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Total number of committees  = 11C3  = 165

Committees with :

0 women on the committee  =  5C3  = 10

1 woman on the committee = 6C1 * 5C2  =  60

2 women on the committee = 6C2 * 5 1  = 75

3 women on committee  = 6C3  = 20

Expected number of women =

0(10/165) + 1(60/165) + 2(75/165) + 3(20/165)  ≈ 1.64