Final answer:
To find the probability of x successes in a binomial probability experiment, use the binomial probability formula. In this case, find the probabilities for x=0, x=1, x=2, and x=3 using technology. Then add these probabilities to find the probability of x<4.
Step-by-step explanation:
To find the probability of x successes in the n independent trials of a binomial probability experiment, we can use the binomial probability formula. In this case, the given parameters are n=9, p=0.45, and x<4. Since x is less than 4, we need to find the probabilities for x=0, x=1, x=2, and x=3. Using technology, such as a calculator or statistical software, we can calculate these probabilities.
Using a calculator or statistical software, the probability of x=0 is approximately 0.073, the probability of x=1 is approximately 0.239, the probability of x=2 is approximately 0.349, and the probability of x=3 is approximately 0.315. We can add these probabilities to find the probability of x<4.