MATH 314 Quiz 03

2025-02-04. No notes, no electronic devices. Provide code for full credit, pseudo-code/math/words for partial credit, and a pretty drawing no more than zero credit.

The Bernoulli density function is

f(x | p) = p^x * (1 - p)^{(1 - x)}

where

x \in \{0, 1\}

and

p \in [0, 1]

Write $f(x|p)$ as a Python function with $p$ defaulting to $0.5$ .
What does f(0) evaluate to?
What does f(1, p = 0.25 ) evaluate to?
Let x = np.array([0, 1, 0]). What does f(x, p = 0.75) evaluate to?