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In the probability distribution to the right 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 below a Verify that this is a discrete probability distribution This is a discrete probability distribution because and the of the probabilities is Type whole numbers Use ascending order b Draw a graph of the probability distribution Describe the shape of the distribution Graph the probability distribution Choose the correct graph below OA 0 6 0 5 0 4 0 3 0 2 0 1 0 0 1 2 3 4 Number of Marriages Q Q The distribution 5 OB 0 6 0 5 0 4 0 3 0 2 0 1 0 0 1 2 3 4 5 Number of Marriages Describe the shape of the distribution EEXCE and is C c Compute and interpret the mean of the random variable X Hx marriages Type an integer or a decimal Do not round Which of the following interpretations of the mean is correct 0 6 0 5 0 4 0 3 0 2 0 1 0 0 1 2 3 4 5 Number of Marriages Q OD X 0 1 2 3 4 5 between and inclusive A P x O 0 272 0 585 0 112 0 026 0 004 0 001 0 6 0 5 0 4 0 3 0 24 0 1 0 0 1 2 3 4 5 Number of Marriages OA If many randomly selected individuals 40 to 49 years of age were surveyed the sample mean number of marriages should be close to the mean of the random variable OB If any number of individuals aged 15 year or older were surveyed the sample mean number of marriages should be close to the mean of the random variable OC If many individuals aged 15 year or older were surveyed the sample mean number of marriages should be close to the mean of the random variable OD If many randomly selected individuals aged 15 years or older were surveyed the observed number of marriages will be equal to the mean number of marriages for most individuals

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