The taste test for PTC (phenylthiourea) is a common class demonstration in the study of genetics. It is known that 70% of Canadians are "tasters" and 30% are "non-tasters." Suppose a genetics class of size 20 does the test to see if they match the Canadian percentage of "tasters" and "non-tasters." (Assume the assignment of students to classes constitutes a random process.)
a. What is the probability distribution of the random variable x, the number of "non-tasters" in the class?
b. Find P(3 < x < 9).
c. Find the mean of x.
d. Find the variance of x.
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