At Winchester University ( a large university) 43% of the student body belongs to an ethnic minority. Suppose that 25 students are selected at random; that is, each student is independent of the other students. Let the random variable X count the number of students out of 25 that belong to an ethnic minority
A) State the distribution of the random variable given above
B) Compute the probability that at most 7 of the 25 selected students belong to an ethnic minority
C) Compute the probability that only 4 of the 25 selected students belong to an ethnic minority
D) Compute the probability that more than 12 of the 25 selected students belong to an ethnic minority
E) Compute and interpret P(X >equal to 8)
F) Using the mean and standard deviation; describe the number of students who belong to an ethnic minority in a typical group of 25 students
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