Answer: To find the probability of having less than 4 successes in 9 independent trials of a binomial experiment with a probability of success of 0.5, you can use technology or a binomial probability table. Using technology, you can calculate this probability by summing the individual probabilities of having 0, 1, 2, and 3 successes in 9 trials. Alternatively, you can use the binomial probability formula: P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) where P(X = k) represents the probability of having exactly k successes in n trials. Using the binomial probability formula, you can calculate the probabilities for each number of successes: P(X = 0) = (9 C 0) * (0.5)^0 * (0.5)^(9-0) P(X = 1) = (9 C 1) * (0.5)^1 * (0.5)^(9-1) P(X = 2) = (9 C 2) * (0.5)^2 * (0.5)^(9-2) P(X = 3) = (9 C 3) * (0.5)^3 * (0.5)^(9-3) where (n C k) represents the combination of n items taken k at a time. Calculating each probability, you can then add them together to find P(X < 4). Let me know if there's anything else I can help you with!
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