Stat 4714 HW 4 Fall 2010 – Due Friday 9/17 at 1:15pm
NOTE: YOU WILL NOT GET THIS HW BACK BEFORE THE EXAM. YOU SHOULD MAKE A COPY OF IT
BEFORE TURNING IN SO YOU CAN COMPARE YOUR WORK TO THE SOLUTIONS.
(1) Both m’
x
(t) and m’’
x
(t) for the binomial distribution are given below.
a.
Find E(X
2
).
b.
Find
σ
2
.
c.
Find
σ
.
(2) Identify the distribution for each using the mgf:
a.
m
x
(t) =
b.
m
x
(t) = (.2 +.8e
t
)
7
c.
m
x
(t) = (.4e
t
)
13
/(1  .6e
t
)
13
(3) How many times would you expect to toss a balanced coin in order to obtain the first head?
(4) A new surgical procedure is successful with a probability of .8. Assume the operation is performed 5
times and the results are independent of one another. What is the probability that all five operations
are successful?
(5) A certain type of tree has seedlings dispersed in a large area, with the mean density of seedlings
being approximately five per square yard. If a forester randomly locates ten 1yard sampling regions
in the area, find the probability that none of the regions contain seedlings.
(6) A geological study indicates that an exploratory oil well drilled in a particular region should strike oil
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
This is the end of the preview.
Sign up
to
access the rest of the document.
 '07
 MQLemons
 Statistics, Binomial, Standard Deviation, 10 weeks, 100 weeks, green light data

Click to edit the document details