Blood type AB is the rarest blood type, occurring in only 4% of the population in the United States. In Australia, only 1.5% of the population has blood type AB. Suppose a random sample of 50 U.S. residents and 40 Australians is obtained. Consider the random variables described below:
X: the number of U.S. residents with blood type AB
Y: the number of Australians with blood type AB
Required:
What is the probability that exactly 2 of the U.S. residents have blood type AB?