An ecologist is collecting snails. She collects a total of 100 snails. There are a total of 30 species of snail, and each snail is equally likely to be any of the species. (a) What is the expected number of species of snails she collects? (b) What is the variance of the number of species of snails she collects? (c) Using the one-sided Chebyshev inequality, find a bound on the prob- ability that she collects at least 28 species