Determine the area under the standard normal curve that lies to the right of (a) Upper Z equals negative 0.77 comma (b) Upper Z equals negative 0.07 comma (c) Upper Z equals negative 0.92 comma and (d) Upper Z equals 0.39 .

a)

And we can use the following excel code:

"=1-NORM.DIST(0.07,0,1,TRUE)"

And we got:

b)

And we can use the following excel code:

"=1-NORM.DIST(0.07,0,1,TRUE)"

And we got:

c)

And we can use the following excel code:

"=1-NORM.DIST(-0.92,0,1,TRUE)"

And we got:

d)

And we can use the following excel code:

"=1-NORM.DIST(0.39,0,1,TRUE)"

And we got:

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Part a

We want this probability:

And using the complement rule and we got:

And we can use the following excel code:

"=1-NORM.DIST(-0.77,0,1,TRUE)"

And we got:

Part b

We want this probability:

And using the complement rule and we got:

And we can use the following excel code:

"=1-NORM.DIST(0.07,0,1,TRUE)"

And we got:

Part c

We want this probability:

And using the complement rule and we got:

And we can use the following excel code:

"=1-NORM.DIST(-0.92,0,1,TRUE)"

And we got:

Part d

We want this probability:

And using the complement rule and we got:

And we can use the following excel code:

"=1-NORM.DIST(0.39,0,1,TRUE)"

And we got:

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step-by-step explanation:

relating to or denoting a system of numbers and arithmetic based on the number ten, tenth parts, and powers of ten.

it alot will look like this 4.4