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Statistics and Probability Continuous and Discrete
Typology: Lecture notes
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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 students’ sections number of red balls in a jar number of heads when flipping 3 coins
Activity: Anton, a grade 11 student in St. Patrick School joins the try out for varsity team in basketball. He wants to prove that his height of 5’ will not be a hindrance for being accepted in the varsity team. He was able to shoot the ball outside the 3-point area 5 times out of 10 attempts. Do you think Anton will become a varsity player? Why or Why not? MATHEMATICAL CONCEPTS
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 A random variable is a variable whose value is a numerical outcome of a random phenomenon. A random variable is denoted with a capital letter The probability distribution of a random variable x tells what the possible values of X and how probabilities are assigned to those values. A random variable can be discrete or continuous. Materials: tape measure, empty tin can, ping pong balls Procedures:
Direction: Classify the following statements as Discrete or Continuous. Justify your answer for each classification.