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- Normal Distribution Calculator

Enter mean, standard deviation and cutoff points and this calculator will find the area under normal distribution curve. The calculator will generate a step by step explanation along with the graphic representation of the area you want to find.

**Example 1:**

A normally distributed random variable X has a mean of **20** and a standard deviation of **4**.
Determine the probability that a randomly selected x-value is between **15** and **22**.

**Example 2:**

The final exam scores in a statistics class were normally distributed with a mean
of **58** and a standard deviation of **4**. Find the probability that a randomly selected
student scored more than **62** on the exam.

**Example 3:**

The target inside diameter is 50 mm but records show that the diameters follows a normal distribution with mean 50 mm and standard deviation 0.05 mm. An acceptable diameter is one within the range 49.9 mm to 50.1 mm. What proportion of the output is acceptable?

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