No, if you are thinking of Randy Jackson off American Idol, but Michael did have a brother called Randy who was in the Jackson 5 along with the other brothers.
Yes, he is the youngest of the brothers and is often called little Randy. By the way... this isn't Randy Jackson off American Idol, if that's what you're thinking.
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Randy is the Youngest Jackson boy, and second Youngest child. he was born in 1961. He joined the Jacksons in 1975, when they left Motown for Epic. Jermaine stayed with Motown, so Randy took his place...