For the lucky draw, the prize committee of a school has decided to randomly purchase 3 cell phones of a certain brand from the 6 sets available at the shop. Unknowing to the committee, 2 of the sets are of imitation brand. Defining X as the number of genuine sets purchased, determine a) the probability distribution of X. b) the cumulative distribution of X. c) the mean and variance of X.

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13. For the lucky draw, the prize committee of a school has decided to randomly
purchase 3 cell phones of a certain brand from the 6 sets available at the
shop. Unknowing to the committee, 2 of the sets are of imitation brand.
Defining X as the number of genuine sets purchased, determine
a) the probability distribution of X.
b) the cumulative distribution of X.
c) the mean and variance of X.
Transcribed Image Text:13. For the lucky draw, the prize committee of a school has decided to randomly purchase 3 cell phones of a certain brand from the 6 sets available at the shop. Unknowing to the committee, 2 of the sets are of imitation brand. Defining X as the number of genuine sets purchased, determine a) the probability distribution of X. b) the cumulative distribution of X. c) the mean and variance of X.
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