Stat Notes Week 6
Stat Notes Week 6 MATH 2600
Popular in Introduction To Statistics
Popular in Math
This 2 page Class Notes was uploaded by Emmy Thornsberry on Wednesday September 21, 2016. The Class Notes belongs to MATH 2600 at Georgia College & State University taught by James Baugh in Fall 2016. Since its upload, it has received 18 views. For similar materials see Introduction To Statistics in Math at Georgia College & State University.
Reviews for Stat Notes Week 6
Report this Material
What is Karma?
Karma is the currency of StudySoup.
You can buy or earn more Karma at anytime and redeem it for class notes, study guides, flashcards, and more!
Date Created: 09/21/16
Stat notes 9/21 nPr= n place r Use when the order of something is important and relevant. nCr= n choose r Use when the order of something is irrelevant, but the overall result is relevant. 1.) A bag contains 10 colored balls, 5 red and 5 green. If you draw 3 without replacement, what is the probability that all three are green? Order does not matter here so we’ll be using nCr 10C3 ways to draw 3 general balls out of the 10 5C3 to draw 3 green balls from the bag Poob(3 green balls)= 5C3/10C3= (5x4x3/3x2x1)/(10x9x8/3x2x1)= 1/12 C means n(n1)(n2)... (nr) 2.) You have 10 cards numbered 110. After shuffling, you place 3 in a row. What is the probability of getting 3 in increasing sequence. Order matters here so we’ll be using nPr 10P3 ways to place 3 out of 10 in sequence 8 ways to draw 3 of 10 in increasing sequence (1,2,3)(2,3,4)(3,4,5)(4,5,6)(5,6,7)(6,7,8)(7,8,9)(8,9,10) (8/720)(4/360)= 1/90 Discrete vs continuous random variables Look at sample space Discrete or continuous? If discrete, then random variable is discrete; if continuous, then random variable is continuous. Sample space is a set of numbers A continuous set (sample size) is composed of intervals A discrete set (sample size) is composed of numbers separated by intervals (places and spaces). For X, a discrete random variable, the function f(x)=P(X=x) Read; the function f of x is the probability that X is equal to x. x is an algebraic variable. X is random variable. Known as the probability distribution function (PDF). x 2 3 4 5 6 7 8 9 10 11 12 P(X=x) 1/36 2/36 3/36 4/36 5/36 6/36 7/36 8/36 9/36 10/36 11/36 PDF of x=sum of 2 for dice. Cumulative distribution function or CDF is g(x)=P(X< x). P(X< 0)=33/36 (found using the table above)
Are you sure you want to buy this material for
You're already Subscribed!
Looks like you've already subscribed to StudySoup, you won't need to purchase another subscription to get this material. To access this material simply click 'View Full Document'