Question

A listing of all possible outcomes of an experiment and their corresponding probabilities of occurrence is...

A listing of all possible outcomes of an experiment and their corresponding probabilities of occurrence is called a ____________.

random variable

subjective probability

frequency distribution

probability distribution

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Concepts and reason

The concepts of random variable, subjective probability, frequency distribution and probability distribution are used here to solve the problem.

A random variable is a variable which represents a quantity. This quantity can vary from value to value. It can be either discrete or continuous.

Probability distribution function is a function that associates probabilities with various values of a random variable. The probability distribution function for a discrete random variable is called probability mass function and probability distribution function for a continuous random variable is called probability density function.

Frequency distribution can be defined as a table that shows all the possible outcomes and the frequency associated with each outcome.

Subjective probability can be defined as a type of probability that determined based on the judgement of individuals.

Fundamentals

A random variable can vary within a particular interval. The types of random variables are discrete random variable and continuous random variable.

Probability distribution function provides the associates probabilities with various values of a random variable.

Frequency distribution provides the associated frequency of each possible outcome of a study.

Subjective probability is calculated on the basis of the judgement of individuals.

First option, “random variable” is an incorrect choice because random variable does not shows all possible outcomes along with the probabilities.

Second option, “subjective probability” is wrong because the probability is calculated based on the personal judgement in case of subjective probability.

Third option, “frequency distribution” is incorrect because it provides the associated frequency of each possible outcome of a study.

Fourth option, “probability distribution” is a correct choice because it shows all possible outcomes of an experiment along with the probabilities.

Ans:

A listing of all possible outcomes of an experiment and their corresponding probabilities of occurrence is called a probability distribution.

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