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Homepage-Introductory St. OpenStat-Chapter5 . Introdu Chapter 4 niversity-ve × × dayton-view.usg.edu/d21/e/content/1538564/viewContent/25924973/Viev lla search Homework StatChapter04: Problem 7 Previous Problem Problem List Next Problem (1 point) At the end of a previous semester. it is tound that 823 of 1055 students have earned a passing grade in their introductory Statistics course. A set of 18 students is selected at random (without replacement, so the same student cannot be selected more than once) a what is the probability that 13 or more of the selected students eamed a passing grade? Answer b. What is the probablity that fewer than 13 of the selected students earned a passing grade? Answer (Round each answer to at least three decimal places.) Note: You can earn partial credit on this probiem Preview My Answers Submit Answers 10 You have attempted this problem 0 times You have unlimited attempts remaining

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Ans:

We will use hypergeometric distribution,as without replacement samples are drawn,so not independent trials.

use excel funtion HYPGEOMDIST:

P(x>=13)=P(x=13)+P(x=14)+P(x=15)+P(x=16)+P(x=17+P(x=18)

=HYPGEOMDIST(13,18,823,1055)+.........................+HYPGEOMDIST(18,18,823,1055)

=0.1758+0.2231+0.2102+0.1384+0.0569+0.0110

=0.8154

b)P(x<13)=1-P(x>=13)=1-0.8154=0.1846

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