Question

Determine whether this table represents a probability distribution.xP(x)00.0510.120.330.55Yes, it is a probability distributionNo, it is not a probability distribution

Answer 1

Recall that to determine if a table represents a probability distribution, the sum of the probabilities must add up to 1, and all the probabilities have to be positive numbers less or equal to 1.

Now, notice that:

`0.05+0.1+0.3+0.55=1.`

From the table, we notice that all the given probabilities are positive numbers between 0 and 1. Therefore, we can conclude that the given table represents a probability distribution.

Answer:

Yes, it is a probability distribution.