Question

determine whether the distribution is a discrete probability distribution.
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.

Explanation:

Step1: Check probability range

Each \( P(x) \) value: \( 0.28, 0.24, 0.14, 0.22, 0.12 \) is between \( 0 \) and \( 1 \).

Step2: Calculate sum of probabilities

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A discrete probability distribution must satisfy two conditions: \( 0\leq P(x)\leq1 \) for all \( x \), and \( \sum P(x)=1 \).

Answer:

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