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:

a

step-by-step explanation:

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation: