# Positive value of t means that out friend arrives

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positive value of T means that )'OUT friend arrives la.te.} Given tha.t (Provide a numerical anawer in dedmal form.) (ShO'Ao' and explain your work.) )'Our friend hEl8 not. arrived yet. at. 4:05, what is the conditional probability that he will not yet have a.rrived at. 4: 1 01 (Provide a numerical answer in decimal form) (Show and expll\in your work.) LJ-(-I) 2.. !_(T~~ __ T7:1. pC T>S) pee:> Z) i- (~~c) -'l ~?-(2--;j\ j - ~l j j ! ) :::. b~15 .... 8 ~ 13 - 1 (T.iR ... ) 1.-.9112 1.-.8,'1/3 .0228 = --.758'- - ._,-~. 8 • Table of the Standard Normal Distribution 919 15) (10 points) ToIlS a fair coin 100 times. Use the central limit. theorem TABLE OF THE STANDARD NORMAL DISTRIBUTION to find an approximAtion for th~ probability t.hat the number of heads is at AreilS under the Slandard Normal C1.Irve rrom -co 10 c (see Figure 8.1). least 60. (Provide a numerical answer in decimal form.) (Show i\J1d f'.xplain , .. , )'Our work.) 1J' ,,/ L--...k s ..... .= )( 1 c .;X~ r to jl to:! L .. J- Ii' ~ i. 0 ;-)1...+"" " :b..l", <lII Figure 8.1 , . . 'j1"- CU: X -. 5 .. , / _J . 1 J J 'v -- .5319 .53.S9 'J69 .5~~7 .561~ .5714 NLt) C:X ') ... ..... ,... .H2n ,'" Of-. '.J ,.,. .,,'" -"" "" ,." ,,, . " .. ... " .2 .sm .1910 , ... "" .- .." .... ,IOJ .e141 ."" -"71 .... .... , .... .,,, OJ .8179 .6251 . .", .~)1 .6l6B /./,f. 0,5 G-=: '''' ,,, . .• 1J6 .• m ... ..... )';~ =-; ~ •.. .". .. ". ..... IE!' / x... I::". ].1) 20 "'" .7Q19 .7123 .7157 .71W .7224 .,," .,'" " "" '''' .7J,M .7422 .74S4 .7.tll~ .7JIB .7S49 .ms .7191 .7)24 :7"7 .,,.. .77)4 .7813- .78S2 OJ .7S80 .7ell .7673 .,'" n" "" .. .7881 .7910 79)9 . .,.., .,," .." JIlll' OIl" >\'" .8159 .8211 .82J8 .8264 .. , "' . ... " . .,., "., .,.. ,0(7.. ;; :,~ ) = p(z.~ C·t ) ...,. . ..., . ..,. -"', .. ". .,,, "'1 I.' .,'" .~77 '.0 ... " ... " .... , "'" .... m • .8749 JmO 8750 .IlIl1O .... .... , .- ..... . ..., . .." .... ..... .... , .51015 '2 o (. - 0,<; \ ... , .... .... "'" 9147 .91n .9115 .9131 9181 .9032 :; P l /?- - > '/ .'nt11 .om .- ,,'" " .",., .9319 UVi·"'"d CLT ~ o.v:.; ) ."" "" "" "" .,." .om] .93.57 .",0 . "., . " .. .... "18 ... " ~O,s ...... , ')' " ."" .,," .~15 ( ? " __ r.) ~~o,11 ! .. ... " ... " . 9474 ..... ... " .. '" "" ."" "" \., _9:573 .. ,., .9591 .,.. .\ltil~ .,'" .96J, O.L'5 1. - . 7 1 ;:..Z. .. ". ."" .... , .... , - ..... •9678 ..... .- .,"" Ii . "" "" .9761 .. , .9713 .n'" .973.8 .9744 .,," .9719 .,m .", . •9783 .n .. .9793 .ms .,." "" .9811 .9817 2.' . m2 U .9811 .9126 .,.,. . ,.., ..... .- .,,, ."" .98S7 U "'" ."" .,.., ... , ..... .9871 .967S .987' .9881 .'188' .'188' 23 .,." .9916 ... , .- ..... ... . - ., ... .... ' "" .99LI .- .,," .Wll .m' .- .99ll .'m .",. 99J6 23 . .". . ..., .... , ."., ..... ..... .... , ."" "12 . ,'" .9956 .~S7 .... .996' .996J .".. ". ."" ."" . "" ."" .- .,.,0 .,," .m, .9974 ..... m' 2' .- .- "', ."" "" .... , 2.8 ,.,. .m, ,." .,." .,." "" .996l .998' .998' .,," .... "" .- .- .,,"
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