Question

determine whether or not the distribution is a discrete probability distribution and select the reason why or why not.

x	0	1	4
p(x = x)	0.7	0.05	0.25

answer
first, decide whether the distribution is a discrete probability distribution, then select the reason for making this decision.
decide
○ yes ○ no
reason

Explanation:

Step1: Check probability range

All probabilities $P(X = x)$ must be between 0 and 1. Here, $0.7\geq0$ and $0.7\leq1$, $0.05\geq0$ and $0.05\leq1$, $0.25\geq0$ and $0.25\leq1$.

Step2: Check sum of probabilities

Calculate the sum of probabilities $\sum P(X = x)=0.7 + 0.05+0.25$.
$0.7 + 0.05+0.25 = 1$

Answer:

Yes, Since the probabilities lie inclusively between 0 and 1 and the sum of the probabilities is equal to 1.