QUESTION IMAGE
Question
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).
describe the shape of the distribution.
the distribution
Step1: Analyze the probabilities
We observe the probabilities \(P(X)\) for different values of \(X\). The probability is highest (\(P(X = 1)=0.569\)) for \(X = 1\), and as \(X\) increases beyond \(1\) (i.e., \(X=2,3,4,5\)), the probabilities \(P(X)\) decrease.
Step2: Determine the skewness
Since the tail of the distribution (for \(X>1\)) is on the right - hand side (as probabilities decrease for larger \(X\) values) and the peak is at \(X = 1\).
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The distribution is unimodal and is skewed right.