116k views
0 votes
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

User Cheersmate
by
4.6k points

1 Answer

3 votes

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.

User DarkteK
by
5.8k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.