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by: Carmen Mayer

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4

# Elementary Statistics STA 013

Carmen Mayer
UCD
GPA 3.69

Staff

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COURSE
PROF.
Staff
TYPE
Class Notes
PAGES
4
WORDS
KARMA
25 ?

## Popular in Statistics

This 4 page Class Notes was uploaded by Carmen Mayer on Tuesday September 8, 2015. The Class Notes belongs to STA 013 at University of California - Davis taught by Staff in Fall. Since its upload, it has received 18 views. For similar materials see /class/191917/sta-013-university-of-california-davis in Statistics at University of California - Davis.

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Date Created: 09/08/15
STA 13C Discussion6 Revised Version Feb 17 2009 Total Pagesz4 1 418 Explain why each of the following is or is not a valid probability distribution for a discrete random variable X Solution a It is a valid probability distribution for a discrete random variable Xbecause l7 0 S pltzgt1vz b It is not a valid probability distribution for a discrete random variable Xbecause lt l C It is not a valid probability distribution for a discrete random variable Xbecause Hzpz lt 0 cl It is not a valid probability distribution for a discrete random variable Xbecause gt 1 437 Expected winnings in roulette In the popular casino game of roulette7 you can bet on whether the ball will fall in an arc on the wheel colored red7 black7 or green You showedExercise 3517 p136 that the probability of a red outcome is 18387 that of a black outcome is 18387 and that of a green outcome is 238 Suppose you make a 5 bet on red Find your expected net winnings for this single beti lnterpret the result Solution Ez 5 3 1838 75 3 1838 75 3 238 7263 461 Assigning a passing grade A literature professor decides to give a 20question truefalse quiz to determine who has read an assigned noveli She wants to choose the passing grade such that the probability of passing a student who guesses on every question is less than 305 What score should she set as the lowest passing grade Total Pagesz4 2 Solution Suppose the lowest passing gradem7 then the probability of passing a student who guesses on every question is pz 2 m 17101 S m7 1 17220111 m7 1 17 231 15 1520 7 7 it is a cumulative binomial probability So if the lecturer wants the probability of passing a student who guesses on every question is less than 057 pz S m 7 1 should be no less than 195 A graph of the cumulative binomial probabilities pz S m for n20 and pi5 is shown belowi m 0 1 2 3 4 5 6 pz S m 9 536743e07 2002716e 05 2012253e04 1 288414e03 5 908966e03 02069473 05765915 m 7 8 9 10 11 12 13 pz S m 1315880 2517223 4119015 5880985 7482777 8684120 9423409 In 14 15 16 17 18 19 20 pz S m 9793053 9940910 9987116 9997988 9999800 9999990 1000000 Therefore the minimum In which satis es pz S mil no less than 95 is pz S 1571 19793053 the score the lecturer should set as the lowest passing grade m15l 469 abeg Show how to use Table 3 note Table 3 is a little bit different from an ordinary normal table also show how to use minitab to get normal probability Find each of the following probabilities for a standard normal random variable z a P2 1 b P2 S 1 er P71 S 2 S 1 gr 1372116 S 2 S155 Solution a P2 1 0 b Pz g 1 15 73413 8413 e P913 2 g 1 2 73413 6826 g P72l16 S 2 S 55 4846 2088 6934 3995 191mm 71 1mm Eamon s 1933 19ng mueq sq uo SBIOOS p2 Jo uounqgnsgp sq 1x211 aumssV 39g39g smzx uoympmp pmpums sq pm U SBAA BIOOS maul 91H 191qu emanxamg o1 Maxm2 ou0 11ml 931ml 91933 sq uo SBIODS 2661 39 nV suodaa POI OIOqOKSd 39almuousanb 911233 angXuV mueq sq pagalduloo Ansmmu xaquaum m smapms A oloqoxsd 39Kpnqs Megxue equaq 81417 S39QQIV QAIHO PUIION 9111315 pp 39an ungssluuod Aq pmnpmdnu km 39KnumanuA MN WWW mnquui quotmummy muH w 1 nlquimmj WWW Huang LXff39 L361quot IT 06fquot f39 6quot War 987 S ht RM 9110 UM L 090339 l 0800 HJO 0000 039 00 8039 Ll 9039 5039 quotV 0 2039 039 00 snmv mm HLLLIDN m 313w g sta ed equ

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