C2] Example: Student A takes X ~ Expo(A) hours to finish his homework, while Student B takes Y ~

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[C2] Example: Student A takes X - Expo(A) hours to finish his homework, while Student B takes Y ~
Expo(u) hours to finish her homework. Assume that X and Y are independent.
(a) Find the probability that Student A finishes his homework before Student B does.
(b) Find the distribution of the time T when the first student finishes his or her homework.
Transcribed Image Text:[C2] Example: Student A takes X - Expo(A) hours to finish his homework, while Student B takes Y ~ Expo(u) hours to finish her homework. Assume that X and Y are independent. (a) Find the probability that Student A finishes his homework before Student B does. (b) Find the distribution of the time T when the first student finishes his or her homework.
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