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A university has 14 statistics classes scheduled for its Summer 2013 term. 1 class has space available for 40 students, eight classes have space for 50 students, 1 class has space for 70 students, and four classes have space for 100 students.
Space is available for 910 students. Suppose that each class is filled to capacity and select a statistics student at random. Let the random variable X equal the size of the student's class. Define the PDF for X. (Enter your answers as fractions.)
x p(x=x) x*p(x=x)
40 _____ __________
50 _______ _________
70 ________ ____________
100 __________ ___________
(c) Find the mean of X. (Enter your answer as a whole number.) ______________ students
(d) Find the standard deviation of X. (Round your answer to two decimal places.) _________ students
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