To determine if a table can represent a probability distribution, it must meet two key criteria:

1. Each probability must be between 0 and 1, inclusive.
2. The sum of the probabilities must equal 1.

Let's check both criteria:

1. All probabilities in the table are between 0 and 1:

   • $0.0086, 0.2971, 0.1435, 0.3417, 0.2091$ are all within the range $[0, 1]$.

2. Sum of the probabilities: $0.0086 + 0.2971 + 0.1435 + 0.3417 + 0.2091 = 1$

Since the sum equals 1, yes, this can be a probability distribution.

Would you like further details or have any questions?

Here are 5 questions related to this:

1. What are the properties of a probability distribution?
2. Can a probability distribution have negative values?
3. How do you interpret a probability of zero?
4. What is the difference between a discrete and a continuous probability distribution?
5. How do you verify if a set of probabilities is valid?

Tip: Always check that the sum of probabilities equals 1 when verifying a probability distribution!