Probability and Statistics for Engineering
Homework 6
Spring 2011
(due Tuesday, March 8)
(1)
Consider the Weibull random variable
with parameters
and
.
\
œ %
œ
!
"
#
$
(a)
Find
.
Give the exact answer, simplified completely, and then find a decimal
IÒ\Ó
approximation, rounded to four decimal places.
(b)
Write out the density function
for
.
Be sure to include the values of
to which
0ÐBÑ
\
B
the function applies (and similarly for the other functions below).
(c)
Write out the cumulative distribution function
.
JÐ>Ñ
(d)
Write out the reliability function
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 Spring '09
 Probability distribution, Probability theory, #, Cumulative distribution function, decimal places

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