In a certain country, the average life expectancy is 75 years. For every 5 years of age, the probability of living another year decreases by 2%. What is the probability that a 65-year-old person will live for at least one more year?
First, let's determine how many 5-year intervals have passed since the person turned 65.

Age = 65 years
Interval length = 5 years

Number of intervals = Age / Interval length
                             = 65 / 5
                             = 13

Since the person is currently in their 13th interval, we need to calculate how much the probability of living another year has decreased:

Decrease in probability per interval = 2%
Number of intervals passed = 13 - 1 (since the first interval does not have a decrease)
                                           = 12

Total decrease in probability = Decrease per interval * Number of intervals passed
                                            = 2% * 12
                                            = 24%

Now, let's assume that at age 0, the probability of living another year is 100%. We can then subtract the total decrease in probability from this initial value:

Initial probability = 100%
Probability for a 65-year-old = Initial probability - Total decrease
                                             = 100% - 24%
                                             = 76%

So, the probability that a 65-year-old person will live for at least one more year is 76%.