{EPITECH} | Second year | Math project
Uncle Luigi runs a 25-phone hotline in Pondicherry. He reckons 3500 people could possibly call during each 8-hour day, and would like to know the probability of an overload (that is, the probability of no line being available), depending on the average duration of calls.
The random variable representing the number of people calling at a given time follows the binomial distribution, with calls being independent from each other. You’re also thinking about estimating the binomial ditribution with a Poisson distribution, so it can be used on a larger scale.
Your first task is to compute the binomial coefficient given k and n(emphasizing the computation speed and stack optimization).
Your second task is to compare the binomial and Poisson distributions, given the average duration of calls, by printing:
- the probabilities of getting nsimultaneous calls (for nincreasing from 0 to 50),
- the probability of an overload,
- the computation time.
See the subject for further details !
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Grade : A | Mark : 20
| Category | Percentage | Tests | Crash ? |
|---|---|---|---|
| poisson distribution | 100% | 3/3 | x |
| Poisson distribution (eval) | 100% | 3/3 | x |
| basic | 100% | 5/5 | x |
| binomial coefficient | 100% | 6/6 | x |
| binomial distribution | 100% | 3/3 | x |
| binomial distribution (eval) | 100% | 3/3 | x |
| mathematical rigor | 100% | 2/2 | x |
| overload | 100% | 6/6 | x |
| overload (eval) | 100% | 8/8 | x |
| rigor | 100% | 6/6 | x |
| End score | 100% | 39/39 | No |
Made with Quentin TREHEUX (LuciferBahamut)
Beware of -42 Epitech students !!!