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FALL 2015 STA 2023 INTRODUCTORY STATISTICS-1
PROJECT
INSTRUCTOR: VENKATESWARA RAO MUDUNURU
EMAIL: VMUDUNUR@MAIL.USF.EDU
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IMPORTANT:
You should submit the answers for this project in the link provided on my website
www.vmudunuru.com
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Link will be available from November 1, 2015 to submit your answers.
The deadline to submit your project answers is November 27, 2015 by 11:59 PM.
You can submit the project solutions only once. Please check your answers before
you submit them.
INSTRUCTIONS:
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1. Favorable Card Selection: In the Table-3 of this document there are 26
alphabet assigned with a unique cards from a deck of cards as their
favorable event. Students whose LAST NAME starts with A are assigned with
BLACK-ACE as their favorable event. Similarly students whose LAST NAME
starts with N are assigned with RED-7 as their favorable event, and so on.
2. Give your answers in two decimal places for the probabilities calculated in
this project. Do not use fractions.
3. Follow the hints to answer your questions.
4. You may only submit this project once! Please check your work before you
submit it.
5. Your section number must be between 21 – 26 or between 41 – 46. Use only
two digits to mention your section. For example 21 or 43, etc.
First Name:
Last Name:
Section:
UID (Starting with U):
FALL 2015 STA 2023 PROJECT
© MUDUNURU, VENKATESWARA RAO
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Experiment-1: Shuffle a deck of cards at least for 5 times and then lay out eight
cards face up. Record the number of red cards or black cards according to your
choice as given below in the Table-3. Reshuffle and lay out 8 cards again face up.
Repeat this for 4 trials and fill the Table-1 with your observations in each trail and
complete the Table with computing your probabilities in the third column of Table-1.
Question-1: Based on your Last Name what is your favorable card for doing these
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experiments? {Hint: Black-A, Red-K, etc…}
Question-2: If X is the random variable of drawing your favorable card, is X a
discrete random variable or a continuous random variable? {Hint: Give your answer as
Discrete or Continuous}
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Question-3: When drawing a card from the deck of cards, what is the probability of
drawing your favorable card?
Question-4: When you draw 8 cards out of the deck. What is the probability that we
have exactly 4 of your favorable color (red or black) cards?
Let # of Fav Colors denote the Observed Number of your Favorable color (Red or
Black) Cards in each trial.
Let # of Fav Card denote the Observed number of your Favorable card facing up
in each trial.
Let P(# of Fav Card |# of Fav Color) denote the Probability of your favorable card
given that your favorable color showed up in each trial.
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Question-5: Complete the Table-1 with your results.
Table 1 for Experiment-1
Trials
# of Fav Colors
# of Fav Card
P(# of Fav Card|#
of Fav Colors)
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FALL 2015 STA 2023 PROJECT
© MUDUNURU, VENKATESWARA RAO
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Experiment-2: Perform the following action thrice, and record how many favorable
outcomes occurred after performing these steps for three times. Your event is
drawing a favorable card mentioned below in Table-2.
Do this experiment for 10 times. Remember that performing three steps is
considered as one trial. You should do this for 10 times.
START
STOP
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Step-1: Draw a card from a standard deck, and note if whether the card
drawn is your favorable outcome or not. Place the card back in the deck.
Step-2: Be sure to shuffle the deck, draw for second time, note if whether the
card drawn is your favorable outcome or not. Place the card back in the
deck.
Step-3: Be sure to shuffle the deck again, draw for third time, note if whether
the card drawn is your favorable outcome or not. Place the card back in the
deck.
Now shuffle again, repeat these 3 steps for 10 times. Note the results based on your
favorable card or not. Then record how many favorable events you have got. Your
results will look like 0, 3, 1, 0, 2, 0, 0… TEN values.
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Remember your favorable event can happen only for one time in your three
attempts, then record it as 1;
OR if your favorable event can happen for two times in your three attempts, then
record it as 2;
OR if your favorable event can happen for all the three times in your three
attempts, then record it as 3;
OR it will not happen in all the three attempts, then record it as 0;
Question-6: What will be your sample space in this experiment? [Note: Give your
answer in { } with comma separation. [Hint: For example: {11,12,13}]]
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Question-7: List all your outcomes in order for this experiment? [Note: Give your
answer in { } with comma separation. [Hint: For example: {1,0,0,2,0,3…}]
Question-8: What is the probability of your respective favorable outcome?
Question-9: Let X be the random variable that your favorable outcome can
happen.
FALL 2015 STA 2023 PROJECT
© MUDUNURU, VENKATESWARA RAO
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Based on your results in doing this experiment-2, record your results in the following
Table-2
Table 2 for Experiment-2
Frequency
Probability of X
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X
0
1
2
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Question-10: What graph can well explain your experiment? Histogram or Bell
Curve?
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Question-11: What is the expected value for your favorable event to occur?
Question-12: What is the variance of your favorable event to occur?
Question-13: What is the standard deviation of your favorable event to occur?
Question-14: Is the probability distribution in Table-1 a plausible or not. [Hint: Give your
answer as Yes or No]
Question-15: Is the probability distribution in Table-2 a plausible or not. [Hint: Give your
answer as Yes or No]
Question-16: Is the probability distribution in Table-3 a plausible or not. [Hint: Give your
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answer as Yes or No]
FALL 2015 STA 2023 PROJECT
© MUDUNURU, VENKATESWARA RAO
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Table 3 Selection Table
Card
Choice
ACE
ACE
2
2
3
3
4
4
5
5
6
6
7
7
8
8
9
9
10
10
JACK
JACK
QUEEN
QUEEN
KING
KING
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Card
Color
Black
Red
Black
Red
Black
Red
Black
Red
Black
Red
Black
Red
Black
Red
Black
Red
Black
Red
Black
Red
Black
Red
Black
Red
Black
Red
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Last Name
Starting with
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
FALL 2015 STA 2023 PROJECT
© MUDUNURU, VENKATESWARA RAO
