Four friends are contemplating joining a local bowling league. Let X 1 ,X 2 ,X 3 ,X 4 be the score of the first, second, third, and fourth friend, respectively, on a randomly chosen game. From past experience, the friends know that: E(X 1 )=110, E(X 2 )=125, E(X 3 )=113, and E(X 4 )=140. Additionally, σ 1 =7, σ 1 =13, σ 1 =10, and σ 1 =20. Define their total score on a randomly chosen game as Y=X 1 +X 2 +X 3 +X 4 . Assume the four players' scores are independent.
-Calculate the variance of their total score on a randomly chosen game.

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The Answer of Four friends are contemplating joining a local bowling league. Let X 1 ,X 2 ,X 3 ,X 4 be the score of the first, second, third, and fourth friend, respectively, on a randomly chosen game. From past experience, the friends know that: E(X 1 )=110, E(X 2 )=125, E(X 3 )=113, and E(X 4 )=140. Additionally, σ 1 =7, σ 1 =13, σ 1 =10, and σ 1 =20. Define their total score on a randomly chosen game as Y=X 1 +X 2 +X 3 +X 4 . Assume the four players' scores are independent.
-Calculate the variance of their total score on a randomly chosen game.

Four Friends Are Contemplating Joining a Local Bowling League