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Suppose that the probability of a student successfully completing Mth102 with a C or better is 75%, and 5 students are randomly selected from the

Suppose that the probability of a student successfully completing Mth102 with a C or better is 75%, and 5 students are randomly selected from the population of Mth102 students at ECC. If we define X as the number of Mth102 students who successfully complete the course with a C or better, does X follow a binomial distribution? Check all statements below that apply

Two distinct outcomes - yes, each student either earns a C or better or does not

Fixed number of trials - no, we do not know how many students will be successful. Fixed number of trials - yes, there are 5 students

Constant probability - yes, the probability for each student (since they are randomly selected) is 0.75

Two distinct outcomes - no, because students can earn an A, B, C, D, or F.

Trials are independent - yes, they are randomly selected

Constant probability - no, the probability is not the same for each.

Trials are independent - no, because the students could be related.

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