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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.

Respuesta :

Answer:

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.

Answer:

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 are given the following probability distribution below;

                 X                                P(X)

                 0                                0.16

                 1                                 0.35

                 2                                0.22

                 3                                0.07

                 4                                0.20

Now, we have to determine whether the distribution is a discrete probability distribution or not.

As we know that for any distribution to be a discrete probability distribution,

  • Each value must have a respective probability to it.
  • The sum of all the probabilities must be equal to 1, i.e. P(X) = 1.
  • The value of each probability must be between 0 and 1.

So, [tex]\sum P(X)[/tex] = 0.16 + 0.35 + 0.22 + 0.07 + 0.20 = 1

Therefore, Yes, the given distribution is a discrete probability distribution because the sum of the probabilities is equal to 1 and each probability is between 0 and​ 1, inclusive.

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