Questions: Question 3 of 10 This test 100 point(s) possible This question: 10 point(s) possible In the following probability distribution, the random variable X represents the number of marriages an individual aged 15 years or older has been involved in Complete parts (a) through (f). x 0 1 2 3 4 5 P(x) 0.288 0.522 0.146 0.039 0.004 0.001 (a) Verify that this is a discrete probability distribution This is a discrete probability distribution because the sum of the probabilities is (Type an integer or a decimal Do not round) and each probability is between 0 and 1, inclusive (b) Graph the discrete probability distribution Choose the correct graph.

Question 3 of 10 This test 100 point(s) possible This question: 10 point(s) possible In the following probability distribution, the random variable X represents the number of marriages an individual aged 15 years or older has been involved in Complete parts (a) through (f). x 0 1 2 3 4 5 P(x) 0.288 0.522 0.146 0.039 0.004 0.001 (a) Verify that this is a discrete probability distribution This is a discrete probability distribution because the sum of the probabilities is (Type an integer or a decimal Do not round) and each probability is between 0 and 1, inclusive (b) Graph the discrete probability distribution Choose the correct graph.
Transcript text: Question 3 of 10 This test 100 point(s) possible This question: 10 point(s) possible In the following probability distribution, the random variable X represents the number of marriages an individual aged 15 years or older has been involved in Complete parts (a) through (f). \begin{tabular}{c|c|c|c|c|c|c} $\mathbf{x}$ & 0 & 1 & 2 & 3 & 4 & 5 \\ \hline $\mathbf{P}(\mathrm{x})$ & 0.288 & 0.522 & 0.146 & 0.039 & 0.004 & 0.001 \end{tabular} (a) Verify that this is a discrete probability distribution This is a discrete probability distribution because the sum of the probabilities is (Type an integer or a decimal Do not round) $\square$ and each probability is between 0 and 1 , inclusive $\square$ (b) Graph the discrete probability distribution Choose the correct graph.
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Solution

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Solution Steps

Step 1: Verify the sum of the probabilities

The sum of the probabilities is: \[ 0.288 + 0.522 + 0.146 + 0.039 + 0.004 + 0.001 = 1.000 \]

Step 2: Check if each probability is between 0 and 1

Each probability is between 0 and 1, inclusive.

Final Answer

This is a discrete probability distribution because the sum of the probabilities is 1.000 and each probability is between 0 and 1, inclusive.

{"axisType": 3, "coordSystem": {"xmin": -1, "xmax": 6, "ymin": 0, "ymax": 0.6}, "commands": ["y = 0.288", "y = 0.522", "y = 0.146", "y = 0.039", "y = 0.004", "y = 0.001"], "latex_expressions": ["$P(X=0) = 0.288$", "$P(X=1) = 0.522$", "$P(X=2) = 0.146$", "$P(X=3) = 0.039$", "$P(X=4) = 0.004$", "$P(X=5) = 0.001$"]}

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