Concepts of Statistics
Concepts of Statistics STAT 135
Popular in Course
Popular in Statistics
This 3 page Class Notes was uploaded by Floy Kub on Thursday October 22, 2015. The Class Notes belongs to STAT 135 at University of California - Berkeley taught by Staff in Fall. Since its upload, it has received 22 views. For similar materials see /class/226732/stat-135-university-of-california-berkeley in Statistics at University of California - Berkeley.
Reviews for Concepts of Statistics
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: 10/22/15
Discrete probability review Here are a few handy techniques for computing probabilities 0 List all of the possible outcomes in the space7 which we call Omega If the outcomes are equally likely then A P A 7 lt gt 9 0 Use symmetry 0 Eliminate extra details7 and reduce the problem to an equivalent one 0 Consider nding the probability of the complement of the event of interest Let7s use these techniques to answer some questions about drawing cards from a well shuffled deck of playing cards Recall there are 52 cards in the deck7 13 red Hearts marked 2 through 107 J7 Q7 K7 A 13 red Diamonds 13 black Spades and 13 black Clubs Suppose we are interested in nding the probability for the following events A first card drawn is black B second card drawn is black 0 at least one A is drawn To nd PA we can list all of the possible outcomes To nd PB we can use symmetry PB Psecond card is red PB0 To nd the probability of 0 use the complement rule To do this7 list the outcomes as ordered pairs 1 draw7 2quotd draw Then 9 52 gtk 51 2652 and 00 48 gtk 47 2256 So 130 is 17 225626511493 Cons ider the following problems Suppose 5 cards are drawn from the top of the deck Find the chance that the ace of diamonds was drawn Find the chance that the ace of diamonds and the 2 of diamonds were drawn Find the chance that the rst card drawn was the Ace of diamonds the second was the 2 of diamonds the third drawn was the 3 of diamonds the fourth was the 4 and the fth was the 5 of diamonds Find the chance that the ve cards are the 2 3 4 5 and 6 of diamonds in any order Find the chance that 3 of the cards are red Simple Random Sampling Now lets transfer what you have know about drawing card from a deck to simple random sampling Deck of cards Cards are marked A K Shuffle the deck Dea Dea The The Cons class Stat 135 class Students are ordered 1 N 70 in our case Randomize the order of the students Pick a student from the class Select a sample of 71 students The chance the rst student chosen is 1 The number of distinct samples drawn 1 a card from the deck 1 71 cards from the deck chance the Ace of diamonds is picked number of possible hands77 dealt ider the following problems Suppose 5 students are chosen at random from the Find the chance that student 37 was chosen 7 Find the Chance that 37 and 38 were in the sample 7 Find the Chance that the rst student selected for the sample was 1 the second was 2 and the the fth was student 5 7 Find the Chance that the ve students in the sample are 1 2 3 4 5 7 Find the Chance that 3 of the students have spans larger than 20 cm 7 Hang on rst we need the following information Here are the right hand spans in cm of the students in our Class Span cm Count 17 18 185 19 195 D H H HawiboowcwH to co ww qgt w Consider our Class as a population Make a histogram of the population values for hand span
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'