Free online Probability calculator

Using Standard Normal Distribution



... How this work?
info

Step 1

What do you like to guess?

I would like to guess probability of an unknown value larger than a certain value I would like to guess probability of an unknown value smaller than a certain value I would like to guess probability of an unknown value in between two certain values Go to Step 2

Please enter the missing values

First and second values cannot be the same

First value cannot be larger than second value

Step 2

To calculate the Mean and the Standard deviation, enter the historical previous values

You need at least two values that are not equivalent in order to have a standard deviation greater than zero

Add Remove

Please enter the missing values

Cannot use the same value for all the fields

Go to Step 3

Step 3

Click the Below Button

Calculate

Z-score values out of bounds

Please try entering other values for the z-score to be within range of -3.9 and 3.9

Results

Probability of the decision occuring
star_outline star_outline star_outline star_outline star_outline
star star_outline star_outline star_outline star_outline
star star star_outline star_outline star_outline
star star star star_outline star_outline
star star star star star_outline
star star star star star
Mean (μ) = {{mean}}
Standard Deviation (σ) = {{sd}}

z-score for {{numbers1}} = (x – μ (mean)) / σ (standard deviation) = {{z}}
which is rounded to {{rounded}}

Now in the table, we will look for the value of {{rounded}}
which equal to probability = {{match}}
Mean (μ) = {{mean}}
Standard Deviation (σ) = {{sd}}

z-score for {{numbers1}} = (x – μ (mean)) / σ (standard deviation) = {{z}}
which is rounded to {{rounded}}

Now in the table, we will look for the value of {{rounded}}
which equal to probability = 1-{{1-match}} ={{match}}
Mean (μ) = {{mean}}
Standard Deviation (σ) = {{sd}}


z-score for {{numbers1}} = (x – μ (mean)) / σ (standard deviation) = {{z}}
which is rounded to {{rounded}}

Now in the table, we will look for the value of {{rounded}}
which equal to probability = {{match1}}


z-score for {{numbers2}} = (x – μ (mean)) / σ (standard deviation) = {{z2}}
which is rounded to {{rounded2}}

Now in the table, we will look for the value of {{rounded2}}
which equal to probability = {{match2}}


We are going to subtract the upper limit by the lower limit
{{match2}} - {{match1}} = {{match}}
We are going to subtract the upper limit by the lower limit
{{match1}} - {{match2}} = {{match}}
We are going to subtract both values
{{match1}} - {{match2}} = {{match}}
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