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11 January, 16:55

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.

X is a binomial random variable with n = 50 and p = 0.04

Y is a binomial random variable with n = 40 and p = 0.015

Z is a binomial random variable with n = 90 and p = 0.055

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  1. 11 January, 17:07
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    Given details are:

    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.

    Following are true:

    X is a binomial random variable with n = 50 and p = 0.04

    Y is a binomial random variable with n = 40 and p = 0.015

    Explanation:

    The sentences for X and Y are true. The sentence for Z is not true because Z=X+Y and X and Y do not have same probabilities.
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