MediumProbabilitypr-406

Binomial MGF at Point

Problem

The moment generating function of a binomial(n, p) is (1 - p + p e^t)^n.

Given n, p, and t, return M(t).

Hint

Substitute the Bernoulli MGF into the n-fold product.

case 1

in: [10,0.5,0]

expected: 1

case 2

in: [5,0.2,1]

expected: 4.3796667875899775

case 3

in: [3,1,0.5]

expected: 4.481689070338065

Starter codePython

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

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