Q2—Stats And Prob Flashcards
A branch of mathematics that deals with 4 major processes
Statistics
2 types of Statistics
- Descriptive statistics
- Inferential Statistics
(Type of Variable)
Values obtained by counting
Discrete Random Variable
(Type of Variable)
Values obtained by measuring
Continuous Random Variable
Formula for the probability
P(E)= Number of favorable outcomes/Number of all outcomes
A function whose value is a real number determined by each element in the sample space
Random Variable
Steps in getting the values of a random Variable
- Determine the sample space
- Determine the possible values of a Random Variable
Steps in Probability Distribution of a Discrete Random Variable
- Determine the sample space.
- Count the number of favorable outcome(ex. Green balls) in each outcome
- Assign the probability values P(X) to each value of the random variable
The central value or average of its corresponding probability mass function.
Mean
Formula for the Mean
Summation of X • P(X)
Steps in Finding the mean
- Construct the probability distribution for the random variable
- Multiply the value of the random variable by the corresponding probability
- Add the results obtained in step 2
Are two values that describe how scattered or spread out the scores are from the mean value of the random variable
Variance and Standard Deviation
Variance Formula
ó²= Summation of (x-mean)²•P(X)
Formula of Standard Deviation
Square root of Summation of (x-mean)²•P(X)
(Symbol)
ó²
Variance
(Symbol)
ó
Standard Deviation
The most important of all continuous probability distribution
The Normal Curve
Also known as the three sigma rule
The Empirical Rule