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Warm-up6.2 Binomial Distribution (Day 2)
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Student of the day!Block 4
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Student of the day!Block 5
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Revie of binompdf and binomdf
1) It is estimated that 15% of the population
suers some form of mental illness at onepoint of their lives. In a small company thatemploys 20 employees. Determine theprobability that 2 employees suer or had
suered some form of mental illness.
2) Delores has a free-thro shootin! percenta!e
of 0."5. #hat is the probability that she ma$esno more than 5 free thros out of 10attempts
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6.2 Binomial Distribution "ormulasvs. #robability Distribution "ormulas
#robability Distribution BinomialDistribution
∑
∑
∗−=
=
i xi x
ii x
p x
p xu
22 )( µ σ )1(2 p pn
npu
x
x
−=
=
σ
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6.2 (Day 2) Binomial Distribution"indin$ the mean and SD
( ) pnp pn x E
x
x
−===1
)(
σ
µ
As n increases, the distribution becomes more normal.
&haracteristics of 'inomial
Distribution(
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Shape% &enter and Spread
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.#. and *ui+ ne,t bloc$".2 2/-25
'e ready for a *ui+ on ".1 and ".2
ou ill be !iven the folloin! formulason the
day of the *ui+( ( )
)1(
ondistributi binomialFor
)(E(x) 22x
pnpnk
pu x xVar p x
x
i xi xii
−==
−==== ∑∑σ µ
σ µ
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&onlusions from Student "eedba' .#. Statistis
ood and should 'eep
• rinted otes
• Documents on 3harepoint
• &learly labeled daily schedule
• ractice 4ests
• &ollaborative #or$
•
3tudent of the day6I( 4he calculator can be used
on all the e,am. 4here is nonon-calculator section.
4hose of you that ant access
to7.. 8eleased 9aterial: brin! a
;ashdrive and come in durin!
'loc$ s.
- I ill include more 7..type *uestions in a !ame
or activity for each chapter.
• 8educe of items ona!enda
• ? the class li$es activities
and other don@t. - 3olution( dierentiated
instruction: there ill bedays here you can choseto do an activity or 7..type *uestions
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+ultiple &hoie #ratie on #robability
1) 7 binomial event has n A "0 trials. 4heprobability
of success on each trial is 0.B. Cet be the countof
the successes of the event durin! the "0 trials.
#hatare
Ea)2B: /.
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2) &onsider repeated trials of a binomial randomvariable. 3uppose the probability of the =rstsuccess occurrin! on the second trial is 0.25.#hat is the probability on the =rst trial
Ea)G
Eb)1Ec)?
Ed)1HEe)/H1"
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/) 8ussell@s parents buy to apples eachee$end: and put them in his lunch on to
randomly selected ee$days of the folloin!ee$. #hat is the probability that 8ussell !etsan apple on e,actly one of 9onday or 4uesdayne,t ee$.
Ea) Ed)
Eb) Ee)
Ec)
( ) 325
2 )6.0()4.0(
( ) 4151 )6.0()4.0(2
( ) 452 )6.0)(4.0(2
10
6
−
4
1
5
2
5
2
5
2
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B) Delores has a free-shootin! percenta!e of0."5. #hat is the probability that the =rst
free thro she mana!es to ma$e is on her Bth attempt. #hich of the folloin! ould lead tothe correct anser
Ea)'inomcdf EB: 0."5: 1)
Eb)'inompdfEB: 0."5: 1)
Ec)E0."5)E1-0."5)/
Ed) ( ) 341 )65.01)(65.0( −
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B,S /0S1,!
7t Jennett i!h 3chool: 5% of athletes play
football and some other contact sport: /0%play football: and B0% play other contactsports. If there are 200 athletes: ho manyplay neither football nor any contact sport.
Dra a to-ay table of the data.Solve for ho many students (not
perent) play neither football or anyontat sport.
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.# Statistis Released /uestionrefecting knowledge o ormula
45 == x
sand x 1010 == y sand y
x y 0.30.5ˆ +−= x y 0.3ˆ = x y 3.05.8ˆ +=
x y 5.20.5ˆ += x y 4.00.10ˆ +=
x
y
s
sr b
xb yb
xbb y
=
−=
+=
1
10
10ˆ
nformation iven3
&hoies
,ther side to &umulative #robability
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,ther side to &umulative #robabilityor'sheet
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1. 0.0B
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4.W. 0t5
".2 2/ K 25
Coo$ at both assi!nments( 7.. ractice of &h. 5and &h."and Lne-'oy 6amily lannin!
Decide hich one you ant to complete andprint it for 6ebruary "th E9onday)
"ebruary 2nd (1hursday) "./ Meometric
Distribution and >ui+ on ".1 and ".2"ebruary 6th (+onday) 7.. 3tatistics =nishedmore details on "./ and start on selectedassi!nment
1st day o Ntbk Check
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7nsers to #hiteboard8evie
• 1) a ) c
• 2) c 'onus 4o-ay tableshould
• /) d sho that