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Basic Statistics 6 - Stats notes if you get stuck :)
Stats notes if you get stuck :)
Course
Basic Stat I (MTH 115)
3 Documents
Students shared 3 documents in this course
University
Misericordia University
Academic year: 2022/2023
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31 Warm Up
' If
you toss 2 Fair dice , find
a) Plboth >_ 4)
b) Pllst event 2nd Odd)
No other options :
p(E) = # outcomes in E
total # of outcomes
5- { 11,
p q
' ' - - ' ... .. ( 6,6) }
2nd
18 ¥ die
6
g
- e • co g •
- ao g
2nd
- 4
die 3
- • •
2
- •
É
,
Ist
'
die
f-- both >_ 4 f-- 1st event 2nd odd
plboth 341=9-36 PAST even + 2nd odd)=%
Probability the 2 values are not equal.
• ³
'
building
"
complicated
"
events from simplies events :
• not
5 7 &
4 or
7
• and
3
2 7 complement off :-[
• C- i. 2. values equal p(E) = 8-
I 7
' É : 2 values are not equal PLÉ )=}%
PIÉ)=1 - PIE)
4. 2
- Sum
' PIA or B)
* * P( A) + PIB)
' PIA and B)*÷ PIA)xPlB)
on off @ home
Campos Campos total Pick one student at random 11690 )
/ stir 312 87 56 455 P(1st year) = 455
1690
soph 29g 93 48 440 p( at home)s185_
son 243 112 42 zg > 1090
Sen 228 131. 39 398 P(1st yr or junior) : 312+87+56+
-1112+42,455+397=4,5%-1,3%-
=
8,5¥
1690 1690
total 1082 423 185
Ploff campus or soph) : 440
1690+330=
PIA or B) =P(A) + PIB) - PIA and B) 1690 1690
NO overlap btw AB
• disjoint
³
mutually exclusive
on
campus mpos
- home
total Plsenior or at home) : 544
lstyr 312 87 56 455
####### soph 29g 93 48 440
Jun 243 112 42 Sen 228 131 . 39 398
total 1082 423 185
Plsoph and lives at home) : 1%0=0.
Plsoph)xP(at home)
:
440 185=0.
1690 × 1690
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Basic Statistics 6 - Stats notes if you get stuck :)
Course: Basic Stat I (MTH 115)
3 Documents
Students shared 3 documents in this course
University: Misericordia University
Was this document helpful?
31
Warm
Up
'
If
you
toss
2
Fair
dice
,
find
a)
Plboth
>_
4)
b)
Pllst
event
2nd
Odd
)
No
other
options
:
p(
E)
=
#
outcomes
in
E
total
#
of
outcomes
5-
{
11,11
p
q
'
'
-
-
'
.
.
.
.
.
(
6,6
)
}
2nd
18¥
die
-
6
g
¥
e
¥
co
g
¥
¥
ao
g
2nd
-
4
die
3
¥
¥
¥
2
¥
¥
ƒ
,
Ist
'
die
f-
-
both
>_
4
f-
-
1st
event
2nd
odd
plboth
341=9-36
PAST
even
+
2nd
odd
)=%
Probability
the
2
values
are
not
equal
.
¥
³
'
building
"
complicated
"
events
from
simplies
events
:
¥
not
5
7
&
or
4
7
¥
and
3
7
complement
off
:-[
2
7
¥
C-
i.
2.
values
equal
p(
E)
=
8-6
I
7
'
ƒ
:
2
values
are
not
equal
PLƒ
)=}%
PIƒ
)=1
-
PIE
)
4.
2
*
*
Sum
'
PIA
or
B)
*
*
P(
A)
+
PIB
)
'
PIA
and
B)
*Ö
PIA
)xPlB
)
on
off
@
home
total
Pick
one
student
at
random
11690
)
Campos
Campos
/
stir
312
87
56
455
P(
1st
year
)
=
455
1690
soph
29g
93
48
440
p(
at
home
)s185_
son
243
112
42
zg
>
1090
Sen
228
131
.
39
398
P(
1st
yr
or
junior
)
:
312+87+56+243
-1112+42,455+397=4,5%-1,3%-0
=
8,5¥
1690
1690
total
1082
423
185
1690
Ploff
campus
or
soph
)
:
440
1690+330=770
PIA
or
B)
=P
(A)
+
PIB
)
-
PIA
and
B)
1690
1690
NO
overlap
btw
AB
¥
disjoint
³
mutually
exclusive
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