mixed discrete-continuous random variable

mixed dis·crete-con·tin·u·ous ran·dom var·i·a·ble

a random variable that may assume some values with probabilities and others with probability densities. For example, in a 35-year-old man with familial polyposis of the colon, the distribution of time until malignant disease occurs consists of a probability that he already has cancer (which would be assigned the waiting time 0), a probability density of developing it in the future, and a probability that he will die of some other cause before he develops cancer.
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