Question

Adults 18 and older were asked if they were in favor of lowering the drinking age to 18 in California. Among the randomly selected adults surveyed, 351 adults were in favor of lowering the drinking age, 2428 adults were not in favor of lowering the drinking age, and 49 adults had no opinion.

a. What is the probability that a randomly selected adult is in favor of lowering the drinking age to 18 based on the survey results?
b. Determine the probability that a randomly selected adult had no opinion regarding lowering the drinking age to 18 according to the survey data.

Answer 1

The probability that a randomly selected adult is in favor of lowering the drinking age is 12.4%. The probability that a randomly selected adult had no opinion is 1.7%.

Step-by-step explanation:

a. To find the probability that a randomly selected adult is in favor of lowering the drinking age, we need to divide the number of adults in favor by the total number of adults surveyed. The number of adults in favor is 351 and the total number of adults surveyed is 351 + 2428 + 49 = 2828. So the probability is 351/2828 = 0.124 or 12.4%.

b. To find the probability that a randomly selected adult had no opinion, we need to divide the number of adults with no opinion by the total number of adults surveyed. The number of adults with no opinion is 49 and the total number of adults surveyed is 351 + 2428 + 49 = 2828. So the probability is 49/2828 = 0.017 or 1.7%.