STAT116MIDTERMDocument

# STAT116MIDTERMDocument - STAT 116 STANFORD UNIVERSITY...

This preview shows pages 1–7. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

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.

Unformatted text preview: STAT 116 STANFORD UNIVERSITY Department of Statistics MIDTERM EXAMINATION STATISTICS 116 Instructor: Professor Anthony D’Aristotile July 23, 2007 9:00 am - 10:00 am IMPORTANT: Please, show all your work and justify your assertions. However, you may leave your answers in indicated form. There are 100 total points. STUDENT ' Name: STUDENT ID : 1. (20 points) A drawer contains 10 black, 8 brown, and 6 blue socks. If we pick two socks at random, what is the probability they match? 2. (20) If 6 balls are thrown at random into 10 boxes, what is the probability no box will contain more than 1 ball? 3. (7 + 13) Supppose X is exponentially distributed with parameter A = 3. (3) Find P[X 211) (b) Find the probability density function of Z = X2 4. (20) On a ﬂight from Urbana, Illinois to Paris my luggage did not arrive with me. It had been transferred three times and the probabilities that the transfer was not done in time were estimated to be in the order of transfer. What is the probability that the ﬁrst airline goofed? U1 5. (10 + 10) Each of n boys and 11 girls, independently and randomly chooses a member of the other sex. If a boy and girl choose each other, they become a couple. Number the girls, and let G:- be the event that girl number i is part of a couple. (a) What is P[Gi)? (b) Ift',j are distinct positive integers between 1 and it, what is 33031-ij .335 u... qunmmqm vambmFﬂbﬁqamsaz ||||1|.|I|‘||I|.I|I||I|III|[|IIII|IIIIIII| . . 39.32.: Md __.. HUSEE=Q Sam I _....;-._...-..n..u my . magma—Hm P532... 13. 3:30.... 33 In»: <53? mica—:15? ﬂaw u. I a}. a a. + I I tannin—n3 :. F M h A 3 Cum _ .3 Pa an: .3 oMnm_ “No.72...” _ 135a... i5 van—2 m I . H .. r > v o 1 26;: E > > m u u o. _. M. 1. OnoEaEn SE Ugo—2 h: .1 v7. |IF _ w In; I “ mﬂhm_ h _ICIhV- .u n u n _. m. I. . . . . . .3 I _ .1 I — .. anucco Susan. .59 A I V...“ 3 I E: a LII. H # naggﬁsﬁ a _ _ I 2 In: n _ oMnM_ au~.a+_.. “ . 3050:— a FGEUEQ 33m mﬂﬁansm. h.E..n:n_=C._.CQ E:n:0.:...>§3 325 <a1u5nn _ «a I as a + v 3 1 in A A Ti." .|I1.I C3333 9.2 an. E .2: u w I a a n v A? I 3 w E A a 0:335? WW, > _ w ... If H maﬁa-53mm. «3.9 2H” H. 5: h N o >|IJ M Ha. I“ 332523 > V a . o H A a {K iIEEE . > . h u .1 035:3 2:: Banana—n3 553 H :3 A» I .V > > rd; 2.3.»Vo 0 ans 0T“. 2 _ .9 _ _ I m + qr» r am 23m 3 nugﬂna .5; .n mItIEé I E A u A 8 86 E | FF 9.3 (Ma Q N ...
View Full Document

## This note was uploaded on 11/15/2008 for the course STATS 116 taught by Professor Staff during the Summer '07 term at Stanford.

### Page1 / 7

STAT116MIDTERMDocument - STAT 116 STANFORD UNIVERSITY...

This preview shows document pages 1 - 7. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online