Pipeng Toolbox : Probability Calculators Blank User
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Maths Probability

Calculate the normal and log normal probability functions from the mean, standard deviation and percentile.

The calculation includes the probability density, the cumulative distribution function and the complementary distribution function. The cumulative distribution (cdf) function asymptotes to 1 as the percentile tends to infinity. The complementary distribution function asymptotes to 0 as the percentile x tends to infinity. Use the Result Plot option to plot the probability density, cumulative distribution, and complementary distribution (or tail) versus the percentile.

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CALCULATOR : Normal Probability [FREE]   ±

Calculate the normal probability from the mean, standard deviation and percentile.

The calculation includes the probability density, the cumulative distribution function and the complementary distribution function. The cumulative probability can either be calculated from the percentile, or the percentile can be calculated from the cumulative probability. Use the Result Plot option to plot the probability density, cumulative distribution, and complementary distribution (or tail) versus the percentile.

Tool Input

  • pxtype : Probability Type
    • xu : User Defined Percentile
    • pu : User Defined Cumulative Probability
  • m : Mean Value
  • s : Standard Deviation

Tool Output

  • d : Probability Density
  • p : Cumulative Probability
  • q : Tail Probability Or Exceedance
  • x : Percentile

CALCULATOR : Log Normal Probability [FREE]   ±

Calculate the log normal probability from the mean, standard deviation and percentile.

The calculation includes the probability density, the cumulative distribution function and the complementary distribution function. The cumulative probability can be calculated from the percentile, or the percentile can be calculated from the cumulative probability. Use the Result Plot option to plot the probability density, cumulative distribution, and complementary distribution (or tail) versus the percentile.

Tool Input

  • pxtype : Probability Type
    • xu : User Defined Percentile
    • pu : User Defined Cumulative Probability
  • m : Mean Value
  • s : Standard Deviation

Tool Output

  • am : Arithmetic Mean
  • as : Arithmetic Standard Deviation
  • d : Probability Density
  • med : Median
  • mod : Mode
  • p : Cumulative Probability
  • q : Tail Probability Or Exceedance
  • x : Percentile