An auditor for a Health Maintenance service of Georgia reports 40% of policyholder 55 years or older submit a claim during the year. Fifteen policyholders are randomly selected for company records.

a. How many of the policyholders would you expect to have filed a claim within the last year?

b. What is the probability that 10 of the selected policyholders submitted a claim last year?

c. What is the probability that 10 or more of the selected policyholders submitted a claim last year?

d. What is the probability that more than 10 of the selected policyholders submitted a claim last year?

I'm experiencing issues with probability outside of the six-sided die example.