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- Probability Distributions Calculator

Enter a probability distribution table and this calculator will find the mean, standard deviation and variance. The calculator will generate a step by step explanation along with the graphic representation of the data sets and regression line.

**Example 1:**

A company tested a new product and found that the number of errors per 100 products had the following probability distribution:

$$ \begin{array}{c|ccccc} number~of~errors (X) & ~2~ & ~3~ & ~4~ & ~5~ & ~6 \\ P(X) & ~0.02~ & ~0.25~ & ~0.4~ & ~0.3~ & ~0.03 \end{array} $$Find the Variance of the number of errors per 100 products.

Set up the form**Example 2:**

The discrete probability distribution of X is given by:

$$ \begin{array}{c|ccccc} X & ~0~ & ~2~ & ~5~ & ~7/3~ & ~5 \\ P(x) & ~0.1~ & ~0.2~ & ~1/3~ & ~1/6~ & ~0.3 \end{array} $$Find the mean of the distribution.

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