Question

A stick is broken into three pieces at two randomly chosen points on the stick. What is the probability

that no piece is longer than half the length of the stick?

To do this problem, it is useful to split it into the following steps (assuming the length of stick is 1).

(a) Let U1 and U2 are independent and uniformly distributed on (0, 1). Define X = min(U1, U2) and

Y = max(U1, U2). Use the fact that P(a < X < Y < b) = P(a < U1 < b, a < U2 < b) =

P(a < U1 < b)P(a < U2 < b) = (b

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Answer #1

breken ints 3 parts by choosung 8 point Pand , it AP:1, p9-$948-L-x-y O ": No Past 스hould be greatn.thantL) le Space Ae a 2(2) (을 babili 4

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Answer 1

breken ints 3 parts by choosung 8 point Pand , it AP:1, p9-$948-L-x-y O ": No Past 스hould be greatn.thantL) le Space Ae a 2(2) (을 babili 4