Discrete Maths I Flashcards
1
Q
What is the different between a continous and discrete variable?
A
- A variable is continuous if:
- It can take on any value between two specified values
- Persons body weight
- If not then its discrete
- The number of people in this classroom
2
Q
What is discretisation?
A
- Process of transferring continuous
- Functions
- Models
- Variables
- Equations
- Into discrete counterparts
- Which are more suitable for computer calculations
- As computers rep num with limited precision (1/3 = 0.33333..)
- Num Seq are stored as lists which have memory size limitations
3
Q
What is the Discretisation of this function?
A
Information is missing but easier to store in computer
4
Q
Hows does discretisation work in functions?
A
5
Q
What is discretization error work?
A
6
Q
What is probability?
A
The likelihood that a given event occurs, indicated by its probability - P
- P = 0 - It never happens
- P = 1 - It always does
7
Q
What is the probability of a Coin Toss?
A
- Head or Tails - 0 or 1
- P(x=0) = 0.5
- P(x=1) = 0.5 = 1 - P(x=0)
- Coin toss only has two possible outcomes
- Has Bernoulli distribution
8
Q
What is Bernoulli Distrabution?
A
9
Q
What is Binomial Distrabution?
A
- Distribution created by performing
- n (aka 1+) Bernouille trials
- With the probability P
- Each trial has its own outcome
- Large values on n the more approximate the outcomes are to normal distribution
10
Q
How does discrete uniform distrabution work in dice rolls?
A
11
Q
What is Poisson Distributions?
A
12
Q
How does Weighted Random Choices work in discrete distrabutions?
A
- Discrete distributions can have any shape
- One might have the following distribution for items in game
- Sum of distribution
- 86 = 1 + 5 + 54 + 54*4
- 86 = 1 + 5 + 20 + 60
- To find probability density
- You normalise the distribution
- By dividing all values by 86 (eg 60/86 ~ 0.7)
12
Q
A
