Why is no one answering my questions????? Suppose that there are 4 students who are independently...

Why is no one answering my questions?????

Suppose that there are 4 students who are independently taking a pop quiz. They started taking the pop quiz at the same time. The finishing time for the pop quiz (in mins) for student j (for j=1,2,3,4) has a uniform distribution on the interval [0,j].

Solve for the probability that...

exactly 1 student finishes the pop quiz in less than 1 min
all 4 students finish the pop quiz in less than 30 secs

Solutions

Expert Solution

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p= 0.25 Now, probability that all 4 students finish the pop quiz in less than 30 sec cine. 05 minutes) is p( max C X1, X2 ,X3 X4) 5 0-5) = P ( x, < 0-5, X2 +0.5, X3 505, X440-5) = P(x,0.5) P(X2 <0.5) p(x3 +0-5) prx450-5) =() (05) (05) Com) = 0.0 625 24 = 0.0026

orchestra answered 2 years ago

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