Normal distribution worksheet with answers

Free printable Normal distribution worksheet: 6 problems from easy to exam level, with an answer key. Print it or save it as a PDF.

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1.Easy
−3−2−10123zshaded area to the left of z = 0.1271

Drag z so that the shaded area under the standard normal curve, to the left of z, is 0.1271. Find z to two decimals.

A = 0.1271
z =
2.Easy
−3−2−10123zshaded area to the left of z = 0.2912

Drag z so that the shaded area under the standard normal curve, to the left of z, is 0.2912. Find z to two decimals.

A = 0.2912
z =
3.Medium
−3−2−10123zshaded area to the right of z = 0.9015

Drag z so that the shaded area under the standard normal curve, to the right of z, is 0.9015. Find z to two decimals.

A = 0.9015
z =
4.Medium
−3−2−10123zshaded area to the right of z = 0.0418

Drag z so that the shaded area under the standard normal curve, to the right of z, is 0.0418. Find z to two decimals.

A = 0.0418
z =
5.Hard
380420460500540580620htop 95%

The battery lifetimes are normally distributed with mean 500 h and standard deviation 40 h. Drag the cut-off so the shaded top 95% is to the right of it. Find the cut-off x.

μ = 500 hσ = 40 h95%
x = h
6.Hard
235240245250255260265gtop 85%

The bag weights are normally distributed with mean 250 g and standard deviation 5 g. Drag the cut-off so the shaded top 85% is to the right of it. Find the cut-off x.

μ = 250 gσ = 5 g85%
x = g

Answer key

  1. 1. z = −1.14
  2. 2. z = −0.55
  3. 3. z = −1.29
  4. 4. z = 1.73
  5. 5. x = 434 h
  6. 6. x = 244.8 g

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