Compare the relative frequencies from the simulation to the probability model built from the binomial probability distribution in a part (3). do you believe the independence assumptions was reasonable. The 2 tables are is the link.

3. Binomial distribution: X P(x) 0 3277 1 4096 2 2048 3 0512 4 .0064 5 .0003 # of red balls Relative Frequency 0.31847261 0.41543383 0.20351859 UAWNHO 0.055577769 0.0065973611 4. Decided payout: 0.00039984006 X p(x) payout profit