Determine whether the distribution is a discrete probability distribution. x P(x) 0 0.160.16 1 0.350.35 2 0.220.22 3 0.070.07 4 0.200.20 Is the distribution a discrete probability distribution? A. Yes, because each probability is between 0 and 1, inclusive. B. Yes, because the sum of the probabilities is equal to 1. C. Yes, because the sum of the probabilities is equal to 1 and each probability is between 0 and 1, inclusive. D. No, because the sum of the probabilities is not equal to 1.

C. Yes, because the sum of the probabilities is equal to 1 and each probability is between 0 and 1, inclusive.

Step-by-step explanation:

We have the probability distribution described by:

X P(X)

0 0.16

1 0.35

2 0.22

3 0.07

4 0.20

The possible values for X are 0, 1, 2, 3, 4 and 5. The sum of the probabilities for this value of X is 1 (or 100%).

Then, the answer is C. Yes, because the sum of the probabilities is equal to 1 and each probability is between 0 and 1, inclusive.

1. substitution

2. transitive property