45 Questions
Is a measure of the likelihood of a random phenomenon or chance behavior.
PROBABILITY
Values are always assigned on a scale from 0 to 1.
PROBABILITY
Near zero indicates an event is quite unlikely to occur.
PROBABILITY
Near one indicates an event is almost certain to occur.
PROBABILITY
Father of Modern Probability
BLAISE PASCAL
In statistics, the notion of an experiment differs somewhat from that of an experiment in the physical sciences.
STATISTICAL EXPERIMENTS
Probability determines outcomes
STATISTICAL EXPERIMENTS
for an experiment it is the set of all experimental outcomes.
SAMPLE SPACE
It is any process that generates well-defined outcomes
EXPERIMENT
are sometimes called random experiments.
STATISTICAL ELEMENTS
It is also called a sample point.
EXPERIMENTAL OUTCOME
The probability of drawing of any face card is 4/52
False
In statistical experiments, probability determines outcomes.
True
Blaise Pascal is the Father of Statistic and Probability.
False
An experimental point is also called a sample outcome.
False
Probability is a numerical measure of the likelihood that an event will occur.
True
The probability of drawing of any red card is 1/13.
False
Subjective method assigns probabilities based on educated guess.
True
If you will toss a coin two times then there are four outcomes.
True
The probability of drawing king of hearts in a deck of cards is 1/52.
True
Relative Frequency Method assigns probabilities based on experimentation.
True
The sample space for an experiment is the set of all experimental outcomes.
True
The sum of all the probabilities must be equal to 1.
True
Empirical Method assigns probabilities based on the assumption of equally likely outcomes.
False
The probability of drawing of a four card is 1/13
True
A probability near zero indicates an events is quite likely to occur.
False
Assigning probabilities based on the assumption of equally likely outcomes
ASSIGNING PROBABILITIES
An experiment is said to have equally likely outcomes when each simple event has the same probability of occurring.
CLASSICAL METHOD
It is also called Empirical method
RELATIVE FREQUENCY METHOD
Assigning probabilities based on experimentation or historical data
RELATIVE FREQUENCY METHOD
Assigning probabilities based on judgement
SUBJECTIVE METHOD
Are probabilities obtained based upon an educated guess.
SUBJECTIVE METHOD
is a collection of sample point
EVENT
It is equal to the sum of the probabilities of the sample points in the event.
PROBABILITY OF ANY EVENTS
It is defined to be the event consisting of all sample points that are not in A.
COMPLEMENT OF AN EVENT
It is the event containing all sample points that are in A or B or both.
UNION OF TWO EVENTS
It is denoted by A(c)
COMPLEMENT OF AN EVENT
It is A and B is denoted by AUB (A or B).
UNION OF TWO EVENTS
It is A and B is the set of all sample points that are in both A and B. It is A and B is denoted by A^B (A and B).
INTERSECTUION OF TWO EVENTS
It provides a way to compute the probability of event A, or B, or both A and B occurring. The law is written as: P( AUB ) = P(A) + P(B) - P( A^B )
ADDITION LAW
It is if the events have no sample points in common. It is if, when one event occurs, the other cannot occur.
MUTUALLY EXCLUSIVE EVENTS
The probability that a randomly selected murder victim was male is 0.7515. The probability that a randomly selected murder victim was less than 18 years old given that he was male was 0.1020. What is the probability that a randomly selected murder victim is male and is less than 18 years old?
0.7515 x 0.1020 = 0.0767
According to the Philippines Animal Welfare Society, 31.6% of Filipino households own a dog. What is the probability that a randomly selected household does not own a dog?
1 - 0.316 = 0.6840
There are 6 pillows in a bed, 3 are red, 2 are yellow and 1 is blue. What is the probability of picking a yellow pillow?
1/3 or 0.33
The probability that a student in this class is not an Economics major (E) is 28/50. What is the complement of P(E)?
28 / 50 = 0.56
Explore the concept of probability in statistics and its significance in measuring the likelihood of random phenomena. Understand how values are assigned on a scale from 0 to 1, indicating the likelihood of events from unlikely to almost certain. Delve into the differences in the notion of an experiment in statistics compared to the physical sciences.
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