(e) -2.725 .1020
Solution: a
Past performance 1996 Dec - 95%
18. The following are percentages of fat found in 5 samples of each of two
brands of ice cream:
A
B
5.7
6.3
4.5
5.7
6.2
5.9
6.3
6.4
7.3
5.1
Which of the following procedures is appropriate to te
Question 4
RFID reader transmits 1W power on the channel
whose frequency is fc =2.45 GHz. A tag is located
at a distance 2m from the reader. The reader
antenna has a gain G = 2.
(a) Compute the power PT received by the tag in
dBm using a free space propag
where , ! , are constants and denotes the usual delta-function. Your final answer
may not contain the convolution operator.
Solution:
Applying Laplace transform on both sides we have
! () = ! 0 ! (0)
() = ()
!
!
+
!
!
Therefore the transformed solutio
F-1 (7.0 Points): Use two different methods to find the general solution of the following
nonhomogeneous Euler-Cauchy DE (3.5 Points for each).
! ! + ! 4 = ! + !
Solution:
Method I:
Plug in test solution = ! to solve homogeneous equation:
1 + 4 ! = 0 !
3. (10 pts) Let X be a continuous random variable with pdf
0 < x < 2 and zero otherwise.
(a) Find Pcfw_X + 2X < 3.
2
)Ct -1 3
/
c
)
(b) Find the variance of X.
)
I
X)
-S
f(x)
=
for
4. (10 pts) Let Z be the standard normal, i.e., N(0, 1).
(a) Find the prob
AMS 361: Applied Calculus IV by Prof. Y. Deng
Final Exam: (05/09/2012) at 5:15PM-7:45PM Arena
(1)
(2)
Closed book test with up to 3 pages (double-sided A4) of formulas
Do any three of the four problems. If all four are attempted, the best
three (and only
1. (8 pts) Find the probability that a five-card poker hand (i.e. 5 out of
a 52-card deck) will be:
(a) Four of a kind, that is four cards of the same value and one card
of a different value (xxxxy shape).
(b) Full house, that is 3 cards of the same value
7. (10 pts) Let X
Poisson(.\).
(a) Derive the moment generating function of X, i.e.
,
find E etX
eA
Poisson(3) and Y
Poisson(5). Assume X and Y
(b) Suppose X
are independent. Find the distribution of Y X by using part (a).
(You can just say the name of th
The eigenvector for = 3:
2 2
2 2
0
1
= 0 = 1
The eigenvector for = 1:
2 2
2 2
0
1
= 0 = 1
Homogeneous solution is then
!
1
1
! = = ! !
+ ! !
!
1
1
To find particular solution, note that RHS can be written as
! = ! 1 + ! 0
0
1
!
Now to solve, use trial
AMS 361: Applied Calculus IV by Prof. Y. Deng
Final Exam
(12/18/2012) at 11:15am-1: 45pm
137 Harrimann and ESS 001
(1)
(2)
Closed book test with up to 3 pages (double-sided A4) of formulas
Do any three of the four problems. If all four are attempted, the
3.9 A 12llil—‘lur ae supply- delivers power to a load modeled as a 5-H resistance in
series with a 3-H indwotive reactanoe. Find the motive, reactive and apparent
power consumption of the load along with its power factor. Draw its power
triangle.
_ _~ I
Question 2
Describe two greedy receiver attacks that only
require modification to the receiver (but not the
sender) to get higher throughput than a normal
receiver. Implement it in ns-2 and submit the
source code using turn in (turnin -submit apurvb
CS356
Question 1
1) In homework 4, you evaluate a greedy sender
using UDP traffic. In this problem, we changed the
tcl script to use TCP traffic. Please copy hw5 files
using cp r /v/filer4b/v27q001/cs356R/nsallinone-2.35/ns-2.35/hw5 ns-2.35/hw5. Report
throughp
(e) The assumption of independence is not important for non-parametric
procedures.
Solution: e
Past performance 1990 Apr - 78% (C-11%)
9. A researcher wishes to test a particular hypothesis about a new technique
that has been developed in the laboratory.
(e) Herbicides A and B differ in effectiveness.
Solution: b
The next three questions refer to the following situation
The Excellent Drug Company claims its aspirin tablets will relieve headaches
faster than any other aspirin on the market. To determine wh
removed because it was agreed that their disbursements are not subject to federal
spending limitations in the way that other programs are.
Granof Test Bank Chapter 1 Page 380
Multiple Choice Questions
Hypothesis Testing - Populations Means from
two indepe
Solution: a
Past performance 1991 Apr - 82%
22. The rejection region in terms of WA at =0.05 is:
(a) Reject H if WA 2 29
(b) Reject H if WA 3 55
(c) Reject H if WA 2 36
(d) Reject H if WA 2 27
(e) Reject H if WA 2 34
Solution: a
Past performance 1991 Apr
Question 3
Solution 3
If transmit energy (ptx) dominates prefer
multihop routing. This is because multihop routing
means each hop is shorter and incurs less
transmission energy. Note that reduction in
distance results in at least quadratic reduction of
pt
c. Express the impedance of each in polar form 2 = 21¢ and Iocmngulal form
3: a +ﬁ:l_
SDLN:
Z: = —jXE = —j2‘.l553 = 26521 — 91]”
21 =jXL =j2652=3652£9W
ER=1=L£IT
:1. Write the meals through each ofthe three components in the form of phasors.
I = iméqb and
Solution 1 (Cont.)
UDP goodput (Mbps)
CWMin_
Normal
3
0.094
7
0.533
15
1.159
Greedy
3.542
3.163
2.571
Solution 1 (Cont.)
Main difference: the greedy sender gets much larger share
of network bandwidth under UDP than TCP.
Reasons:
TCP source needs to wait f
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