rudiments o probability Flashcards
what is population?
the largest collection of entities for which we have an interest at a particular time.
what is a sample?
A part of a population.
What is Statistical Inference?
It is about making inferences about a population under study based on a sample drawn from the population.
what is a random experiment?
A random experiment is an experiment whose outcome can not be predicted in advance when it is performed
what is a mutually exclusive event?
Two events A and B are said to be mutually exclusive if A and B cannot occur simultaneously when we perform the experiment.
how is determined the probability that two or more mutually exclusive events happend?
By adding their probabilities such as: what are the probabilities to get a pair number when rolling a air dice
A = {2,4,6}. What is the probability that the number on the top face is even? p(A) = 1/6 + 1/6 + 1/6 = 1/2.
this events does not occure at the same time
what means that the probability is 1 or 0? explain
p(A)=1
means that the event A is sure to occur.
p(A)=0
means that the event A cannot occur.
0≤p(A)≤1
what is acomplementary event?
The complementary event of A is denoted by Ac
and it is the event consisting of those simple events or sample points not in A
how is the Intersection of two events equated?
what is the probability that A and B can occur at the same time?
by analizing and multipling the probabilities. I there is not possibility that both event occurre simultaneusly like:
A card is to be drawn at random from a standard deck of 52 cards. Let A denote the event that the card is a spade and B the event that it is a red card. What is the probability that both A and B occur? 0
how is the union of two events equated?
p(A∪B) = p(A) + p(B) – p(A∩B)