internship20120620195851725

internship20120620195851725 - 5A” I'1‘“ SA—...

• Notes
• 1

This preview shows page 1 out of 1 page.

Unformatted text preview: 5A” I '1‘“ .. SA— —5 {gulls-w o’:' Name 50 ’UULW'IS V l ‘“ an '- E01311 370 ”wasn't-l @1&quot; Quiz 6 Friday, February 17, 2012. John throws darts at a circular target centered at point (0,0) of radius 2 meters and is equally likely to hit any point in the target. This forms a joint uniform PDF within the circle. 1. (2 pts) What is the probability that a dart falls in the square described by points (0,0), (0,) 1) (1 (,,1) (10)? fSICJ‘J)’ = c = “1?; Let X be the distance of John‘s hit from the center. 2. (2 pts) Find the CDF for X. . 2 WWW“ “wit PCX— X): C ‘ Rom ext-circle v44&quot;. reams x = CWXZ = ﬂ 4‘1 13‘ F (it): 0.1 '\‘(&quot;&lt;0 :1. 511;) '1 3— %) .1 05152 1):&quot;! 2‘): 2 )x 3. (2 pts) Find the PDF for X. {2(x)=d L20: 0’ ii x&lt;0 dz 2.x) .F0_x\$2 0J NCQ&lt;x 4. (Epts) Find the mean of X. [[37 E: zf‘)4*'§ixzdx= ,szjozzg: We 5. (2 pts) Suppose that John’s scores for multiple dart throws are normally distributed with a mean of 10 and with standard deviation 2. What is the probability that he will score greater than 9 but less than than 13? You can leave your answer in terms of the standard normal CDF, @(y). @0310 ~35 (i?) wear) 25,900.!) ...
View Full Document

• Winter '12
• Mazzeo

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