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What does it mean for an event to be independent of itself?
Hint: The literal meaning of independent events is the events which occur freely of each other. In other words, the occurrence of one event does not affect the occurrence of the other. The probability of occurring of the two events are independent of each other. The events A and B are independent if. P(A∩B)=P(A)P(B)
What does it mean to choose uniformly at random?
“Uniformly” means without applying any preference to a particular part of a region. So, if you were choosing uniformly amongst a discrete set of options, say the numbers 1 through 10, you’re just as likely to choose 5 as you are 2: the probability of drawing any given number is 110. “
How to define independent random variables in statistics?
Remember, two events A and B are independent if we have P ( A, B) = P ( A) P ( B) (remember comma means and, i.e., P ( A, B) = P ( A and B) = P ( A ∩ B) ). Similarly, we have the following definition for independent discrete random variables. Consider two discrete random variables X and Y. We say that X and Y are independent if
How is random selection used to pick people?
In order to pick participants, they might choose people using a technique that is the statistical equivalent of a coin toss. They might begin by using random selection to pick geographic regions from which to draw participants.
What is the difference between random selection and random assignment?
Random selection refers to how the sample is drawn from the population as a whole, while random assignment refers to how the participants are then assigned to either the experimental or control groups. It is possible to have both random selection and random assignment in an experiment.
When do you need more than one random variable?
In real life, we usually need to deal with more than one random variable. For example, if you study physical characteristics of people in a certain area, you might pick a person at random and then look at his/her weight, height, etc.