STAT 300 - COLLEGE 2.6 QUESTIONS AND CORRECT RATIONALES

STAT 300 - COLLEGE 2.6 QUESTIONS AND
RATIONALES




The cGPAs cof cstudents cat cMt. cSan cAntonio cCollege care cnormally cdistributed cwith ca cmean cequ
cdeviation c0.3. cThe ctick cmarks con cthe cx-axis cof cthe cgraph cbelow care cone cstandard cdeviation c


Enter cthe cactual cvalues cthat ccorrespond cto cthose ctick cmarks. cEnter cyour canswers cto c1 cdecim

μ−3σ= c- cCORRECT cANS✔✔2.1

μ−2σ= c- cCORRECT cANS✔✔2.4

μ−σ= c- cCORRECT cANS✔✔2.7

μ= c- cCORRECT cANS✔✔3.0

μ+σ= c- cCORRECT cANS✔✔3.3

μ+2σ= c- cCORRECT cANS✔✔3.6

μ+3σ= c- cCORRECT cANS✔✔3.9

The cGPAs cof cstudents cat cMt. cSan cAntonio cCollege care cnormally cdistributed cwith ca cmean cequ
cdeviation c0.3. cThe cimage cof cthe cnormal ccurve cbelow cshows cthe cGPAs cthat care cone, ctwo, can
caway cfrom cthe cmean, cas cyou ccomputed cin cthe cprevious cproblem. cThe carea cunder cthis cnorm
c8 cregions clabeled cA cthrough cH. cThe cwidth cof ceach cregion, cexcept cthe cfar cright cand cfar cleft, c
cThe cfar cright cand cfar cleft cregions cextend cendlessly. cYou ccan cuse cthe cEmpirical cRule cagain ct
cregions cC, cD, cE cand cF. c- cCORRECT cANS✔✔Recall cthat cwe ccan cuse cthe cempirical crule cto cd
cthese cregions, cas cyou cdid cin cthe cprevious cCollaboration. cThe cimage cbelow cshows cthese carea
cD cand cE care cthe csame csince cthey care csimply c68%, cor c.68, csplit cinto ctwo cequal cregions. cThe
cthe csame c(0.135), cas care cB cand cG c(0.0235), cand cA cand cH c(0.0015).


What cis cthe cprobability cthat ca crandom cMt. cSan cAntonio cCollege cstudent chas ca cGPA cgreater c
Enter cyour canswer cto ctwo cdecimal cplaces. c- cCORRECT cANS✔✔0.16

0.135 c+ c0.0235 c+ c0.0015 c= c0.16