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A recent data showed that 78% of the statistics students pass the class.

i) If we randomly select 20 statistics students, what is the probability that exactly half of them would pass?

ii) If we randomly select 30 statistics students, what is the probability that less than 10 of them would pass?

iii) If we randomly select 40 statistics students, what is the probability that at least 30 of them would pass?

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