6.2 day 2 binomial distribution reformatted

8/9/2019 6.2 Day 2 Binomial Distribution Reformatted

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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