The table shows the number of touchdowns Luis scored during his football games.

Touchdowns scored (x) 0 1 2 3

Name of games (f) 6 10 7 5

(a) Create a probability distribution table.

We are given frequency distribution in the question

to find the probability distribution from frequency distribution we need to divide frequency by total number of observations.

Here, total number of observations are 6+10+7+5=28

so, we will have probability distribution table as

X 0 1 2 3

P (x).21.35.25.17

probability distributiuon describes all possible values that a random variable can take within a given range.

frequency distribution is the presentation that presents number of observation in given interval.