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# a) Calculate the probability that there will be at least two women in each of the groups.

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(1)

1

2

3

1

1

1

2

3

1

2

3

−3

−4

3

(0,a]

161

X1

X3

12

2

3

(2)

1

2

3

1

1

1

2

3

1

2

3

−2

38

−3

2

(0,2a]

271

X1

X5

2

2

(3)

1

2

3

1

1

1

2

3

1

2

3

−3

19

−3

2

(0,3a]

18

X1

X2

13

2

4

(4)

1

2

3

1

1

1

2

3

1

2

3

−2

14

−4

3

(0,2a]

161

X1

X4

2

3

### b) Calculate the mean duration of the shorter call (in hours).

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