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Midterm Practice Problems

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Fall.
Math 180A
Realterna
.
1
A
Suppose
1
B
.
What
that
the
among
What
her
bag
what
(b)
Given
the
X
10
all
that
other
be
a
table
(b) let
a s0
·
class
balls
X
a
there
180 A
30
of
empty
are
Seniors
uniformly
from
ramdam
at
sophomores
5
3
Juniors
,
you
has
choose
in
the
Each
.
contains
balls
pink
all
brg
a
the
beg
variable
=
S
* (X = 6)
d)
=
continue
als
you
is
at
witl
radow
green
is
and
,
;
3
and
and
balls
has
one
pull
.
a
a
ball out
green ?
what
is
,
are
pict ?
calf
20
r
x
- 0
I)-buzX=0
and
bin
close
chose
you
es
(
Calculate
=
ball
chose
you
5-
is
Mat
in
exactly
one
;
You
.
random
I(X
Ce)
is
,
-
front
in
balls
ball
E(x)
Calculate
ARBDC
and
1
.
sidel
the
I
0
chosen
is
that
probability
the
=
?
green
looking
is
3
Juniors
the
in
green
-
students
students
the
0
=
I(BRC)
=
70
chosen
I
and
(a)
Cas
the
probability
on
with
ICAUBUCL ?
of
of
are
bags
without
let
ICARC)
=
among
the
is
three
.
1P(C)
=
students
seniors
part
4
1P(B)
=
committee
one
are
sophomores
50
.
3
wents
value
the
is
Suppose
2
C
and
CARB)
and
A
Problems
,
⑬(A)
.
2
Practice
Cartagnini
23
-
=X-
(
-
xX
-
d)
d)
0
rad ou
variable
?
and
the
probability
that
Lei
5
.
be
X
rand
a
fx(x)
find
(a)
Compute
IE[A]
(C)
compute
Var(X)
A
,
B
be
have
You
.
both
sides
(a) If
is
(b)
and
,
choose
you
do
3
tosses
double
the
A
1800
tunes
white
for
:
times
3
what
,
it
undered
that
Heads
up
comes
coin
the
close
you
?
I
Heads
up
Heads
of
PC 1150-511250)
for
You
times ,
the
of
member 5
the
down
d(a)
examination
your
March
to
,
answer
2020
bound the
lean;
360
olow tal
of
you
your
3
Just
probability
days
be
that
household
and
ph ~N(up
IETX]
Bin (u p)
Set
=
An
lasi
~
ful
your
Bin (r ,
large
n
X
if
.
it
?
tosses
3
probability
(1150/S1250) using
Approximate
it
9
all
.
toss
and
and
,
conditional
expression
an
remdom
sides
on
that
but
,
toos
came
do
the
com
up
.
compute
not
explicitly
it
(b)
down
(a)
Show that
Heads
with
win
one
,
both
a
Heads
up
part
in
loving
write
and
;
cab
Header
-
at
.
(BIC)
tails
cois
5
come
the
is
bided
is
win
the
CBRC)10
and
fair wins
3
:
with
com
of
(C)s0
with
pocket
it will
What
.
< I
.
(Alnc)
experiment
the
palf
a
your
one
You
<x
otherwise
&
=
one
probability
was
.
in
the
all
8
wins
5
0
Since
<x
wents
ICABIC)
7
palf
c(x)]
C
and
,
is
#[
coupuie
Let
.
E
=
f
thai
so
(b)
Colb
6
c
with
valuable
our
=
up
is
the
household
days
bought
than
in
100
100
approximation
.
up(rp))
,
Var(X)
terms
in
Normal
=
upC1-p)
plat
of
calf
of
reveals
ecovowy
expectation
than
with
rolls
of
talei
rolls
of
toile
where
,
an
,
paper
.
Noah
a
roll
valiance
.
paper
Use
lat
4
of
.
toilet
days
.
It
Chebyshev's
your
paper
is
inequality
household
at
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