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Mathematics, 28.02.2021 16:20 quay39

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?

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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