Rabbits like to eat the cauliflowers in Mimi's garden. There are 10 cauliflowers in her garden which will be ready to harvest in about 10 days. Based on her experience, the probability of a cauliflower being eaten by the rabbits before harvest is 0.40.
a. Let X be the number of cauliflowers that Mimi harvests (that is, the number of cauliflowers not eaten by rabbits). As we know, the distribution of X is a binomial probability distribution. What is the number of trials (n), probability of successes (p) and probability of failures (q), respectively?
b. Find probability that Mimi harvests at least 8 of the 10 cauliflowers. (round the answer to 3 decimal places) Show all work. Just the answer, without supporting work, will receive no credit the probability that Mimi harvests at least 8 of the 10 cauliflowers. (round the answer to 3 decimal places) Show all work.