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more input results in more output the function is most likely directly proportional
The modelling of a probability distribution function for an event from a theoretical approach.
Do you mean the quadratic formula? Not much; this would be more likely to be used by a scientist or engineer.
You are likely familiar with the probability density function of the normal distribution--that is, the bell-shaped curve.A bimodal distribution is one whose probability density function has two 'humps' or maxima. In other words, values of the random variable are more likely to occur around where those two maxima occur than elsewhere, in the same way that values of a normally distributed random variable are more likely to occur around its maximum.
1/x (not a function though, since it's not defined for x=0). e^(-x) converges close to zero as x increases, would be a good choice.