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Unformatted text preview: SAM15115 (fer Emil Moreen/55% AME 310. Seo03 Examttl Version: B Last Name: First Name: #113: *** 1It’ou will get 4 points if'you elenrly.r print your name and ID.
*1” Write your answers in front of the question numbers.
*** 4 points for web question. No partial points. t. Given the [allowing stemleaf plot {the leaf unit is l], what‘s the sample mean?
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4m: s233439 451235 [A] 315; {3153: {C} SIS: ED} 43: {E139 A 2. Using the some data. in Question 1. what‘s the interqunrtile range? {A} I9;te}ss; (one; (one; {E148 QIZW r Q3: 53, 1?: GS—Qi = 3. Using the some data in Question 1. the sample data is A " {A} Left—skewed: [B] Right FileEIEIEIl.jpg
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4. The following table shows a collection o am a e grants of the National Institutes of Health {NIH}. What‘s the EllIIII percentile of this sample? Grant Mﬂﬂcjr {'11: dollars} The number of available grants
ll] 5!]
25 3]
. 5D 15
100 5
Total 1.5m 1041} {A} 250; tons; to} ID; touts; {5330.5 Ionian 25150 1 l Page 1 ol‘5 View plev’yﬁ/e'. W‘ 1')
6. A sample consists of I0 observations: x..x3....,_vm. Given Err = 20 and Zea = 360 .
1 nil‘ze‘) — (grief : {0.5}
7.36.56 C what's the sample standard deviation?
S: {A} 6.32;{B] 40, (215.95; (Di 13.9113} 119 wt in i) '1'. What‘s the sample s are if you toss three coins?
P S —_ E :2. {A} {1}, T}; (B) {HHH. T'l'T}; [Ci {0. l. 2. 3i:
(D) {HHH, HHT. HTH. HTT. THH. THT, TTH, TTT};
{E} ail of the above. mums or34133?) 1* ti 1‘ t" 1‘ f D 8. How many different 6digit numbers exist, with their last tivo digits add up to It]? (tug.
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(ftioiqovieeciti r 3.! X i“ [m 105, (Bisxm‘; [CWHU‘JDNJMD‘g (Ejesxiie —'
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_ III]. A and B are two events in a sample space, which one of the following statements is ‘ TRUE? _
{A} if A and B are exclusive, A and B must be independent;
(B) If A and B are exclusive and exhaustive, A and B must be independent; {(3) No matter A and B we independent or not, PM ['i B) = PIA) + PIES) — P{ U B) ;
(D) If P[A)=P(B)=o.5. A and B ate exclusive; N‘ﬁw _ (i; aim 001%“: [E]: If P(A}=P(B}=D.5. A and B are independent.
Revue): @[A‘5+P(5‘i?(ﬁ fie]
Page 2 of 5 115 at Prime“ Fume: 2 3 5 s II is Is Jq E,me its“. Cl'tuﬁea B, vhu Dold‘: l ® 2 . .
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A E 1 . An integer N is randomly selected from ] tn 1). What is the prebahitity that N is a i? U" ,i t. ' N‘ an udd number?
p menum ergwen is P(Fﬁhalmlel) 1 % {A}?flOL{B]1ISL{C}I‘H1U;ED}IQULIEEllflﬂ I: C
p 12. Given aw us1=usmwum= cs. what is Pm}? W‘CUBEPW lam“ Pl“ n 13) v” OCH Ets‘us’i}:{9mm19wc}_ ts‘m L)
{A}0.3; {B} (3.3". {C} ﬁﬁ: [Di {Li [E] 0.4 — b. 6+E3 :EPmE ) +1 d s? Pat): o. s =‘2 Pm: 1~ PE a) r g,
C 13. “you randomly select 5 cards from a deck [51 cards in tutaI]. what‘s the chance ynu
have exactly 3 aces? {ill—:2]; {3} {say m [552] 2 j‘ [552] 14. Suppose that an insurance com pany classiﬁes people iutu one of three classes: gent]. [x risks. average risks, and bad risks. Their records indicate that the probabilities that good,
average, and had rislt persons will be ins lll‘t'td in an accident ever a I‘year span are.
respectively, (LBS, 0.15, and .31). If It] percent ut‘ the population are good risks. 5“ percent
are average risks and 3) percent are bad risks, what mpnrtiun at people have accidents in p
a given scar? 13(Mﬁglﬂt): ‘Z iiiact! risk [j «Pﬁ'ﬁ'skcj : .1'3'35 + .5»,l5 + 3'. 5
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(mews; (330.5; {£']2_25xlu"; {D}U.l67: (£30.33 1 “’l + “ﬁg + ‘r’q
= .“z’5 C [5. Using the same data in Question 14. If pulleyhnlder James had no accidents in 1007.
what is the probability that be is a guard risk? risk} {AJUJ‘I‘E (1310.2; teases; (mum; {mazes E Pause.“ n a“; as) Human S‘wdﬁ {All PﬁcLe‘dmj FED; ]
E 16. Haw man}.r dit‘ferent ways can you distribute I'll candies tn 3 kids [the candies are the
same. each kid should have at least one candy}? U_ 9.05) .C.‘ ’2
0) cm: at E : ————+s*
{A} man; in] 99?; {C} 12mm 11?: (E) 3:3 [— 0. l i5 (:23 [Sinaiicy Solufiﬁs is; ﬂaws Eh I “all :sx'f’lum it Pageants : Q1: There: 1?. Which one ol' the following functions is a probability distribution? E {A} fix) = for .r =1.o.1.2.3: [Bi ,i'ir)=%,jarx=—Lo.i.2.3 909?.
(C)1'(x)=%._mr r=l.ﬂ.1,2.3
x {D} flix =i?.ﬁirx=rlt0.l.2.3 (E) ,f'ir}=%.fur “4.0.1.2.: ii") = xgzﬁ”!= 2+L0,l C 18. A probability distribution function is given as Which one of the cumulative distribution function {cdf} vaiues is NOT correct? [A] F{2)=0'. {B} F[l}=f6; {C} FIE'UFZM; (D) F{l‘,l=l: {El Fi+mi=l D 19. Given the probability distribution l'unction fia}==]o'x, for x=1,2,3,4. What is k? . e i: .. ,
(A)2.UB3;{B} “31:02)0.1;(D)U.48;(E]ﬂ.033 E19“): 1 =7 $543+ 19' i % Kai“3'  : :1 variable '
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Dimension: 2400 x 2832 pixels 21. A discrete random variable X has expected value Eat) and variance Var(X}. Deﬁne
_ ‘i’=2)(d what’s the expected value and variance for this new random variable Y? {A} EIYFE‘CX]. Var'i‘t'Fi"ﬂlixi‘, (B) EiYi=2*E[X}. VarfYFZ‘VaﬂX];
{C} EWFE‘EIIX). VafiYTFVal'ix); (D) Ef‘f')=2"E{X}, VﬁfiYF4*VﬂI(X);
{E} E(Y]=2*E{X}, VariY)=3'Var(X). Page 4 of5 22. Suppose that the number of accidents occurring on a highway each day is Poisaon
random variable with parameter Pg. Find the prﬂgabilit‘f that 3 accidents occur today
Note: emlfilﬂ . _. ._. *9: ‘3
‘ } PW‘53—He : 3i {23%) : e an;
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(A; 0.224: {B} H.025: (C) [lit] 1; {D} 0.222: {E} 01333 FileIZIDIZII .jpg C 23 ;£:?=?JDP65EBIF“393 el consisting 01‘ 33 numbers: I through 36, i} and double ll. Sam .lte Dimension: 2340 x 2344 pixels come is one of the numbers 1 through 12. Which distribution is
the best for modeling this process? {A} Binomial distribution; (B) Poisson process; {C} Geometric distribution; {D} Hypergeometric distribution;
(E) Moitinomial distribution. ‘9‘ $§$ 24. On a multiplechoice exam with 5 possible answers for each of the ‘10 questions. what is
‘Q0 the probability that a student would get 9 or more correct ansWers just by guessing? (so 1.353wlﬂ'5; {Hi Iozixioﬂtcioei;(035.12x1o";{tsi Leisxio‘5
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This note was uploaded on 10/20/2011 for the course AMS 310 taught by Professor Mendell during the Spring '08 term at SUNY Stony Brook.
 Spring '08
 Mendell

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