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What two features must a sample have if its to accurately represent a population?
The sample must be large and random.
What is the difference between random variable and random variate?
Random variables is a function that can produce outcomes with different probability and random variates is the particular outcome of a random variable.
What is a random variable?
A random variable is a function that assigns unique numerical values to all possible outcomes of a random experiment. A real valued function defined on a sample space of an experiment is also called random variable.
The set of all possible outcomes of a random experiment is called?
Sample: The answer is called Sample space.
What is a random sample?
A random sample is a selection from the population of interest where each item (persons, households, widgets, etc.) has an equal chance of being selected. The idea being that measuring a random sample of sufficient size will accurately (within a margin of error) reflect the "true" value that exists in the population - while at the same time reducing your study to a manageable size. A random sample is integral in good survey design to reduce bias in your experiment.
