Final answer:
To find the closest probability that fewer than 8 out of 10 adults wear glasses or contact lenses, one needs to calculate the sum of probabilities for 0 to 7 people wearing them using the binomial distribution formula or a distribution table. The information given is incomplete to answer directly, requiring independent calculation to obtain the result.
Step-by-step explanation:
The question pertains to the subject of probability, specifically to the binomial probability distribution. In the given scenario, 75 percent of adults wear glasses or contact lenses, and we want to know the probability that fewer than 8 out of a randomly selected sample of 10 adults in the United States wear glasses or contact lenses. This can be solved using a binomial probability formula or a binomial distribution table. To calculate the probability of exactly n people wearing glasses or contact lenses, we would use the binomial probability formula: P(X = n) = (10 choose n) * (0.75)^n * (0.25)^(10-n), where '10 choose n' is the binomial coefficient. However, since we want the probability of fewer than 8 people, we have to calculate the sum P(X < 8) = P(X = 0) + P(X = 1) + ... + P(X = 7). Without the actual computations here, we would typically add up the probabilities of getting 0 through 7 people who wear glasses or contact lenses using the mentioned formula or consult a binomial distribution table to find the cumulative probability. It seems that the content loaded does not directly provide the answer to this question, so we would need to carry out the binomial distribution calculations to get the correct probability and compare it to the options given (a, b, c, d).