Probability distributions calculator

This calculator finds mean, standard deviation and variance of a distribution. The calculator will generate a step by step explanation along with the graphic representation of the data sets and regression line.

Probability Distributions Calculator

mean, standard deviation and variance of a distribution
help ↓↓ examples ↓↓

0123456789–.,/C ✖

Enter Values for X (separate by , : ; or blank space)

Enter Values for P(X) (separate by , : ; or blank space)

All values of P(X) must sum to one.
Example: 1/3, 1/6, 0.5


X
P(X)

All possible outcomes are equally likely

Use data grit to input

X

and

P (x)

Choose what to compute

Find the Mean (expectation) of a distribution

Find the Standard Deviation of a distribution

Find the Variance of a distribution

Settings:

Hide steps

Find approximate solution

thumb_up 12K thumb_down

Get Widget Code

working...

Hire MATHPORTAL experts to do math homework for you.

Prices start at $3 per problem.

Examples

ex 1:

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

n u mb er o f errors (X) P (X) 2 0.02 3 0.25 4 0.4 5 0.3 6 0.03

Find the mean number of errors per 100 products.

ex 2:

You flip the coin. What is the expected value if every time you get heads, you lose \$2, and every time you get tails, you gain \$5. The probability distribution is:

money gain P (X) - 2 0.5 5 0.5

ex 3:

The discrete probability distribution of X is given by:

X P (X) 0 0.1 2 0.2 5 1/3 7/3 1/6 5 0.2

Find the mean of the distribution.

ex 4:

When you roll a die, you will be paid \$3 for numbers divisible by 3 and you will lose \$2 for numbers that are not divisible by 3 Find the expected value of money you get.

Related calculators

Probability calculator

Standard deviation

Normal distribution

Correlation and Regression

Search our database with more than 300 calculators

452 861 664 solved problems

	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15
X
P(X)