Question

For given list of members in a universal set U.

Members         A         B

1                      a1        b1

2                      a2        b1

3                      a3        b2

4                      a1        b2

5                      a1        b2

6                      a2        b1

7                      a3        b1

8                      a1        b2

9                      a1        b2

10                    a3        b2

Write Probability distribution table for

(a) P(A, B)

(b) P(A)

(c) P(B)

(d) P(A|B=b1)

Answer 1

G P (A,B) Plai, b) Pla₂, bi) Plaz, bg) p can be P (a₂b2 - Plazib₂) = - = = /10 2/10 Vio 4)10 = 2/10 Tb. 10.1 0.2 0.1 be Touto 10.2 O PCA) : Plap)= Pla,bi) + Pla, b₂ ) = 0.1+0.4=0.5 P caz) = 0.240 = 0.2 Plaz) = 0.1 +0.2 = 0.3 A l alal az P(A) 10.5 10.2 10.3 - 7 PCB) : - B PCB) Ibi bz ou T 0.6 do PLA IB= bx) = PLA and B=61)/PCB=61) PCA 18-ho) 0.5 0.25