The poet Thomas Tusser was the first to write "Sweet April, showers do spring May Flowers" in the 1500, leading to the saying heard commonly today Suppose the probability that it rains on any given day in April is equal to 0.4 and that the weather on all days is independent of the weather on any other day.

What is the mean and variance of the number of days you can expect it to rain in the month of april (30 days)?