MATH 314 Quiz 09

2025-02-18. Python or math for full points. Partial points for anything else.

Please submit a Jupyter notebook to the following repository by today at 3.40pm with your solution(s) to problem 1. below. https://classroom.github.com/a/9CpN7kT-

For the family of Binomial distributions, with unspecified $K, p$ $K, p$ , write a Python function that estimates the median for the distribution.
1. The median is defined as the any number $x$ that puts (approximately) half the probability to the left of $x$ and (approximately) half the probability to the right of $x$ .
2. In math, we might write $x = \text{min}_s \sum_s f(s) >= 0.5$ but techincally the definition is a bit more complex.
3. Get started with the following Numpy code
```
import scipy.stats as sp
K = 10
p = 0.5
B = sp.binom(K, p)
x = 3
B.pmf(x)
```
4. Binomial distribution
If you finish the above, work on Homework 04.
If you want a challenge, complete 1. above with no for loops.