Probability and Statistics for Engineering and the Sciences (with CD-ROM and InfoTrac )

Info icon This preview shows pages 1–5. Sign up to view the full content.

Midterm Examination, Statistics 220, Fall 2005 19 October 2005 Name: You have 50 minutes. You can use your own cheat-sheet and your own calculator. Please don’t share anything. Show your work. Ask us if you need extra scratch-paper. Exercise 1 /10 Exercise 2 /5 Exercise 3 /5 Exercise 4 /10 Problem 5 /20 Problem 6 /20 Problem 7 /30 Total /100 1
Image of page 1

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

1 Binomial vs. Poisson X is a binomial random variable, n = 10, p = 0 . 1. Y is a Poisson random variable, λ = 1. (a) What is E [ X ]? (1 pt) What is Var ( X )? (1 pt) What is the probability that X = 2? (3 pts) (b) What is E [ Y ]? (1 pt) What is Var ( Y )? (1 pt) What is the probability that Y = 2? (5 pts) 2
Image of page 2
2 Camels Bactrian camels ( Camelus bactrianus ) are used as beasts of burden in Central Asia. A survey of the camels available in a certain town in Afghanistan shows that their mean weight is 1600 pounds, with a standard deviation of 150 pounds. (a) What are the mean and standard deviation of the camels’ weights in kilograms? (2 pts) Hint : 1 kg = 2.2 lb. (b) The camels are now loaded with water casks weighing exactly 120 kilograms each. What is the mean and standard deviation of their total weight? (3 pts) 3
Image of page 3

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

3 Coins (a) What are the probabilities of getting the following sequences of heads and tails from 10 consecutive tosses of a fair coin? (2 pts)
Image of page 4
Image of page 5
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