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Unformatted text preview: s goes down is about 500 days. Given that
one machine goes down, the probability the other machine goes down within the ﬁve day repair
time is about 5/1000=1/200. That is, the number of repair cycles until a double outage occurs
has a geometric distribution with parameter about 1/200, so on average, we’ll have to wait for 200
cycles, each averaging about 500 days. Therefore, the mean total waiting time until double outage
is about 500 × 200 = 100, 000 days, or approximately 274 years. Chapter 3 Continuoustype random variables
Chapter 2 dealt largely with discretetype random variables, and ﬁnite collections of events. Much
of this chapter will involve continuoustype random variables, which have distributions described
by density functions, rather than by mass functions. The relationship of mass functions to density
functions is analogous to the relationship of peanuts to peanut butter. Whereas peanuts have mass
in discrete quantities, peanut butter has similar mass that can be spread out. A general, although
somewhat complicated, way to describe the distribution of any...
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This note was uploaded on 02/09/2014 for the course ISYE 2027 taught by Professor Zahrn during the Spring '08 term at Georgia Institute of Technology.
 Spring '08
 Zahrn
 The Land

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