Distribution/Inverse Distribution

normPDf

Returns the normal probability density for a specified value.
Syntax: normPDf (x[, σ, μ)]

• When σ and μ are skipped, σ = 1 and μ = 0 are used.

normCDf

Returns the cumulative probability of a normal distribution between a lower bound and an upper bound.
Syntax: normCDf (lower value, upper value[, σ, μ)]

• When σ and μ are skipped, σ = 1 and μ = 0 are used.
  Calculation Result Output: prob, zLow, zUp

invNormCDf

Returns the boundary value(s) of a normal cumulative distribution probability for specified values.
Syntax: invNormCDf ([tail setting,] area value[, σ, μ)]

• When σ and μ are skipped, σ = 1 and μ = 0 are used.
• “tail setting” displays the probability value tail specification, and Left, Right, or Center can be specified. Enter the following values or letters to specify:
  　　Left: −1, “L”, or “l”
  　　Center:  0, “C”, or “c”
  　　Right: 1, “R”, or “r”
  When input is skipped, “Left” is used.
• When “tail setting” is Center, the lower bound value is returned.
  Calculation Result Output: x1InvN, x2InvN

tPDf

Returns the Student’s t probability density for a specified value.
Syntax: tPDf (x, df [ ) ]
Calculation Result Output: prob

tCDf

Returns the cumulative probability of a Student’s t distribution between a lower bound and an upper bound.
Syntax: tCDf (lower value, upper value, df [ ) ]
Calculation Result Output: prob, tLow, tUp

invTCDf

Returns the lower bound value of a Student’s t cumulative distribution probability for specified values.
Syntax: invTCDf (prob, df [ ) ]
Calculation Result Output: xInv

chiPDf

Returns the \(\chi^2\) probability density for specified values.
Syntax: chiPDf (x, df [ ) ]
Calculation Result Output: prob

chiCDf

Returns the cumulative probability of a \(\chi^2\) distribution between a lower bound and an upper bound.
Syntax: chiCDf (lower value, upper value, df [ ) ]
Calculation Result Output: prob

invChiCDf

Returns the lower bound value of a \(\chi^2\) cumulative probability distribution for specified values.
Syntax: invChiCDf (prob, df [ ) ]
Calculation Result Output: xInv

fPDf

Returns the F probability density for a specified value.
Syntax: fPDf (x, n:df, d:df [ ) ]
Calculation Result Output: prob

fCDf

Returns the cumulative probability of an F distribution between a lower bound and an upper bound.
Syntax: fCDf (lower value, upper value, n:df, d:df [ ) ]
Calculation Result Output: prob

invFCDf

Returns the lower bound value of an F cumulative probability distribution for specified values.
Syntax: invFCDf (prob, n:df, d:df [ ) ]
Calculation Result Output: xInv

binomialPDf

Returns the probability in a binomial distribution that success will occur in a specified trial.
Syntax: binomialPDf (x, numtrial value, pos [ ) ]
Calculation Result Output: prob

binomialCDf

Returns the cumulative probability in a binomial distribution that the success will occur between specified lower value and upper value.
Syntax: binomialCDf (lower value, upper value, numtrial value, pos [ ) ]
Calculation Result Output: prob

invBinomialCDf

Returns the minimum number of trials of a binomial cumulative probability distribution for specified values.
Syntax: invBinomialCDf (prob, numtrial value, pos [ ) ]
Calculation Result Output: xInv, *xInv

poissonPDf

Returns the probability in a Poisson distribution that the success will occur on a specified trial.
Syntax: poissonPDf (x, λ [ ) ] (λ: mean)
Calculation Result Output: prob

poissonCDf

Returns the cumulative probability in a Poisson distribution that the success will occur between specified lower value and upper value.
Syntax: poissonCDf (lower value, upper value, λ [ ) ] (λ: mean)
Calculation Result Output: prob

invPoissonCDf

Returns the minimum number of trials of a Poisson cumulative probability distribution for specified values.
Syntax: invPoissonCDf (prob, λ [ ) ] (λ: mean)
Calculation Result Output: xInv, *xInv

geoPDf

Returns the probability in a geometric distribution that the success will occur on a specified trial.
Syntax: geoPDf (x, pos [ ) ]
Calculation Result Output: prob

geoCDf

Returns the cumulative probability in a geometric distribution that the success will occur between specified lower value and upper value.
Syntax: geoCDf (lower value, upper value, pos [ ) ]
Calculation Result Output: prob

invGeoCDf

Returns the minimum number of trials of a geometric cumulative probability distribution for specified values.
Syntax: invGeoCDf (prob, pos [ ) ]
Calculation Result Output: xInv, *xInv

hypergeoPDf

Returns the probability in a hypergeometric distribution that the success will occur on a specified trial.
Syntax: hypergeoPDf (x, n, M, N [ ) ]
(\(n\) : Number of elements extracted from population, \(M\) : Number of successes in population, \(N\) : Number of population elements)
Calculation Result Output: prob

hypergeoCDf

Returns the cumulative probability in a hypergeometric distribution that the success will occur between specified lower value and upper value.
Syntax: hypergeoCDf (lower value, upper value, n, M, N [ ) ]
(\(n\) : Number of elements extracted from population, \(M\) : Number of successes in population, \(N\) : Number of population elements)
Calculation Result Output: prob

invHypergeoCDf

Returns the minimum number of trials of a hypergeometric cumulative probability distribution for specified values.
Syntax: invHypergeoCDf (prob, n, M, N [ ) ]
(\(n\) : Number of elements extracted from population, \(M\) : Number of successes in population, \(N\) : Number of population elements)
Calculation Result Output: xInv, *xInv