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# sampexam1asoln - STA 621 Midterm — Wednesday July 15 SHOW...

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Unformatted text preview: STA 621 Midterm — Wednesday, July 15 SHOW ALL WORK Name: 74 ‘ g 1. The following data are the number of home runs for 14 players from the Chicago Cubs in the 1992 baseball season. V/Iylu/b’ n//A/“" 6 6,26,22,3,8,8,1,9,8,0,1, , ,5 01113;, 4.338353212326 I J) ) 9+26+--~+1+5=107 (9)2 + (26)2 + - - - + (1)2 + (5)2 = 1587 3 a. Sketch a boxplot for these data. l \$2 \$4 fé , fl? r J, . P ,/% mm so, M :— ZC 7.57,. , ._ 75(17): 35‘ rem; 9/, U (Q) 4MLH\$ Milan. 506%”; =- 04"? 9‘: 4’5 ‘ég/YA V410“ : 6:1 2—7_ 5hccé: 2({Y\z7 7, mo lfgg/Ic 3 '5 7"? ._ L I“ (“Ar/6.?- Founluyp-A/I g : q ﬁlcc/I'é Amen,“ em 01 “f 82 lo 12."! u "tout-1M. 4 b. Compute the mode number of home runs by a Cub in‘ 1992. 2 Moles (9mm l W1 <3 4b. Based on the 3 standard deviations rule, are there any outliers in this data set? If so, which observations are outliers? a * 2 f - 32 ‘ '~ .. -'~ 7 e M [q I M“;— /\-\1 I : ”9347(7‘“: €217 => Srlcvn =14? ('3 . OJ'llre'r‘ 7‘5 2‘5“," “’ ﬁnd" m“ 3 °"' 4 ’3 Click/c eﬁl’mmes‘z O “'3 2':- 0'77'2‘1 :: ”.99 ”'fMDw/Ilw' . .é 26"” 2: 25"???" :: 2.37 mayzmwv‘ﬂw I 4.6 » :3) A90 :0)“qu IA cJaJ'b- 82\$}, A. For each of the following variables list all of the adjectives that apply from the following list: Qualitative, QuantitatiVe, Discrete, Continuous. ‘3 a. Religious afﬁlliation. Qua). 44+~v£~ -—3,b. Number-of pets owned. wedded: W. J DISC/17%., ‘5 0' Percentage 0f body fat. QJM’lol‘a‘l-VVCJ div/17940095. "3rd. Eye color. QualﬂLqJ‘l'V-C ’9 e. Shoe size. owe-7am J Discrete. l 3. Two statistics students will be chosen from UGA and 2 will be chosen from Georgia Tech to be the southeastern student delegates at the national statistics convention. There are 200 statistics students at UGA, 88 of whom are women, and there are ‘300 statistics students at Georgia Tech, 120 of whom are women. 3 a. In how many ways can 2 women delegates be chosen from UGA? from Georgia Tech? 8’2 ( 89' g 3 ' . 38 ‘ :1 2 332 M 062”“ (of) a gg! 2! 2 S? ”a?" GATaJv‘ (:0): ""2" = 71% we]: ‘6 b. Is it more likely that both of the UGA delegates will be women or that both of the Georgia Tech delegates will be women? Q L95," 9‘ ‘= Ema-C! Mail" ’3 Jekaale Ga“ UGA ‘5 «new 63-: “ v 2*} gawk Emma - e 'T" : n 1‘ («14‘ u “ ‘TZ‘L‘ u H \ , H 1:: /\ .n “.3 H " ﬁuL “ ,q 4. 3) g g a. Find the probability distribution of the random variable X. A company manufactures boxes containing 2 light bulbs, 1 red and 1 green, for the Christmas season. There is a 10% chance that the red light bulb will be defective, and a 20% chance that the green light bulb will be defective. Assume that Whether or not the red light is defective is independent of whether or not the green light is defective. Let X = the number of defective light bulbs in a randomly selected box, X CM ﬂaky. Valves OJl or Z Q: and Fed. Je’QQc'ﬁVe, G: n 6% H ‘ “Pa—:03 = mm cf): ?(R‘l?(e‘\ 1?..th Wig/ah“ ream». ”We (1 6—3 : mypm .... may: .02; 17(x=1\= g 1.. P(x=o\~3>(x='23= VFW-"01 ' p m 5%st D; x...__———————~ 9% S'Ilﬁiwina‘. g 25.. o .72. I :2 6, 2 .02 H N 6\ 6' b. Find the probability that at least one of the light bulbs in a randomly?! > selected box is defective. 7769’”: ’P(X=I\+?(><='2\: 364.02 x 1:60 X‘Hﬂ Le. Find E(X) and var(X). O O '2‘) .26 .0”! ,0? gm: .3 'gsi ‘ var-(x3: Tx2£(x3~f50<37‘= .39 4.23" = .2? ' (a 5. If a test designed to detect when a woman has cancer of type C is applied to a woman who 15% cancer type C, 95% of the time it will give a positive result, and 5% of the time it will miss the cancer and give a negative result (false negative). If the test is applied to a woman who does no_t have the cancer, 3% of the time it will give a positive result (false positive), and 97% of the time it will give a negative result. One out of every 100,000 women in the population has cancer type C. If a woman is selected at random from the p0pulation, % a. What is the probability that the woman tests positive for cancer C? (“fl At a an“, 3145/ 498mg! AM’ Cum; C, p ' Az: We»?! (and! wow (432511»; Lave. Camcu’C, B"- cwm‘} 114/ WA 7447,!— [pas/7;”, 61““ 7001 75:2? , 7/3lA.\=-75‘, ?(EIA,\:.,03- 120m: mum ....> 72??? Memo 17(23): ?(e.nA.\+ rams-=- sews»weaves 8b. If the randomly selected woman tests positive, What is the probability she ’ actually has cancer. _ \ rm )8): Wei/43%.) '95" (Wat ?(3)A5P(A)+P(B\A5Pm,\ cosooo‘h Ma f‘ﬂ‘ﬂa} 6. Suppose that each morning whenmy pap-er delivery boy throws the newspaper V toward my driveway; there is a 20% probability that the paper ends up in my V, thornbush. Suppose that whether or not the paper ends ,up in the thornbush is independent from one. day to the next. 3‘5}. Find the probability that in a one—week period (7 days), I have to retrieve my paper from the thornbush exactly 3 times. '- ' ﬁlﬂbwmal 09’; A 5 ?' ?‘: . 2. X3 # 0C SUé-ms-ves {We}: ’4 M009 gust) b. What is the mean for the number of times that the paper is thrown into my thornbush during a one-week period? What is the variance for the number of times the paper lands in the thornbush during a one-week period? 9500: mp = 3L (-1): M V6360: AMP/.3; 762MY§= 1.22 ...
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