STAT
HW4-Solutions.pdf

HW4-Solutions.pdf - \os:t:tt 10 AAA 1.8"1 11 1"2 1/4...

Info icon This preview shows pages 1–3. Sign up to view the full content.

&,\os:t:tt 10/ : AAA 1.8 "1. 11 1"2. 1,/4 1'lb ],18l'y CHAPTER 7 Exercise 8 a. The probability distribution of X is shown below. .7 .1I .S f ~ .. .3 .2 .1 b. The probability that a child receives exactly 3 diagnostic services is 0.03!. c. The probability that a child receives at least 1 service is P(X ~ 1) = 1 - P(X = 0) 1 - 0.671 = 0.329. The probability that a child receives 4 or more services is P(X ~ 4) = P(X = 4) + P(X = 5+) = O.OlD + 0.006 = 0.016. d. The probability that a child receives exactly 3 services given that he or she receives at least 1 service is P(X = 3) P(X = 3 I X 2: 1) = P(X 2: 1) 0.031 = 0.329 = 0.094. -
Image of page 1

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

Exercise 11 a. The ten persons can be ordered in 1O! = 3,628,800 different ways. b. Four individuals can be selected in 1O! 4!6! = 210 different ways. c. The probability that exactly three of the ten individuals are left-handed is P(three left-handers) = (~) (0.098)3(0.902)10-3 = 0.055. d. The probability that at least six of the ten persons are left-handed is P(at least six) = P(six) + P(seven) + P(eight) + P(nine) + P(ten) = C~) (0.098)6 (0.902)4 + C~) (0.098f (0.902)3 + C~) (0.098)8 (0.902)2 + C~) (0.098)9 (0.902)1 + G~) (0.098)10 (0.902)0 0.0001.
Image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    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.

    Student Picture

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

  • Left Quote Icon

    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.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    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.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern