Answer:
a) This is a discrete probability function because all the probabilities are between 0 and 1, inclusive, and the sum of the probabilities is 1
b) Option A is correct
The distribution is right skewed and has only one mode
c) The mean of the random variable x = 1.6266
Explanation:
Discrete probability function includes events with finite outcomes
The number of occurrences are countable
Therefore, it is a discrete probability function because all the probabilities are between 0 and 1, inclusive, and the sum of the probabilities is 1
b) By comparing the number of hits(x) and the probability p(x) on the table, only the graph in option A represents the probability distribution
As shown in the graph above, the graph is right-skewed, and has a single mode
c) The mean is calculated as:
[tex]\begin{gathered} \mu_x=\sum ^{}_{}xP(x)_{} \\ \mu_x=\text{ (0}\times0.1684)+(1\times0.3356)+(2\times0.2836)+(3\times0.1502)+(4\times0.0378)+(5\times0.0244) \end{gathered}[/tex][tex]\mu_x=1.6266[/tex]
