Final answer:
The question involves calculating the cumulative probability for a binomial distribution, adding probabilities P(r = 0) through P(r = 5). The exact probabilities cannot be determined without the base probability for a single adult being concerned.
Step-by-step explanation:
The student's question revolves around calculating the probability that out of eight adults selected at random, at most five are concerned about Social Security numbers being used for identification. This involves adding the probabilities of exactly 0, 1, 2, 3, 4, and 5 adults concerned, which can also be referred to as the cumulative probability of at most 5 concerned adults.
To find these probabilities, typically one would need the probability of a single adult being concerned about Social Security identification, which is not provided in the question. Assuming we have this base probability, we could use the binomial formula to calculate each of the probabilities P(r = 0) through P(r = 5) and then sum them. This sum would indeed be the same as the cumulative probability P(r ≤ 5).
By providing the probabilities and using a calculator or software for the binomial distribution, we can obtain the required probability, rounded to three decimal places. Without the base probability or distribution details, we cannot calculate the exact probability.