InverseLogNormal Command

InverseLogNormal( <Mean>, <Standard Deviation>, <Probability> )

Computes the inverse of the cumulative distribution function of a log-normal distribution at probability p, where the log-normal distribution is defined by the given parameters mean and standard deviation. In other words, it finds t such that P(X ≤ t) = p, where X is a log-normal random variable. Probability p must be a value in the closed interval [0, 1].

  • InverseLogNormal(10, 20, 1/3) returns 3.997.

  • InverseLogNormal(1000, 2, 1) returns \( \infty \).