Math 3C (2).pdf

# Give answer wi a fraction or in decimal form show and

• DarkThunderKnight27
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(Give answer WI a fraction or in decimal form.) (Show and explain your work.) 2 P(X=IJY=- ~ h?(X=OJY=z.) -7 Z (?f-/,-" !;7,,(>1) ,O/{+ .32. = .3£, '------- ----' 'll ; .... i -f () + - 11) po points) When Helen tosses a dart at a target, the distance (in inche~) 12) (10 points) A continuous random variable Y has probability density fW1C- from the center of the target that she hits is well described as Ii continuous tion given below. r8.lldom variable X with probability density funct.ion given bel~', where C 0 if s<-l or 8>1, is an appropriate number. Jy(,) = 1 +, if -1:5. < o. { 0 if B < 0 or H> 10, . 1-8 if 0~8~1. . 1.«') ~ { C, if 0 S' S 10, Compute Var(Y). (Provide a. numerical answer in decimal form,) (Show and a) Find the vtlolue of C. explain your work.) b) IT she tosses the dart at the target 5 times, what is the probability that at least once the dart hits the target les!! t.han 2 inches from the renter? Assume Ylldependencc of the 5 tosses t {yLl>-) (Provide numeriClll an~y,'e1"8 in decimal form.) (Show 8.lld explain your work.) ii~ " .-_._-_._-_ .. -_.- ) i 4- 10 ..Lv) +,,0 o ( .. ' .-e., 0,) ) {./t).:: 1 -J i. -,:c) C - 3c r ,.'- 0 (Ai tl'>- ( ;/ lit}, ') ch.- t .100 .; ~y -',p ~ 0.02.. -of' -I ~,;y--~ u ...... L._ ') o r !> ~ b\ ( (;".'. AS) JJ ... t l - + = .J~ 3 -I r I If' [C I' '\ :V .f:. 3 1. l O - (-i· 'f J t' 3-;)-0 J /2 b ~ . ~ j ~Ol(' T!M<f~ v""-' (y) = r ~1'I(4-),4 - (J<Y) = i-O / ,_ ,. ~ r -06 b <>

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¢(I) + ¢tcU .. .,J-/= .P'f13 - .SfN-:1 P(X'/22S) = 0;;;;;7 !~i!~ .. ~~~ __ J~)- _C:.? 2 I \$"1 -Co~()( >2/5) ---- I f(Y:>J.lsj p( "-:;. 2.5) ...... _.,--- f(~>,:5) .!.:_1!~,)) J'062 - j=-~fm ---- = o. () '128 / - P(!5) / - .7332 .Ob{>!? B • Table 01 the Standard Norm,~l Distribution 919 15) (10 points) 1b~ a. fair coin 100 times. Use the c..'entral limit theorem TABLE OF THE STANDARD NORMAL DISTRIBUTION to find an approximation for the probability that the nwnber of heads is at most 55. (Provide (1 numericaJ IUlsW €r in decimal form.) (Show and explain Are" under the Standard Normal Curve from -00 10 ~ (sc~ Figure B.l) , your work.) .., #- 1- .t~clk r')1 e loo L-1t ~ i3Y""~ ;;..= bXi ~ !i t-v;,\:;;t,~v ... F;gu~ .. D.I !.- fL ,,~ \b.--l, ~ t>t~-f U J J J ill 7 0.2 ."93 J832 Jan J910 .5948 J987 HJU 6Q6.I .6103 .6141 ru .6179 .6211 .W5 .IU9} .6311 .6Jbll .64lXt 644~ .6480 .6S1l 0.4 ..6554 ..6591 .6628 .6664 .~100 .~736 6rn !>80~ .61144 .68~ OJ .691' .6950 .til)&) .71)19 .'7'l:04 .'7088 .1123 .,15' JI90 .n24 0.6 .7U8 .n91 .1314 .13H 'I'J.'l'j 7422 .7454
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