Invasive melanoma of the skin is a type of malignant skin cancer; melanoma accounts

for 1% of all skin cancers diagnosed in the United States, but causes the most deaths

out of all types of skin cancer. In the United States, the overall incidence rate of melanoma

is 21.8 cases per 100,000 people per year. The highest incidence rate occurs among non-

Hispanic white males: in this subgroup, melanoma occurs with rate 34.9 per 100,000 people

annually.

i. In 2018, the population of Washington, D.C. was 702,000 residents, with 36.8% non-

Hispanic white residents. Compute the expected number of melanoma cases among

non-Hispanic white males in a given year. You may assume that the number of men

and women in Washington, D.C. is equal. (ANSWER NO NEED)

ii. Compute the probability of observing at least 60 cases of melanoma among non-

Hispanic white males in a given year. (ANSWER NO NEED)

iii. What is an implicit assumption required to make the calculations in parts i. and ii.?

Explain your answer and comment on whether the assumption seems reasonable. (Only this answer is needed.)