Math 3C Midterm 2.pdf

# A 4 points construct a histogram for a if a is

• Test Prep
• DarkThunderKnight27
• 5

This preview shows pages 4–5. Sign up to view the full content.

(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:>("

This preview has intentionally blurred sections. Sign up to view the full version.

(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=
This is the end of the preview. Sign up to access the rest of the document.
• Summer '14
• N/A
• Math, Probability, Probability distribution, probability density function

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern