Answer
a) Frequency distribution
b) Probability distribution
c) $4.7$, statistic
d) $4.5$, parameter
e) The mean has to be around $4.5$
Work Step by Step
a) The table on the left is a frequency distribution.
b) The table on the right is a probability distribution, because the right column shows the probability of the given event occuring.
c) The mean is:
$\frac{\sum x}{n}$, where $n$ is the number of values.
Hence:$\overline{x}=4.7$. This result is statistic.
d) The probabilities are all the same, hence the mean will be the center of the data set, which is $4.5$. (The result is a parameter.)
e) We would expect the mean to be the mean of the probability distribution, which is $4.5$.
