Business statistics exam 2 questions with
correct answers
a /bell /shaped /curve /is /- /correct /answer(s) /✔✔ /normal
a /rectangle /on /the /graph /is /- /correct /answer(s) /✔✔ /uniform
A /------ /can /assume /any /value
in /an /interval /on /the /real /line /or /in /a /collection /of /intervals /when /talking /about /--------- /-
correct /answer(s) /✔✔ /continuous /random /variable
/
Continuous /Probability /Distributions
for /the /----------- /It /is /not /possible /to /talk /about /the /probability /of /the
random /variable /assuming /a /particular /value. /Instead, /we /talk /about /the /probability /of /the
/random
variable /assuming /a /value /--- /- /correct /answer(s) /✔✔ /Continuous /Probability /Distributions
within /a /given /interval
according /to /the /------The /probability /of /the /random /variable /assuming /a
value /within /some /given /interval /from /x1 /to /x2 /is /defined /to /be /the /area------ /of /the /------
between /x1 /and /x2. /- /correct /answer(s) /✔✔ /Continuous /Probability /Distributions
/
under /the /graph
probability /density /function
A /random /variable /is /----------
,whenever /the /probability /is /proportional /to /the /interval's /length. /- /correct /answer(s) /✔✔
/uniformly /distributed
The /--------is: /is /where /a /is /the /--- /value /the /variable /can /assume /and /b /= /---- /value /the
variable /can /assume /- /correct /answer(s) /✔✔ /uniform /probability /density /function
/
smallest
largest
UNIFORM /Probability /Distribution /involves /- /correct /answer(s) /✔✔ /uniform /probability
/density /function
variance /of /x
expected /value /of /x
Example: /Slater's /Buffet
Slater /customers /are /charged /for /the /amount /of /salad /they /take. /Sampling /suggests /that /the
/amount /of /salad /taken /is /uniformly /distributed /between /5 /ounces /and /15 /ounces.
where:
x /= /salad /plate /filling /weight /- /correct /answer(s) /✔✔ /@Uniform /Probability /Distribution
f(x) /= /1/10 /for /5 /< /x /< /15
= /0 /elsewhere
@Expected /value /of /X
(x) /= /(a /+ /b)/2 /= /(5 /+ /15)/2 /= /10
@Variance /of /x
Var(x) /= /(b /- /a)2/12 /= /(15 /- /5)2/12 /= /8.33
anything /in /a /range /equals /- /correct /answer(s) /✔✔ /continuous /probability /distribution
,first /you /have /to /find /the /range /in /order /to /find /the /- /correct /answer(s) /✔✔ /probability
probability /under /the /graph /is /the /- /correct /answer(s) /✔✔ /area
the /area /can /be /the /- /correct /answer(s) /✔✔ /probability
uniform /means /- /correct /answer(s) /✔✔ /equal, /the /same
is /spread /out /evenly /among /the /range /- /correct /answer(s) /✔✔ /probability
what /formula /is /discrete /from /chapter /5 /- /correct /answer(s) /✔✔ /uniform /probability
/distribution
what /formula /is /continuous /- /correct /answer(s) /✔✔ /uniform /probability /DENSITY /distribution
b-a /= /- /correct /answer(s) /✔✔ /range /of /possibilities
x /- /correct /answer(s) /✔✔ /observation
x /is /between /- /correct /answer(s) /✔✔ /a /and /b
elsewhere /probability /= /- /correct /answer(s) /✔✔ /0
lower /and /upper /boundaries /are /- /correct /answer(s) /✔✔ /parameters
, 5 /ounces /and /15 /ounces /are /- /correct /answer(s) /✔✔ /lower /and /upper /boundaries /which /are
/parameters
the /probability /of /the /plate /weighing /more /than /15 /or /less /than /5 /is /- /correct /answer(s) /✔✔ /0
keys /of /knowing /when /to /use /the /probability /distribution /function /- /correct /answer(s) /✔✔ /if
/the /question /talks /about /parameters, /equally /likely, /assume /uniform /distribution,
f( /12 /is /less /than /or /equal /to /x /which /is /less /than /or /equal /to /15) /it /is /the /same /without /the /-
correct /answer(s) /✔✔ /equal /line /underneath
/
the /average /is /the /- /correct /answer(s) /✔✔ /expected /value
between /12 /and /15 /looks /like /- /correct /answer(s) /✔✔ /x /is /greater /or /equal /to /12 /and /x /is /less
/than /or /equal /to /15 /(12<x<15)
f(x) /equals /(12<x<15) /which /is /a /- /correct /answer(s) /✔✔ /probability
area /of /a /rectangle /formula /- /correct /answer(s) /✔✔ /width /times /height
probability /and /are /formula /for /rectangle /- /correct /answer(s) /✔✔ /width /times /height
width /is /equal /to /- /correct /answer(s) /✔✔ /15-12 /in /the /(12<x<15) /probability
height /equals /- /correct /answer(s) /✔✔ /uniform /probability /distribution
correct answers
a /bell /shaped /curve /is /- /correct /answer(s) /✔✔ /normal
a /rectangle /on /the /graph /is /- /correct /answer(s) /✔✔ /uniform
A /------ /can /assume /any /value
in /an /interval /on /the /real /line /or /in /a /collection /of /intervals /when /talking /about /--------- /-
correct /answer(s) /✔✔ /continuous /random /variable
/
Continuous /Probability /Distributions
for /the /----------- /It /is /not /possible /to /talk /about /the /probability /of /the
random /variable /assuming /a /particular /value. /Instead, /we /talk /about /the /probability /of /the
/random
variable /assuming /a /value /--- /- /correct /answer(s) /✔✔ /Continuous /Probability /Distributions
within /a /given /interval
according /to /the /------The /probability /of /the /random /variable /assuming /a
value /within /some /given /interval /from /x1 /to /x2 /is /defined /to /be /the /area------ /of /the /------
between /x1 /and /x2. /- /correct /answer(s) /✔✔ /Continuous /Probability /Distributions
/
under /the /graph
probability /density /function
A /random /variable /is /----------
,whenever /the /probability /is /proportional /to /the /interval's /length. /- /correct /answer(s) /✔✔
/uniformly /distributed
The /--------is: /is /where /a /is /the /--- /value /the /variable /can /assume /and /b /= /---- /value /the
variable /can /assume /- /correct /answer(s) /✔✔ /uniform /probability /density /function
/
smallest
largest
UNIFORM /Probability /Distribution /involves /- /correct /answer(s) /✔✔ /uniform /probability
/density /function
variance /of /x
expected /value /of /x
Example: /Slater's /Buffet
Slater /customers /are /charged /for /the /amount /of /salad /they /take. /Sampling /suggests /that /the
/amount /of /salad /taken /is /uniformly /distributed /between /5 /ounces /and /15 /ounces.
where:
x /= /salad /plate /filling /weight /- /correct /answer(s) /✔✔ /@Uniform /Probability /Distribution
f(x) /= /1/10 /for /5 /< /x /< /15
= /0 /elsewhere
@Expected /value /of /X
(x) /= /(a /+ /b)/2 /= /(5 /+ /15)/2 /= /10
@Variance /of /x
Var(x) /= /(b /- /a)2/12 /= /(15 /- /5)2/12 /= /8.33
anything /in /a /range /equals /- /correct /answer(s) /✔✔ /continuous /probability /distribution
,first /you /have /to /find /the /range /in /order /to /find /the /- /correct /answer(s) /✔✔ /probability
probability /under /the /graph /is /the /- /correct /answer(s) /✔✔ /area
the /area /can /be /the /- /correct /answer(s) /✔✔ /probability
uniform /means /- /correct /answer(s) /✔✔ /equal, /the /same
is /spread /out /evenly /among /the /range /- /correct /answer(s) /✔✔ /probability
what /formula /is /discrete /from /chapter /5 /- /correct /answer(s) /✔✔ /uniform /probability
/distribution
what /formula /is /continuous /- /correct /answer(s) /✔✔ /uniform /probability /DENSITY /distribution
b-a /= /- /correct /answer(s) /✔✔ /range /of /possibilities
x /- /correct /answer(s) /✔✔ /observation
x /is /between /- /correct /answer(s) /✔✔ /a /and /b
elsewhere /probability /= /- /correct /answer(s) /✔✔ /0
lower /and /upper /boundaries /are /- /correct /answer(s) /✔✔ /parameters
, 5 /ounces /and /15 /ounces /are /- /correct /answer(s) /✔✔ /lower /and /upper /boundaries /which /are
/parameters
the /probability /of /the /plate /weighing /more /than /15 /or /less /than /5 /is /- /correct /answer(s) /✔✔ /0
keys /of /knowing /when /to /use /the /probability /distribution /function /- /correct /answer(s) /✔✔ /if
/the /question /talks /about /parameters, /equally /likely, /assume /uniform /distribution,
f( /12 /is /less /than /or /equal /to /x /which /is /less /than /or /equal /to /15) /it /is /the /same /without /the /-
correct /answer(s) /✔✔ /equal /line /underneath
/
the /average /is /the /- /correct /answer(s) /✔✔ /expected /value
between /12 /and /15 /looks /like /- /correct /answer(s) /✔✔ /x /is /greater /or /equal /to /12 /and /x /is /less
/than /or /equal /to /15 /(12<x<15)
f(x) /equals /(12<x<15) /which /is /a /- /correct /answer(s) /✔✔ /probability
area /of /a /rectangle /formula /- /correct /answer(s) /✔✔ /width /times /height
probability /and /are /formula /for /rectangle /- /correct /answer(s) /✔✔ /width /times /height
width /is /equal /to /- /correct /answer(s) /✔✔ /15-12 /in /the /(12<x<15) /probability
height /equals /- /correct /answer(s) /✔✔ /uniform /probability /distribution
