Probability and Random Process 1 Construct conditional PDF a

(Probability and Random Process)

#1) Construct “conditional PDF and pdf” if the condition is given as: M = {m₁ < X < m₂}.

#2) A uniform pdf is non-zero within the range of -2< X < 7.

a) Use the result from problem #1 and find f_X(x|-3<X<5).

b) Find mean, mean-square and variance under the condition -3<X<5.

Solution