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MAC 09In the CSU system, 78% of the students are California residents. Two CSU students are to be chosen at random. Sketch a tree diagram on scratch paper to help answer the following. Find the probability that....  a) ... both are California residentsb) ...one is a California resident and the other is notc) ...neither is a California residentd) ...at least one is a California resident

Question

MAC 09

In the CSU system, 78% of the students are California residents. Two CSU students are to be chosen at random. Sketch a tree diagram on scratch paper to help answer the following. Find the probability that....

 

 

a) ... both are California residents

b) ...one is a California resident and the other is not

c) ...neither is a California resident

d) ...at least one is a California resident

check_circleAnswer
Step 1
Note: We
ane autholecl to anaoen thoee duppan at a time, Zina the
an foun ub-pant and you haven
mention ed hich One dou
Lirst 3 dub-ponh
Jeoking for, hefore
Plhas Yepont youn qustion anaky for th umaining Aub pent-
the
anwoening
we ane
this Qustion, 781. G
the eseanchun
Californians Yecaidens. When
kandomy chonen hoo sludunh, t reauired to moku the
ind Probabiliy
the Hudnt on
aph (tree diaicam) all frible Outome and hun
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Note: We ane autholecl to anaoen thoee duppan at a time, Zina the an foun ub-pant and you haven mention ed hich One dou Lirst 3 dub-ponh Jeoking for, hefore Plhas Yepont youn qustion anaky for th umaining Aub pent- the anwoening we ane this Qustion, 781. G the eseanchun Californians Yecaidens. When kandomy chonen hoo sludunh, t reauired to moku the ind Probabiliy the Hudnt on aph (tree diaicam) all frible Outome and hun

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Step 2
Givent
Californian yeidnds
Rant A)
Bo th
Califomia re sidenh
Two Outcome
California
Residonks
California
Reaiden
P( Both
an Clifonia residsnt) )O.?8 x o. 0
O6084
Becaux Bo th tudont
ane indupendint)
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Givent Californian yeidnds Rant A) Bo th Califomia re sidenh Two Outcome California Residonks California Reaiden P( Both an Clifonia residsnt) )O.?8 x o. 0 O6084 Becaux Bo th tudont ane indupendint)

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Step 3
Pant B)
One is California resident and othen is not
Tw o Out(omu
Two Out tomu
gecond s (abilonia
sicbnt
firat 'is not
(alifornia Rasidnt
Becond i rot
finst (aliniealfnia Raidmt
Residont
One is calionia reaidon and otu not)
Probaki Lity
0.22 Xo.70
O.8 xo.22
O. 3432
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Pant B) One is California resident and othen is not Tw o Out(omu Two Out tomu gecond s (abilonia sicbnt firat 'is not (alifornia Rasidnt Becond i rot finst (aliniealfnia Raidmt Residont One is calionia reaidon and otu not) Probaki Lity 0.22 Xo.70 O.8 xo.22 O. 3432

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