Final answer:
The mean of the binomial distribution is 32.24, the variance is 23.9456, and the standard deviation is approximately 4.893.
Step-by-step explanation:
To find the mean of a binomial distribution, you can use the equation μ = np, where n is the number of trials and p is the probability of success. In this case, n = 124 and p = 0.26, so μ = 124 * 0.26 = 32.24.
To find the variance of a binomial distribution, you can use the equation o² = npq, where q is the probability of failure (1 - p). In this case, q = 1 - 0.26 = 0.74, so o² = 124 * 0.26 * 0.74 = 23.9456.
To find the standard deviation of a binomial distribution, you can use the equation o = √(npq). In this case, o = √(124 * 0.26 * 0.74) = √(23.9456) ≈ 4.893.