(a) fXY (x, y)           (b) fX (x )               (c) E (X )

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Q1. An engineering statistics class has 265 students; 60% are electrical engineering majors, 10% are industrial engineering majors, and 30% are mechanical engineering majors. A sample of four students is selected randomly without replacement for a project team. Let X and Y denote the number of industrial engineering and mechanical engineering majors, respectively (Hint: range for both variables is 0..4). Determine the following:

(a) fXY (x, y)           (b) fX (x )               (c) E (X )

(d) fY|3 (y)             (e) E (Y|X = 3)     (f) V (Y|X = 3)     (g) Are X and Y  independent? Why?

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