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# Exam 1 W. Li problem 4:4 Assume you have a small bag of M&amp;Ms in three varieties: 40 of milk chocolate, 35 of peanut, and 25 . 25 of pretzel....

Correct me please! Can you also give explanation to each problem?

Exam 1
W. Li
problem 4:
.4
Assume you have a small bag of M&amp;Ms in three varieties: 40 of milk chocolate, 35 of peanut, and 25
.35
. 25
of pretzel. Suppose you don't like the pretzel flavor, so every time you pick a pretzel M&amp;M, you put it
back into the bag. If you pick any of other kinds, milk chocolate or peanut M&amp;M, you eat it right away.
Assume you pick only one M&amp;M at a time, and you will select three times (without looking). Find the
probability (in decimals) that: (15 points total)
16198
a) You will eat exactly one M&amp;M. (5 points)
Second dau
First
as/ICC
as /98
(25 ) (85 ( 8) . 048
24/5
25/g9
draw
?S/ ico
b) You will eat at least 2 M&amp;Ms. (5 points)
IS(
Second
10C
45 : . \$768
clicw
Third drav
c) You won't eat any of the M&amp;M. (5 points)
= . 016
Problem 5:
Susan has been keeping statistics on lost pets in her neighborhood. She has determined that 80% of
the &quot;lost&quot; pets turn up within a couple of weeks. She is tired of helping her friends look for pets for
free, so she decides to offer her neighbors a lost pet insurance plan. If they pay her \$5 to join her plan,
she will look for the pet that go missing. If she cannot find the pet within a certain period (e.g., a
week), she will pay the owner \$50. Can she make money based on her plan? (10 points total)
a) Give the probability distribution for Susan's plan in tabular form. (2 points)
X
5
-50
P(x )
8
. 2
b) Find the expected value and the standard deviation for Susan's plan. (5 points)
u: 5 (. 8)
1 (- So ) (. 2) =-16
829 6 t9 + 3. = [(? ) (9 - 0 -1 * [ (8 )2 ( 9-9 ) = 20
V 6as : 25 . 06
c) How much should Susan charge if she would like to make \$10 per client on average? (3 points)
X
6
p(x )
S
. ?
\$10 : .89 - 50(.8)
V1
she should charge \$es
if she would like to
make sto per client

Exam 1
W. Li
problem 6 :
400 college students were randomly selected for a survey . 25% take the bus to school , 10% walk , and
65% drive themselves to school . 80% of the students who drive to school are male , 70% of those who
points total )
walk are female , and 65% of those who take the bus are male . A student is selected at random . ( 15
a ) Fill out a two - way contingency table . ( 6 points )
Bus
walk
Drive
Total
Male
65
12
208
285
Female
35
28
115
Total
100
40
260
400
b ) What is the probability that the chosen student is a female student and does not drives to school ? ( 3 points )
Keep your answer in FRACTION format ( DO NOT Simplify ) !*
35 + 28)
6 3
400
400
C ) What is the probability that the chosen student walks to school or this is a male student ? ( 4 points ) Keep*
your answer in FRACTION format ( DO NOT Simplify ) !*
40
285
400
3 25
400
7400
: 2
d ) Are the 400 students a population or a sample ? Circle your answer . ( 2 points )
Sample
Population
Problem 7 : Circle the correct answer for each question . ( 1 point each - 5 points total )
1 . Which of the following graphical method is not suitable for describing a single quantitative variable ?*
A ) Dot Plot
B ) Histogram\
C ) Stem- and - Leaf Display
( Djpie Chart E ) None of the above
2 . A dataset has the median of 20 and the mean of 19.5 , then the distribution of this dataset is
A ) Perfectly symmetrical B ) Bimodal ( C ) Skewed to the left D ) Skewed to the right*E ) None of the above*
3 . A fair dice is rolled 10 times . What is the standard deviation of the even number ( 2 , 4 , or 6 ) outcomes ?
A ) 10
B ) 5
C ) 2.5
D / 1 . 581\
( E ) None of the above
4 .. Nationality would be what kind of variable ?*
A ) Quantitative , Ratio
B ) Quantitative , Interval
C ) Qualitative , ordinal\
. 2
5 . TWO mutually exclusive events are
( D ) Qualitative , nominal
dependent .
A ) Never
B ) Always
C ) Not Sure*
D ) Sometimes
E ) None of the above
Problem 8 : Staple your cheat sheets to the back of the exam ( DO NOT include the binomial table ) . ( 5 points )
VI
F
5

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