![= (c) (2pts) Let Sn U1 + U2 + ... + Un be a sum of independent uniform random variables on [0, 1]. Approximate the probabilit](https://i.imgur.com/inx8T9f.png)
Answers
+ un Soo TODO Sn = u, +U2 + be a sum of independent Uniform distribution RU10,1) Pl 5,000, soo|ssoo >, 225) pl { oi?soo noi ?225) Pl qui > 225) Pl0; > 225 n I og ? 24S) Soo looo Soo 3-501 Soo Eluol = Pl 10,2 225 ) to / vlug) - Pl», 245) 1000 245 - Elºg) (By CLT) Ě el 2 1000 (2.0) Sol 1000 245 - IE (Us) = Plzo, Sol 1000 Ev (0) Sol 245 - Soox 112 =plz Soox x 1 . 20 - P12), 3.10 ) - 0.001 6.45 = 8/2>, Required probability 0.00! A
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