hw03 ChE 132C due Jan.26, 2011 1) A slot machine has three dials each with 20 symbols (cherries, oranges, lemons, plums, bells, and bars). Since each of the three dials may come to rest in any one of 20 positions there are 20x20x20 = 8000 permutations pos
hw01 ChE 132C due Jan.12, 2011 1) How many ways can you place 8 rooks on an 8x8 chessboard such that each row and column contains exactly one rook? Coach Yellsalot has 12 players, but two of them refuse to play together. How many starting lineups of 5 pla
, 9.
we»?
igiaf
3%
if , 1M
é
. 35
is
Q $3 Coach Yero/of
wLaF :1 {he shy/A14? ﬂtl’laq/a SfﬂLI/lZ’S w‘n MU play
66611 oi §~pas{w\ms? /2 players, Admd g wan/f.
S’WQ, Mil/"44W / T
deg/[k [0044“ A or 8 double amid
Vary (ﬁﬂﬂﬂfwi W W ﬁlms Law
13 16 in
,_._._»
PCMV Tmwwg V\,k0\ii7éd\g( .quor
W
E "PVDEONEHI'H rdakm gr Nw a} OCLHWALL
~ 03/
K9\ Mogprovs AchM 9 3 A
S >SAMPL SPALL'OL rPo 9.9:!ka ow!ng
® 7- l (1005):; (DWI/VA
0MP oWr-DM W
P9351 61: MM occquS
C9 E ?$ 80wa wewFa 50M sdwyéy
0
C?) l Ffechd you MK W? K
home aam)w\'\l\J-C1F{$Wq
as a Pewswlv w\ W Md"
3L9 Lours.
"W rlLW ZKNA ' Mk WML
{a ~/<
WK gar«tam? Mow th ~
* ~ We: crowk $943!.
@ [kdmfsmvfgieCw/th (-PfIWT/{pL/b
PM U 35» my» «Wm P(Ank\
Lk of O 4 Q
r 0?, E :L 1; = l
52.
AQUAHm
Chemical Engineering 132C
Winter Quarter, 2014
Homework 2 - due Thursday, January 31
(2-66) A credit card contains 16 digits between 0 and 9. However, only 100 million
numbers are valid. If a number is entered randomly, what is the p
!
Permutation: ways to select and arrange n elements from a set with N : = (NNn)!
N!
Combination: ways to select n elements from a set with N : = n!(N n)!
Permutations with indistinguishable groups: arrange N elements with k subgroups of n1 , n2 , ., nk
i
ChE 132C, Probability and Statistics
UCSB Winter Quarter 2017, hw03
1. Dekking et al. Exercise 4.13 (see hypergeometric notes)
2. Dekking et al. Exercise 4.14 (see negative binomial notes)
3. Dekking et al. Exercise 5.4
4. Dekking et al. Exercise 5.8
5. D
Probability and Statistics, ChE 132C,
Final exam, Winter 2016, Baron Peters
Use only the notesheet that is provided. No electronics. No books.
1)
The mechanism by which ethylene activates the Phillips catalyst is a longstanding mystery. The Phillips
catal
ChE 132C Probability and Statistics, Winter 2013 (Professor Peters)
1) Professor Muller at Berkeley prepares a strand of DNA with n binding sites for probe molecules.
Each site on the DNA is occupied by a probe with equal and independent probability p. Na
emu/0AM Jasérl'lad‘m Amcém
FM?- I9[><—><] = Z W
stx
For Amazch nmcfmwl vomaUe/s X, FM has Proywh‘ej
(1'3 0 E Pk) E 1
(1T) fol X < y ) {tum F04» S FCy) Exycchhw (mam) mad VMl‘d/nce
0')
G?) %e vo/w'd/Vtce 0% X
fab mean 0’; a raqum (511%ka vvt‘du‘e X I?
e.g. by counting
For most people (myself included), intuition says: (c) doesn't
matter. it seems reasonable, because the host's actions don't
change the fact that the doors were initially equivalent. But the
host has actually given us some additional info
Probability and Statistics, ChE132C
Midterm Exam, Winter 2016, Baron Peters
Thurs. 2/17, No electronics, Formula sheet provided
see numerical hint at top of rst page in formula sheet
distinct
1)
In how many
2)
Target can tell when a woman is pregnant by m
ChE 132C midterm, Feb. 7, 2011
No calculators, no notes, no books.
1)
The time T1 at which event1 occurs is an exponentially distributed random variable with
parameter 1. The time T2 at which event2 occurs is also exponentially distributed but
with parame
hw02 ChE 132C due Friday Jan.27, 2012
1)
Items are inspected for flaws by an inspector. He never finds a flaw when no flaw is
present. When a flaw is present, he detects the flaw 60% of the time. Suppose that 50% of items
have flaws. Let A be the event th
ChE132C Probability and Statistics
UCSB winter quarter 2016, homework 01
1. Create an excel sheet starting with two columns of data. In one column labeled coin
record a sequence of 100 coin tosses with a zero for tails and a one for heads. (you are
encour
ChE 132C midterm 2012, Feb. 13
1)
Craps is an abbreviation of the French word crapaud which means toad. It
refers to the crouched posture of people playing this game over the floor or sidewalk.
Craps refers to the event where two dice return a sum of 2, 3
Midterm Exam, ChE 132C, Feb. 4 2013
Assume that you have N balls and M urns. Both the urns and the balls are distinguishable.
1a) How many ways can you toss N numbered balls into M urns?
1b) How many ways can you put one ball in every urn?
1c) Assume all
ChE 132C fina l@
I)
2)
No calculators, no noles (except those auac hell ), no boo ks.
OII
4) S hon answer:
Pn + P, X, we derived confidence
The time TI at which ev ent I occurs is an exponentially distributed random variable with
parameter J,. I The t