, it is given P(z<1.92)=0.0274289.

So, we can say

P(z>1.92)=0.0274289

The answer is

The area under the standard normal curve that lies to the right of 1.92 is 0.0274289.

Question 1b)

The property of standard normal curve that allowed us to answer part (a) is

option (D) The standard normal curve is symmetric about 0.

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