Bernoulli Fisher Information

Problem

Return the Fisher information of n Bernoulli trials with success probability p:

I(p) = n / (p * (1 - p))

Hint

Information is smallest when the coin is fair, since p(1-p) is largest there.

case 1

in: [0.5,1]

expected: 4

case 2

in: [0.5,10]

expected: 40

case 3

in: [0.25,1]

expected: 5.333333333333333

case 4

in: [0.1,5]

expected: 55.55555555555555

Starter codePython

def bernoulli_fisher_information(p, n):
    # Your code here
    pass

4 test cases · run your code against them in the editor