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Elza [17]
3 years ago
9

Two students, A and B, are working independently on homework (not necessarily for the same class). Student A takes X = Exp(1) ho

urs to finish his or her homework, while B takes Y = Exp(2) hours. (a) Find the CDF of X/Y , the ratio of their problem-solving times. (b) Find the probability that A finishes his or her homework before B does.

Mathematics
1 answer:
OleMash [197]3 years ago
7 0

Answer:

a) The CDF of X/Y is calculated as:

F_{z} (\zeta) = \frac{\zeta}{\zeta + 2} for 0 < \zeta < \infty  

F_{z} (\zeta) = 0 for \zeta \leq 0

Note: Z = X/Y

b) Probability that A finishes before B = 1/3

Step-by-step explanation:

For clarity and easiness of expression, this solution is handwritten and attached as a file. Check the complete solution in the attached file.

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