A rose garden supplies roses of various colours to a florist. Everyday the gardener picks 200 roses and delivers them to the florist. There is a 30% chance that a red rose is primed to be picked by the gardener on a day. Find the probability that at most 70 red roses are delivered to the florist on a day. Compute the maximum integer m such that the probability that there are at least m red roses delivered to the florist on a day is at least 0.6.