SOLUTION: . Edna Crabapple is 170 cm tall. If the heights of her students are distributed normally with an average of 180cm and a standard deviation of 5.5cm, what is the probability that

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Question 1195473: . Edna Crabapple is 170 cm tall. If the heights of her students are
distributed normally with an average of 180cm and a standard
deviation of 5.5cm, what is the probability that a randomly chosen
student is taller than she?

Answer by ikleyn(52786) (Show Source):
You can put this solution on YOUR website!
.
Edna Crabapple is 170 cm tall. If the heights of her students are
distributed normally with an average of 180cm and a standard
deviation of 5.5cm, what is the probability that a randomly chosen
student is taller than she?
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The normal distribution curve is a bell shaped curve.

The question is to determine the area under the normal distribution curve to the right of 170 cm.

Go to website

https://onlinestatbook.com/2/calculators/normal_dist.html

and use free of charge online calculator specially intended for this purpose.

Input 180 in the port window " Mean ";

input 5.5 in the port window " SD "; ( <<<---=== SD means "standard deviation" )

input number 170 in the port window " ABOVE ".

Then click the button " Recalculate ".

You will get the 0.9655 in the window " Area (probability) ".

The shaded area in the plot shows you the area of the interest.

Every time as you get similar problem, you can solve it this way.

This way is the easiest and shortest way to learn the subject.

When you learn the subject enough, you will be ready and may start learning other ways.

. . . . . . . . . . . .

On HOW TO do it using pocket calculator, see this video lesson

https://www.youtube.com/watch?v=IyEKEL9nm28

and/or many other video lessons, which you can find in the Internet.