Maurice Tutor

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Teaching Since: May 2017
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  • MCS,PHD
    Argosy University/ Phoniex University/
    Nov-2005 - Oct-2011

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  • Professor
    Phoniex University
    Oct-2001 - Nov-2016

Category > Management Posted 17 Jan 2018 My Price 4.00

picture of the region

13.   You have two lightbulbs for a particular lamp. Let X = the lifetime of the rst bulb and Y = the lifetime of the second bulb (both in 1000 s of hours). Sup- pose that X and Y are independent and that each has an exponential distribution with parameter l = 1.

a.   What is the joint pdf of X and Y?

b.   What is the probability that each bulb lasts at most 1000 hours (i.e., X 1 and Y 1)?

c.    What is the probability that the total lifetime of the two bulbs is at most 2? [Hint: Draw a picture of the region A = {(x, y): x > 0, y > 0, x + y 2} before integrating.]

d.   What is the probability that the total lifetime is between 1 and 2?

Answers

Maurice Tutor
(5)
Status NEW Posted 17 Jan 2018 10:01 PM My Price 4.00

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