Math
351

Homework
9
Due
in
class
on
Thursday.
1.
An
urn
contains balls
numbered
1
to
10.
Balls
numhered
1,2,4.6.7.9
are
hlue;
balh:;
numhered
3,5.8
arc
red: ball
number
10
is green. A single ball is chosen. Let
B
"it
is hlnc",
R
=
"it is red" ,
G
"it is green"
and
E
=
"it
has
an
even
number".
Decide each
of
the
following
by
means
of
an
appropriate
calcnlation.
(a;;;;)E;n;n('f'7Y
tJ)
~
W
f/(IJ)
It~):;a
([
VY~::Y'i"J).
/(17
'?ff
1"0)
::.
s.;]l
~
l~..{'7'~"
~e~·
I'D
W
(b) Are
Rand
E
independent?
I(~/$)::;a(
n~?}1
~~~U/'O.v
@
,/J
{~JW
.
.'.
rJ
~
.('1
"'~e.,
,!",e~
.
.
(c) Are
Rand
G
independent?
jJ{~~G)=
/(
p)=')1
4'rd
/t?)/tJ;)1IE
O·
I
_
,tt
,

..
'l~l
/'1cf~e.*t~~~
2.
Suppose
A
and
B
are two events such
that
peA)
=
2/11
and
PCB)
3/11.
(a)
If
we
know
that
A
and
B
are mutually exclusive,
what
is
the
probability
that
either
A
or
B
occurs'!
(b)
If
we
know
that
11
and
B
are independent,
what
is
the probability
that
either
A
or
B
occurs?
;P{4
v
lJ)::
IJ{~)~
/(/$/
;P(A;1)
=:
fJiFl)f
/It'~/
jJ('A)/Uj/
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
oV
1
3.
Urn
I
has
two red
and
3 blue balls,
urn
II
has three red
and
one blue balL Choose
an
urn
randomly (assume you chose
urn
I with probability
1/3
and
urn
II with probability
This is the end of the preview.
Sign up
to
access the rest of the document.
 Spring '08
 Moumen,F
 Probability, Trigraph, 0 , 4.6.7.9

Click to edit the document details