Answered by AI, Verified by Human Experts

Final answer:The probability that at least 8 of the 9 participants will correctly identify the tap water is approximately 0.0195.Explanation:To calculate the probability that at least 8 of the 9 participants will correctly identify the tap water, we can use the binomial probability formula:P(X≥k) = 1 - P(X) { Where P(X≥k) is the probability of getting k or more successes.The probability of correctly identifying the tap water is 1/2 since there are two options (tap water or bottled water) and assuming they cannot taste the difference.The probability of getting 8 or more successes can be calculated by summing the probabilities of getting exactly 8, 9 successes:P(X≥8) = P(X=8) + P(X=9)= C(9, 8) * (1/2)^8 * (1/2)^1 + C(9, 9) * (1/2)^9 * (1/2)^0= 9 * (1/2)^8 * (1/2) + 1 * (1/2)^9= 9/512 + 1/512= 10/512= 5/256≈ 0.0195...

Unlock full access for 72 hours, watch your grades skyrocket.

For just $0.99 cents, get access to the powerful quizwhiz chrome extension that automatically solves your homework using AI. Subscription renews at $5.99/week.