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FINAL PROBABILITY AND STATISTICS, ECON 15A
DECEMBER 14, 2007 1. In a certain town, 20% of the people belong to Club A. The probability of belonging to Club B given that you don’t belong to Club
A is 30%. The probability of not belonging to Club B given that you belong to Club A is 90%. What is the probability of belonging to club A given that you belong to club B? You must show work. A) B A
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'1 ) Ci 12%,!)4 Rims) .oz'r.zq .Zé '07601 2. There are three red balls, a lue ball, two llow bdls and four green balls. What is the probability of drawing ﬁve balls (with
replacement) and getting exactly 3 red balls? You must show work. Z N: 5 5! 63>3(7>L .. 5¥ﬂ¥gy%i )1 2.7 X 31 3 5230 =.3 312' "25124 lily!” @ la) (00,000 I :3 = .1323 3. What would be the height of this graph if the yaxis were a density scale? (I’m asking what the value would be at the top of the
graph) M 005 a” 5% ”2’ “L 
WWUM'L 400 500 000 700 800 EU.“ ‘ '1’5 AM 4. Draw a boxandwhisker graph for the following data: 20, 21,®23, 24, [email protected], 60. Be sure and put values on the x—axis
(please draw the plot horizontally), and make sure it is neat and clear (and pl use the entire width of the page). mast; zanS‘lg '5'1H‘6‘SZ ~cz:::_t————————~—\ 4* u 20 '30 (+0 3) 02: .312” 60
S. The binomial distribution is determined by two parameters. What are they? The Poisson distribution is determined by one
parameter, what is it? (a A» N> were“) 68. A study was done testing to see what the eﬂ'ect of the height of a room had on the desired personal spaces of subject. They tested 48
subjects in a highceiling, lowceiling, and averageceiling room. Subjects stood with their backs to the wall while a stranger approached.
Subjects were told to say stop when the approaching stranger’s nearness made them feel uncomfortable. The distance at which the subject
said stop was recorded The color of the room (red, white, blue) was also recorded, as was the sex of the stranger. On average the people
in the low ceiling room said stop when the stranger was 5.68 feet away. Identify each variable. Next to it (in parentheses) identify the categories of that variable. lfthere are more than six categories, simply list
a few of theta and then write “and so on”. Then next to that state the scale of measurement of the variable. It should look something like: 1. ﬁrst variable name (category, category, ....) scale of measurement 2. second variable name (category, category, ....) scale of measurement
3. etc. I) HEWLM’ 072001 (HlC{HIzstéy LoLJB OWlh—‘bL’ 9K 2) DISTAMCé owned 372mg: (’1Fwtzrezrjm“> IZLSHO
33 60w»Z 0F 1260/1 (zap, wrung, m> WHHJAL.’
‘0 694 a" 5% (MALE) W NOMINAL. ...
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 Fall '10
 RajendraM.Patel

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