An engineering statistics class has 40 students; 60% are

QUESTION:

An engineering statistics class has 40 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. Determine the following:

(a) \(f_{x y}(x, y)\)                 (b) \(f_{x}(x)\)

(c) \(E(X)\)                         (d) \(f_{y \mid 3}(y)\)

(e) \(E(Y \mid X=3)\)                 (f) \(V(Y \mid X=3)\)

(g) Are X and Y independent?

Equation transcription:

Text transcription:

f_{x y}(x, y)

f_{x}(x)

E(X)

f_{y \mid 3}(y)

E(Y \mid X=3)

V(Y \mid X=3)