Mimi just started her tennis class three weeks ago. On average, she is able to return 35% of her opponent's serves. Let random number X be the number of serves Mimi returns. As we know, the distribution of X is a binomial probability distribution. If her opponent serves 10 times, please answer the following questions:
What is the number of trials (n), probability of successes (p) and probability of failures (q), respectively?
Find the probability that she returns at least 2 of the 10 serves from her opponent .
Find the mean and standard deviation for the probability distribution.