Maths and Logic Puzzle

Part 1. Logic question. This part is worth 5 points.
In a house with 3 bedrooms, there are 2 adults (A1, A2) and 3 children (C1, C2, C3)

A1 has been coughing for the past 5 weeks and need good rest.
A2 needs to go to work the next day and need good rest.
C1 has been running a fever for the past 2 nights.  Possibly infectious.
C2 has been on good behaviour and has just recovered from the last flu round.
C3 sleeps well at night, if and only if he is close to A1.

How should the occupants of the house be allocated for the night in order to minimize the possibility of germ spreading, and maximize the sleep quality of each person?


Part 2. Mathematical question.  This part is worth 5 points.
This is a series of actual events that happened on the night of 29 August 2011. An adult, A1, went to bed at midnight and woke up at 9am in the morning. Calculate the average length of sleep that is experienced by the person A1, assuming that she fully wakes up at the occurance of each of the following events.

12:00am   C2 whimper in dreams. C3 is woken up by the loud sounds, then cried for 1/2 hour without going back to sleep
12:30am   A1 feed C3
1:00am   A1 has been coughing continuously. Got up to kitchen to get some cough syrup
3:00am    C3 wakes up again due to the coughing sounds.   He kicks so hard that he rolled off the mattress and hit the floor.
3:30am    A1 feed C3
4:00am    A1 discover that the bed is all wet due to leaking milk. Got up and change tshirt.
4:30am    C1 wakes up complains of fever. A2 got up and administer panadol and ventolin.
5:00am    A1 still coughing. Got up for more cough syrup
6:00am    C2 wakes up and started wondering aloud, "Mami, Mami, where are you?" x6 until everybody wakes up. C2 goes back to sleep though. C3 sits up and begins to play in bed.
6:30am    C1 complains he wants to vomit and feigns amnesia. "Where am i? Where should i vomit? Where is the toilet? Is this the toilet? Where do i vomit in the toilet?" loud enough to wake the house up again.
7:00am    C2 demands A1 to unzip his pj.
8:00am    C1 & C2 run around the house, laughing and roaming into all bedrooms.
9:00am    A1 woke up exhausted and screamed, "Enough is enough. Off to school you lot! No body seemed to be genuinely sick!"



Part 3. Statistics question.  This part is optional, and is worth 5 bonus points.

Compare the above scenario with the following events which occurred in June 2011.
Then calculate the likelihood that A1 will want an extra child in the foreseeable future.

1am   C2 wakes up, wanders into the corridor, and start screaming for "Mami!" until everybody else wakes up. Threats, bribery, negotiation, every trick is used to coax him back into his own bed.

2am   C3 stirs and want a feed.  Won't go back to sleep, sits up and stares at the lamp for half an hour.
4am   C1 wakes up, goes for a pee, wonders where everybody is, and snuggle into A2 bed.
6am    C2 wakes up and demands A2 to help him get out of his pyjamas.
7am    C3 wakes up and want a feed. With satisfaction, he proceeds to make a mega-poo in his nappy, which caused it to sometimes leaked out into the bedsheets, which prompts A1 to jump up for an emergency clean up.