Probability Distribution of a Random Variable, Study notes of Mathematics

An activity that demonstrates the concept of probability distribution for a random variable. It includes finding the values of the random variable, constructing its probability distribution, and creating a histogram. The document also covers the properties of a probability distribution, such as the sum of probabilities and the probability of each value. Additionally, it explains how to illustrate the probability distribution of a discrete random variable.

Typology: Study notes

2023/2024

Uploaded on 03/25/2024

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Probability Distribution

Probability Distribution

  • The probability distribution of a random variable

describes how the probabilities are distributed over

the values of the random variable.

Activity

  • Four coins are tossed. Let Y be the random variable representing the number of tails that occur.

A) Find the values of the random variable Y.

B) Construct the probability distribution of Y and its corresponding histogram.