How to Calculate the Area under the Normal Distribution Curve

[Sushil Kumar]

Hello,
Can any one provide solution of the following question?

In a normal distribution with mean 2.0 and standard deviation 0.05, what is the area under the curve between 1.99 & 2.10 standard deviation units? Show the calculations.

[alokb]

Dear Sir,

Please find attached a file ,that answers your question ,if I understood the question correctly.

thanks,
Alok

PS:Pl forgive the quality of rough sketch .

[Atul Khandekar]

An easy to follow explanation can be found here.

Instead of z-tables you can use the Excel NORMDIST function.

[Sushil Kumar]

Dear Mr Alok & Mr Atul,
I am very very thankful to you as u have cleared the concept to me. I always feel confused myself on this subject.

Sir, I have made minor change in solution for my easy understanding
Area under the curve

Z1 = 2.10-2.00 = 2
0.05
Z2 = 1.99-2.00 = -0.2
0.05

Total area covered by Z1 = 0.977249938

Total area covered by Z2 = 1- 0.579259687 =0.420740313

Intercepted area between Z1 and Z2 = 0.977249938 – 0.420740313= 0.556509625

OR

Intercepted area between Z1 and Z2 = 1-( Z1 + Z2)
1-(0.977249938+0.579259687)= 0.556509625