Of 375 musicians at a high school, some play only in the jazz band, some play only in the marching band, and some play in both.
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The marginal distribution for gender tells you the probability that a randomly selected person taken from this sample is either male or female, regardless of their blood type.
In this case, we have total sample size of 714 people. Of these, 379 are male and 335 are female. Then the marginal probability mass function would be
where G is a random variable taking on one of two values (male or female).