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MATH 221 Week 4 Discussion Post

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Both Discrete and Continuous Random Variables

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MATH 221 Week 4 Discussion Post
Both Discrete and Continuous Random Variables Discussion Post #3
Professor Ramanathan


A variable is a quantity whose value changes.

A discrete variable is a variable whose value is obtained by counting.

Examples: number of students present
number of red marbles in a jar
number of heads when flipping three coins
students’ grade level

A continuous variable is a variable whose value is obtained by measuring.

Examples: height of students in class
weight of students in class
time it takes to get to school
distance traveled between classes

A random variable is a variable whose value is a numerical outcome of a random phenomenon.

Examples:
▪ A random variable is denoted with a capital letter
▪ The probability distribution of a random variable X tells what the possible values of X are
and how probabilities are assigned to those values
▪ A random variable can be discrete or continuous

A discrete random variable X has a countable number of possible values.

Then the probability distribution of X is as follows:


X 2 3 4 5 6 7 8 9 10 11 12

P(X)




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