AP Statistics 2.8 A Construct a Probability Distribution for a Discrete Random Variable Questions

Practise constructing discrete probability distributions by mapping random outcomes to numerical values, combining their probabilities, and checking that the total is one.

Exam points

list every possible value of a discrete random variable and combine outcomes that produce the same value
calculate a missing probability from the random process or from the requirement that all probabilities sum to one
construct or select a distribution table or graph by counting how often each random-variable value occurs

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

Figure for Question AP Statistics 2.8 A Construct a Probability Distribution for a Discrete Random Variable Questions 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 AP Statistics 2.8 A Construct a Probability Distribution for a Discrete Random Variable Questions question 1 — AP Statistics

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AP Statistics 2.8 A Construct a Probability Distribution for a Discrete Random Variable Questions question 1