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Probability and Statistics for Engineering
Homework 4
Spring 2011
(due Tuesday, February 22)
On all parts, remember to show your work and use correct notation!
(1)
The incidence of strokes in the St. Louis area is a Poisson process, and there is an average
of 18 per week.
What is the probability that there will be between 90 and 100 strokes
(including 90 and 100) in the St. Louis area during the next six weeks?
Round your answer
to four decimal places.
(2) Consider the following function
, which could possibly be a density function for a
0
continuous random variable
.
\
0ÐBÑ œ /
! Ÿ B Ÿ 
*
%
#B
(a)
Find the value of
which makes this function a density.
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This document was uploaded on 05/15/2011.
 Spring '09

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