Esercitazione 11

Esercizio 1

Write a macro that implements the algorithm shown in the slide 17 of Lezione 8. 
Show the results in the two following cases:
N0=1000,    a=0.01 s-1,   Dt=1 s
N0=50000,   a=0.03 s-1,   Dt=1 s
Show the results in linear and logarithmic scale, with t between 0 and 300 s
Compare the results with the expected result


Esercizio 2
Modify the program written for exercise 2 to simulate an experiment that counts the number of decays 
observed in a time interval, T .
Allow the experiment to be repeated and histogram the distribution of the number of decays for the 
following two cases:

N0=1000,  α=2.5x10-5 s-1, Δt=1 s, T = 100s
N0=1000,  α=2.0x10-4 s-1, Δt=1 s, T = 100s

Compare the distribution of n for 1000 experiments with Binomial and Poisson distributions.