Question

Determine whether the distribution is a discrete probability distribution. If not, state why.

x	P(x)
0	0.1
1	0.5
2	0.05
3	0.25
4	0.1

Answer 1

Given distribution is in table form.

x	0	1	2	3	4
P(x)	0.1	0.5	0.05	0.25	0.1

Check whether the distribution is a discrete probability distribution.

To be a discrete probability distribution, we must have a numerical random variable \(x\) such that \(P(x)\) must satisfy the preceding three requirements.

1. The variable \(x\) is a discrete random variable and its values are associated with probabilities.

2. \(\sum P(x)=P(0)+P(1)+P(2)+P(3)+P(4)\)

\(=0.1+0.5+0.05+0.25+0.1\)

\(=1\)

3. Each value of \(P(x)\) is between 0 and 1 .

The given table is a discrete probability distribution because it satisfies the discrete probability distribution's three requirements.