In a big university with over 10,000 students, 20% of all students work full time. A random sample of 100 students is selected from the university. Let X denote the number of students who work full time in the sample. a) What is the probability distribution of X? b) Find p(x = 20), p(x ≤ 20), p(x ≥ 20), respectively. c) Find p(15 ≤ X ≤ 25) and p(15 < X < 25). d) Find the mean and standard deviation of X.

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In a big university with over 10,000 students, 20% of all students work full time. A random sample of 100
students is selected from the university. Let X denote the number of students who work full time in the sample.
a) What is the probability distribution of X?
b) Find p(x = 20), p(x ≤ 20), p(x ≥ 20), respectively.
c) Find p(15 ≤ X ≤ 25) and p(15 < X < 25).
d) Find the mean and standard deviation of X.

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