28. In Exercise 5, suppose that any incoming individual is equally likely to be assigned to any of the three stations irrespective of where other individuals have been assigned.

What is the probability that

a. All three family members are assigned to the same station?

b. At most two family members are assigned to the same station?

c. Every family member is assigned to a different station?

P(A2 ´ A3) 5 .10 P(A1 ¨ A2 ¨ A3) 5 .01 P(A1 ´ A2) 5 .13 P(A1 ´ A3) 5 .14 P(A1) 5 .12 P(A2) 5 .07 P(A3) 5 .05 Ai (i 5 1,2,3)