The marks obtained by a number of students in a certain subject are approximately normally distributed with mean 65 and standard deviation 5. If 3 students are selected at random from this group, what is the probability that at least 1 of them would have scored above 75?
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If X represents the marks obtained by the students, X ~Normal (65, 5) P (A student scores above 75) = P(X>75) = P ((75-65)/5 < (X-65)/5