Final answer:
The mean of a random variable X following a binomial distribution with 5 trials and a success probability of 0.52 is 2.6.
Step-by-step explanation:
If p = 0.52, and we are conducting 5 trials, we want to find the mean of the random variable X which follows a binomial distribution, denoted as X ~ B(n, p). The formula for finding the mean (or expected value) of a binomial random variable X is μ = np.
Substituting the given values into this formula, we get:
Mean μ = n * p
μ = 5 * 0.52
μ = 2.6
Therefore, the mean of random variable X in 5 trials with a success probability of 0.52 is 2.6.