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

Question

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 US residents (out of 50) with blood type AB.
Y: the number of Australians (out of 40) with blood type AB.
Z: the total number of individuals (out of 90) with blood type AB.

Which of the following is true about the random variables X, Y, and Z? Check all that apply.
A.X is a binomial random variable with n = 50 and p = 0.04
B. Y is a binomial random variable with n = 40 and p = 0.015
C. Z is a binomial random variable with n = 90 and p = 0.055

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