Epitech Project, MATHS 204
Subject:
When ducks are disturbed by a sudden noise, they fly away almost simultaneously, and everything is de-serted. Chances that a duck will then come back aftertminutes are given by the following probability den-sity function: f: [0,+∞[−→Rt7−→ae−t+ (4−3a)e−2t+ (2a−4)e−4t
where a is a real constant between 0 and 2.5, which depends on external factors (such as temperature, daytime, duck’s health etc.).
A study is being conducted about these ducks, and you are asked to compute and display the following,given the value of a:
- The average time after which ducks come back,
- The standard deviation of the ducks’ return time,
- The time after which 50% of all of the ducks are back,
- The time after which 99% of all of the ducks are back,
- The percentage of ducks that come back after 1 minute,
- The percentage of ducks that come back after 2 minutes.
Usage:
./204ducks a
a is a constant
Example:
