Final answer:
For a binomial trial with a probability of success of 0.3, you would expect 150 successes out of 500 trials, as calculated by the formula for the mean of a binomial distribution.
Step-by-step explanation:
If a binomial trial has a probability of success of 0.3, you would expect the number of successes out of 500 trials to be calculated using the formula for the mean of a binomial distribution, which is μ = np. Here, n is the number of trials, which is 500, and p is the probability of success on any given trial, which is 0.3. Therefore, the expected number of successes is μ = 500 × 0.3 = 150.