According to a study in the Psychological Bulletin, about 11% of males and 9% of females are left-handed. A random sample of 30 males and 40 females was chosen. Let X be the number of males who are left-handed. Let Y be the number of females who are left-handed. What is the probability that no more than 2 of the 40 females are left-handed? Round to 3 decimal digits.
