CT3

i;m thinking about clock tower 3 again someone stop me.

anyway, a long long time ago [strums guitar] i had written a fanfiction where ralph and alyssa actually had a conversation about rooders and entities because clearly that was the only way to go about it. (no)

the main point of the fic was– do rooders and subordinates really have a choice? sort of. gosh this suddenly feels difficult to explain.

but, as we know, rooders are born throughout generations. they have no choice in the matter. they always get dragged into the war, it seems. it feels like it would be rather rare for a rooder girl to have the choice not to fight against the subordinates. even then, if she is able to escape from those duties, she is under the constant worry of one of her own family members killing her to become an entity.

being born a rooder sounds like a tough thing ok you just can’t catch a break until your powers are gone. (and then u have rooder daughters)

they just don’t really get a say whether or not they want to be a part of this never-ending war WHICH IS REALLY DEPRESSING IF YOU SIT THERE AND THINK ABOUT IT. YOU ARE DESTINED TO FIGHT THE FORCES OF THE UNDEAD WHILE AT THE SAME TIME OCCUPIED WITH THE CONCERN THAT YOUR OWN FAMILY MIGHT KILL YOU FOR THEIR OWN PERSONAL GAIN.

the same is SORT OF true for subordinates as well. at least in my opinion. since an entity CHOOSES its vessel, the subordinate doesn’t really get to go “hey i don’t want to be ur undead minion bro” though most of them PROBABLY don’t have an issue with it. but there are those cases where you have to think back to the headcanon of:

“did all subordinates start off as evil, or were they just like everybody else, until they were possessed in a moment of weakness/hatred? did they really have a choice to be in this war either?”

not that i feel overly sympathetic for them. corroder was clearly a scumbag before he was a subordinate, :V though the books of the entities mention that robert morris wasn’t a violent man until WHOOPS SUDDENLY KILLS A BUNCH OF PEOPLE and chopper only killed when i got turned down LIKE THAT WAS WHEN THE ENTITY GOT HIM BECAUSE HE WAS FULL OF HATE/LOATHING and with the twins nobody knows but i like to think that the entities found them when they were young and were like HEY WE’RE GOING TO ‘RAISE’ THESE CHILDREN TO BE THE PERFECT BODIES TO INHABIT

it’s like everyone in the war between entities vs rooders is something all the players don’t have a choice but to be a part of. you know. aside from the entities. they probably have a grand 'ole time using everyone as pawns. yep.

Distributions

Poisson distribution

When we talk about Average then we use this distribution.

 It expresses the probability of a given number of events occurring in a fixed interval of time and/or space if these events occur with a known average rate and independently of the time since the last event. The Poisson distribution can also be used for the number of events in other specified intervals such as distance, area or volume.

Here we always assume λ (parameter of Poisson distribution) is >0.

P(x)= e^(- λ) λ^(x) /x!

E(x)= λ = var(x)

We also do binomial approximation.

In this when we are given bin(n.p) where n (no of trials) is very large and the p (probability) is very small. Then we use Poisson distribution.

I.e. λ = np and we will solve it by Poisson distribution.

 

 

 

 

 

Negative binomial distribution

Here the number of successes in a sequence of Bernoulli trials before a specified (non-random) number of failures (denoted r) occurs.

For example, if we define a “1” as failure, and all non-“1"s as successes, and we throw a die repeatedly until the third time “1” appears (r = three failures), then the probability distribution of the number of non-“1”s that had appeared will be negative binomial.

It is the no of trials at which we get last success.

It is two types Type I and Type II

Var(x)>E(x)

 

 

 

 

 

 

Waiting time in a Bernoulli process

For the special case where r is an integer, the negative binomial distribution is known as the Pascal distribution.

 It is the probability distribution of a certain number of failures and successes in a series of independent and identically distributed Bernoulli trials.

 For k + r Bernoulli trials with success probability p, the negative binomial gives the probability of k successes and r failures, with a failure on the last trial.

 In other words, the negative binomial distribution is the probability distribution of the number of successes before the rth failure in a Bernoulli process, with probability p of successes on each trial.

Consider the following example. Suppose we repeatedly throw a die, and consider a “1” to be a “failure”. The probability of failure on each trial is 1/6. The number of successes before the third failure belongs to the infinite set { 0, 1, 2, 3, … }. That number of successes is a negative-binomial distributed random variable.

When r = 1 we get the probability distribution of number of successes before the first failure (i.e. the probability of the first failure occurring on the (k + 1)st trial), which is a geometric distribution.

:)

clock tower 3 scissortwin headcanons

THIS TOOK FOREVER TO WRITE

Anyway, Leanne and I were talking about our CT3 headcanons so here are all the ones I have for the Scissortwins, (mainly Ralph– I have less headcanons about Jemima because basically any of Mix’s headcanons for her are my headcanons);

  • Their parents were of the lower class. They loved the twins dearly, but were both killed by soldiers in times of war. Ralph and Jemima did not witness this– Ralph was promised by his father that they would return, and when they did not, he felt betrayed and distraught. (I used to think their father was a noble but eeehhh changed my mind.)
  • His distraught stems off the fact that Jemima was always very ill. He wasn’t sure if he’d be able to take care of her on his own, especially since he wasn’t very old at the time. He tried to help her anyway– feeling abandoned by his parents he couldn’t bear to lose his sister. 
  • Jemima was doomed to die. Her health would get worse and worse, and it drove Ralph further into despair– he tried to pretend like she’d somehow get better, and he never gave up on her. Unfortunately in his desperation to keep her alive he would get beaten for stealing, or go without food himself so that she could eat. It wore down on him physically and mentally to the point where he would break down when he thought Jemima wasn’t looking. (She noticed this sometimes anyways, as she’d wake up to him crying or punching the walls.)

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