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North Carolina State University posts the grade distributions for its courses online. Students in Statistics 101 in the Fall 2007 semester received 26% A's, 42% B's, 20% C's, 10% D's, and 2% F's. Choose a Statistics 101 student at random. To "choose at random" means to give every student the same chance to be chosen. The student's grade on a four-point scale (with A = 4) is a discrete random variable X with this probability distribution:
Value of X 0 1 2 3 4Probability 0.02 0.10 0.20 0.42 0.26
(a) What values of random variable X are represented by the event "the student got a grade poorer than C"? Write the answer as a comma-separated list.
(b) What is the probability of the event from part (a)?
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