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Answer:
X is a discrete random variable.
X can take values from 0 to 12:
Step-by-step explanation:
(a) X = the number of unbroken eggs in a randomly chosen standard egg carton
X is a discrete random variable.
The minimum amount of eggs broken is 0 and the maximum amount of eggs broken is 12 (assuming a dozen egg carton).
Then, X can take values from 0 to 12:
About the probability ditribution nothing can be said, because there is no information about it (it can be a binomial, uniform or non-standard distribution).