Step 1 :This problem is about binomial probability. The binomial distribution model is suitable for a quantitative variable that counts the number of successes in a fixed number of trials of a binary, or yes/no, outcome. Here, the 'success' is defined as a U.S. adult who favors the use of unmanned drones by police agencies. The probability of success (p) is 0.29, and the number of trials (n) is 12.
Step 2 :For part (a), we need to find the probability that exactly 3 out of 12 adults favor the use of drones.
Step 3 :For part (b), we need to find the probability that at least 4 out of 12 adults favor the use of drones. This is equivalent to 1 minus the probability that 3 or fewer adults favor the use of drones.
Step 4 :For part (c), we need to find the probability that less than 8 out of 12 adults favor the use of drones. This is equivalent to the sum of the probabilities that 0, 1, 2, 3, 4, 5, 6, or 7 adults favor the use of drones.
Step 5 :Using the given values of p = 0.29 and n = 12, we can calculate the probabilities for each part.
Step 6 :For part (a), the probability that exactly 3 out of 12 U.S. adults favor the use of unmanned drones by police agencies is approximately \(\boxed{0.246}\).
Step 7 :For part (b), the probability that at least 4 out of 12 U.S. adults favor the use of unmanned drones by police agencies is approximately \(\boxed{0.476}\).
Step 8 :For part (c), the probability that less than 8 out of 12 U.S. adults favor the use of unmanned drones by police agencies is approximately \(\boxed{0.992}\).