Sketch the area under the standard normal curve over the indicated interval and find the specified area. (Round your answer to four decimal places.) The area to the right of z = 1.51 is

Respuesta :

Answer:

[tex]P(z>1.51) =1-P(Z<1.51)[/tex]

And i fwe look into the normalstandar dtable we can find the desired probability:

[tex]P(z>1.51) =1-P(Z<1.51)=1-0.9345= 0.0655[/tex]

And then the The area to the right of z = 1.51 is 0.0655

Step-by-step explanation:

For this case we want to find the following probability:

[tex] P(z>1.51)[/tex]

And for this case we can use the normal standard distribution and the complement rule and we have this:

[tex]P(z>1.51) =1-P(Z<1.51)[/tex]

And i fwe look into the normalstandar dtable we can find the desired probability:

[tex]P(z>1.51) =1-P(Z<1.51)=1-0.9345= 0.0655[/tex]

And then the The area to the right of z = 1.51 is 0.0655

The area to the right of z = 1.51 is 0.0655

Z scores

The z-score or the standard score illustrates how far from the mean a data point is.

The z value is given as:

[tex]z = 1.51[/tex]

The area to the right of the z-score is represented as:

[tex]P(Z > z)[/tex]

Substitute 1.51 for z in the above expression

[tex]P(z > 1.51)[/tex]

From z-score of probability, we have:

[tex]P(z > 1.51) =0.065522[/tex]

Approximate

[tex]P(z > 1.51) =0.0655[/tex]

This means that, the area to the right of z = 1.51 is 0.0655

See attachment for the sketch

Read more about z-scores at:

https://brainly.com/question/25638875

Ver imagen MrRoyal