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CHAPTER6:THENORMALDISTRIBUTION


Initsstandardizedform,thenormaldistribution
hasameanof0andastandarddeviationof1.
hasameanof1andavarianceof0.
hasanareaequalto0.5.
cannotbeusedtoapproximatediscreteprobabilitydistributions.

ANSWER:
a
TYPE:MCDIFFICULTY:Easy
KEYWORDS:standardizednormaldistribution,properties

Whichofthefollowingaboutthenormaldistributionisnottrue?
Theoretically,themean,median,andmodearethesame.
About2/3oftheobservationsfallwithin1standarddeviationfromthemean.
Itisadiscreteprobabilitydistribution.
Itsparametersarethemean,,andstandarddeviation,.

ANSWER:
c
TYPE:MCDIFFICULTY:Easy
KEYWORDS:normaldistribution,properties

Ifaparticularbatchofdataisapproximatelynormallydistributed,wewouldfindthatapproximately
2ofevery3observationswouldfallbetween1standarddeviationaroundthemean.
4ofevery5observationswouldfallbetween1.28standarddeviationsaroundthemean.
19ofevery20observationswouldfallbetween2standarddeviationsaroundthemean.
Alltheabove.

ANSWER:
d
TYPE:MCDIFFICULTY:Easy
KEYWORDS:normaldistribution,properties

ForsomepositivevalueofZ,theprobabilitythatastandardnormalvariableisbetween0andZis0.3770.ThevalueofZis
0.18
0.81
1.16
1.47

ANSWER:
c
TYPE:MCDIFFICULTY:Moderate
KEYWORDS:standardizednormaldistribution,value
ForsomevalueofZ,theprobabilitythatastandardnormalvariableisbelowZis0.2090.ThevalueofZis
–0.81
–0.31
0.31
1.96

ANSWER:
a
TYPE:MCDIFFICULTY:Moderate
KEYWORDS:standardizednormaldistribution,value

ForsomepositivevalueofZ,theprobabilitythatastandardnormalvariableisbetween0andZis0.3340.ThevalueofZis
0.07
0.37
0.97
1.06

ANSWER:
c
TYPE:MCDIFFICULTY:Moderate
KEYWORDS:standardizednormaldistribution,value

ForsomepositivevalueofX,theprobabilitythatastandardnormalvariableisbetween0and+2Xis0.1255.ThevalueofXis
0.99
0.40
0.32
0.16

ANSWER:
d
TYPE:MCDIFFICULTY:Difficult
KEYWORDS:normaldistribution,value

ForsomepositivevalueofX,theprobabilitythatastandardnormalvariableisbetween0and+1.5Xis0.4332.ThevalueofXis
0.10
0.50
1.00
1.50

ANSWER:
c
TYPE:MCDIFFICULTY:Difficult