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In: Statistics and Probability

Say the fraction of students at college 1 who took statistics is given by 1/4. Say...

Say the fraction of students at college 1 who took statistics is given by 1/4. Say the fraction of students at college 2 who took statistics is given by 3/5. You survey 10 people from each college (so 20 people in total).

(a) What is the probability that more than half of the students surveyed from college 1 took statistics?

(b) What is the probability that more than half of the students surveyed from college 2 took statistics?

(c) Assuming that the colleges are independent, what is the probability that more than half of the students surveyed from college 1 took statistics and more than half of the students surveyed from college 2 took statistics?

(d) Assuming that the colleges are independent, what is the probability that more than half of the students surveyed from college 1 took statistics, or more than half of the students surveyed from college 2 took statistics?

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