A 4 points construct a histogram for a if a is

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(a) (4 points) Construct a histogram for A if A is discretized in ten year increments (Le. age 0 to 10, then 10 to 20, etc). Make sure to label your axes. Draw a curve which is your best estimate for the (unsealed) probability density function for A, given the resolution of this histogram. . +(X) 1,; \i-\-"y "Ge,I: (°1101 ~ 7 7f~~,/P~~~-:;'., ( 10 7.0' =- .s Sleo , J~ _ho (~fJ =-oJ ~ " ;/'D+ ( I~ ~ C 30) 4 OJ -::: 1; "VI'fJ. I . . L l '-\ 0, SO] =- Q. 1JiQ':O ttL I I ><! .J..\ \. ". 10 10 30 '1~ JO ~~"'- J =- 0 '0. l SO, b ?b) (4 points) Construct a histogram for A if A is discretized in five :-\ year increments (Le. age 0 to 5, then 5 to 10, etc). Make sure to ( b 0 ..., 0 .J:: label your axes. Draw a curve which is your best estimate for the f 2(unscaled) probability density function for A, given the resolution of this histogram. ty owt.. of 0\ d' ~ ,(\~0 S ,i 0 (0,<] +\ PD<-l l \,) I ." I ~ ,1.0 '"1.,15. 7 .~ ,,"0 2S ,4;£ (c) (4 points) Construct a histogram for H if H is discretized in units of feet (Le. 0 to 1 foot, then 1 to 2 feet, etc). Make sure to label your axes. Draw a curve which is your best estimate for the (unscaled) probability density function for A, given the resolution of this histogram. ><.\ (p-D:-o CI-2]Z I C-- 3 J:2 3 (3 -~ J =-? - o i '2- --r3 (y_(] :71~ (d) (4 points) Construct a histogram for H if H is discretized into &-inch increments (i.e. heigh 0 to 6 inches, then 6 inches to 1 foot, etc). Make sure to label your axes. Draw a curve which is your best estimate for !.he (unscaled) probability density function for H, given !.he resolution of this histogram. tl P(x.~ (\J(,~\Ni \)' V'l 'f .. <t"/11'U ('1 W: ! ; " - ~l[> 8 c:>("
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(e) (4 points) Are A and H discrete or continuous random variables? Brielly explain why we are interested in refining the increments used in the histograms, and how we can use the idea of histograms to find the true probability' density li;octioDS for A and H. + Q'let H t-tl-l: ("o'l~ V:' ~ V ~n~t{ lj) \) re --h. I RVf!.l ",'19 d l.~ -J/-L4 t) ~+l' 0 floi" t\.l hi u\a+ 'He I) ~'\ tJ f' fb (',). 't C 5 -¥u 11 L+1 Oil +3 F~ p (0 b. tlrl4. fJ ~ ~n C 5 q ~ d {:or ~ -f-t.,,,,1A-t'lDfl rJ~ h·f 1(1.. I K 9 \ J c~t=
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  • Summer '14
  • N/A
  • Math, Probability, Probability distribution, probability density function

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