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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 PostBoth 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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