Annotated-In-class-ac14

.pdf
School
Ivy Tech Community College, Indianapolis **We aren't endorsed by this school
Course
MATH 316
Subject
Statistics
Date
Sep 1, 2023
Pages
1
Uploaded by ProfIceDuck26 on coursehero.com
STAT 35000 Name (Print): ~ ' . In-Class-Activity 14 Time Limit: 10 Minutes Instructor: _ This working sheet contains 1 page and 1 problem. Check to see if any pages are missing. Er.1ter all requested information on the top of this page and put your initials on the top of every page in case the pages become separated. 1. Roll a fair, six-sided die 30 times and let X denote the average of the rolls. (a) (5 points) What is the probability that the average will be between 3 and 4? X has uniform distribution on {1, 2, 3, 4, 5, 6}. Hence, E[X]=3.5 and var(X)= Since n is large, X follows approximately N (3.5,-?) Y Lol L.) £y ixss - - Y20 ND Difw('/z,sq,;,s) X N /\/(fl,—yr P bé.;SLI) J'{:.?'f, O'J':'}',%_ Dot l 25 ;nopma\éclp (3/ ",}35 """2__*'2?55') = 89 (b) (5 points) How many times should you roll the die to be 95% certain the average will fall between 3 and 47 XM % etween 3 an | 95:p(3\<>(éq):"( 'g—;(fi']é 2_39 X follows N (3.5,—), ), B Jéezs 21 Wfl). -5 . "?69? : - = \*'9%29 79 " JI n 1,9509)( 57| 22°'1¢C7 /) 1220 F 9 (23-!6'7) M —z or, n= 44 '7Z4Take the next higher integern = 45
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