AP Statistics 2.8 Probability Distributions Overview

Construct a discrete probability distribution as a table, graph, or function and verify that all possible probabilities sum to one.

Covered syllabus points

2.8.A—Construct a probability distribution for a discrete random variable

A charity fundraiser has a Spin the Pointer game that uses a spinner like the one illustrated in the figure below.

Figure for Question 2.8 Introduction to Random Variables and Probability Distributions question 1 — AP Statistics

A donation of $2 is required to play the game. For each $2 donation, a player spins the pointer once and receives the amount of money indicated in the sector where the pointer lands on the wheel. The spinner has an equal probability of landing in each of the 10 sectors.

Let X represent the net contribution to the charity when one person plays the game once. Complete the table for the probability distribution of X.

Table for Question 2.8 Introduction to Random Variables and Probability Distributions question 1 — AP Statistics

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Covered syllabus points

2.8 Introduction to Random Variables and Probability Distributions question 1