Question

A cattle breeder has 100 black cows of breed X, 50 brown cows of breed Y...

A cattle breeder has 100 black cows of breed X, 50 brown cows of breed Y and 22 white cows of breed Y.

a. What is the probability of randomly selecting a white cow and having it be a member of breed X?
b. Is the breed of cow statistically independent from its color?
c. What is the probability of randomly selecting a cow and having it be brown or of breed X?
d. What is the probability of the event in which you select 2 cows, with replacement between each selection and find that you selected a brown cow and a cow of breed X?

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