Due 10/11/2024 Friday before the class begins.
The purpose of this homework is to demonstate the celebrated Central
Limit Theorem asserting that appropriately normalized independent
samples converges to a normal distribution.
Problem 1. Generate 2000 samples from binomial distribution with
parameter n=100 and p=0.6.
# Your code here
Problem 2. Draw a histogram of your data (population).
# Your code here
Problem 3. Take 500 random samples of size
20 from the data (population). Draw plot and histogram
of these samples.
# Your code here
Problem 4. Compute the sample mean, sample standard deviation,
population mean, and population standard deviaion.
# Your code here
Problem 5. Visualize those sample means taked from the population.
Also, draw a normal curve with matching mean and variance and check that
they are very close to each other.
# Your code here