Determine whether the distribution is a discrete probability distribution. x âP(x) 0 0.21 1 0.28 2 0.02 3 0.28 4 0.21 Is the distribution a discrete probabilityâ distribution? Why? Choose the correct answer below. A. No comma because the total probability is not equal to 1. B. No comma because some of the probabilities have values greater than 1 or less than 0. C. Yes comma because the distribution is symmetric. D. Yes comma because the probabilities sum to 1 and are all between 0 and 1 comma inclusive.

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Answer:

D. Yes, because the probabilities sum to 1 and are all between 0 and 1, inclusive.

Step-by-step explanation:

0.21 + 0.28 + 0.02 + 0.28 + 0.21 = 1

All individual data are between 0 and 1. Data added up = 1

The true statement is (d) Yes, because the probabilities sum to 1 and are all between 0 and 1, inclusive.

For a distribution to be a discrete probability distribution, the following must be true

[tex]\sum P(x) =1[/tex]

So, we have:

[tex]\sum P(x) = 0.21 + 0.28 + 0.02 + 0.28 + 0.21[/tex]

Evaluate the sum

[tex]\sum P(x) =1[/tex]

The above statement shows that the distribution is a discrete probability distribution

Hence, the true statement is (d) Yes, because the probabilities sum to 1 and are all between 0 and 1, inclusive.

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