STAT AND PROB Flashcards
is a list of the possible values of X and the corresponding probabilities of the values. It specifies the probability associated with each possible value of the random variable
probability distribution of a discrete random variable X
The sum of all the probabilities of all values of the random variable must be
equal to 1. In symbol, we write it as 𝜮𝑷(𝑿) = 𝟏
The probability of each value of the random variable must be
between or equal to 0 and 1. in symbol 0< p(x)<1
are variables that can take on a finite number of distinct values. In easier definition, discrete random variable is a set of possible outcomes that is countable.
discrete random variables
are random variables that take an infinitely uncountable number of potential values, regularly measurable amounts.
continous random variable
is a capacity that connects a real number with every component in the sample space. It is a variable whose qualities are controlled by chance. In this manner, a random variable is a numerical amount that is derived from the results of an arbitrary trial or experiment.
random variable
is a measure of how much the probability mass is spread out around the center which is the mean
variance of discrete random variable
is a weighted average of the possible values that the random variable can take.
mean of discrete random variable µ
-Also known as Gaussian Distribution
-Normal Curve is a bell curve
-Symmetric about the mean
normal distribution
Mean, median and mode are equal and located at the______ of the Distribution
center
A normal distribution curve is
unimodal
The distribution curve is asymptotic to the
x- axis
The total area under the normal curve is
1
Table of Areas under the Normal Curve
z-table
a measure of relative standing
z-score
Represents the distance between a given measurement X and the mean,expressed in standard deviations
z-score
Who is the first french-born mathematician who proved the first version of the central limit theorem?
abraham de moivre
refers to the entire group that is under study or investigation
population
a subset taken from population. It is a representation of the population where one hopes to draw valid conclusions from about the population
sample
in which each member of the population is given equal chance to be chosen as part of the sample.
random sampling
the measurement or quantity that describes the sample
statistics
The measurement or quantity that describes the population
parameter
It was the English statistician who was one of the first to discover the Student’s t – distribution.
William Sealy Gosset
refer to the number of independent observations in a given set of data.
degrees of freedom
The number of independent observations is sample size minus one or in symbols
df=n-1
the t-distribution can still be utilized for moderately skewed population
distribution given that it is unimodal, without outliers and size is at least
40
is one of the measurements in statistics which tells the value below in which an observations’ percentage in a set of observations falls
percentile
the range of values that you expect your estimate to fall between a certain percentage.
confidence interval
The confidence level is denoted by
(1 – α)100%
