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CE93Engineering Data Analysis
Prof. Joan Walker, Spring 2011
Assignment 9: Special Distribution and Sampling Statistics
Due 4/13/2011 11:10 AM
1.
If
T
has a tdistribution with 8 degrees of freedom, find:
a.
P(
T
≥ 1)
b.
P(
T
≤ 2)
c.
P(
1 ≤
T
≤ 1)
2.
Suppose you are waiting for the 51B bus to go to the BART station. The 51B bus arrivals at your bus
stop can be approximately be described as a Poisson process with a rate of 1 bus every 12 minutes.
a.
What is the probability that there are 3 or more 51B bus arrivals in 20 minutes?
b.
What is the distribution of the times between 51B bus arrivals?
(Hint: It’s a special distribution)
c.
What is the variance of the time between 51B bus arrivals?
d.
If you just missed the bus, find the probability that you’ll have to wait more than
20 minutes for
your next bus.
e.
If you arrive at the bus stop
t
minutes after the last bus has departed (
t
is unknown), find the
probability t
hat you’ll have to wait more than 20 minutes for your next bus.
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This note was uploaded on 06/02/2011 for the course CIV ENG 93 taught by Professor Staff during the Spring '08 term at University of California, Berkeley.
 Spring '08
 Staff

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