Problem 2 At a large clothing store, 20% of all purchases are returned. A random sample of 12 purchases is selected. Let X represent the number of purchases that were returned. a) Use Excel to construct a probability distribution table for this situation. If necessary, round probability value in your table to 6 decimal places. b) Use your probability distribution table to answer the following questions. "Be sure to highlight the indicated values in your table. i. ii. iii. What is the probability that exactly 4 of the purchased items were returned? "Highlight in yellow the one value in your probability distribution table that answers this question. What is the probability that 5 or more of the purchased items were returned? "Highlight in green the values in your probability distribution that may be used to answer this question. Then, use an Excel formula to t right of your table to find the answer to this probability question, rounded to 4 decimal places What is the probability that less than 3 of the purchased items were returned? "Highlight in blue the values in your probability distribution that may be used to answer this question. Then, use an Excel formula to tr right of your table to find the answer to this probability question, rounded to 4 decimal places. c) Find the mean number of items were returned. *Type your answer to the right of your table on the Excel worksheet and do not round the result.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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e) Give the shape of the distribution. *You may type your response underneath the answer for part d.
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f) Would it be unusual for 6 or more of the purchased items to be returned? Why or why not? *Type your
answer to this question underneath the answer for part f, and be sure to give support for your response by including
an appropriate probability.
*Use a new worksheet within the same Excel file for Problem 3.
Problem 3 The survival rate for Emperor penguin eggs is 19%. There are 100 penguins in a waddle that lay an
egg this year. Let X represent the number of eggs that hatch and live.
a) Use Excel to construct a probability distribution table for this situation. If necessary, round probability values
in your table to 9 decimal places.
b) Use your probability distribution table to answer the following questions. "Be sure to highlight the indicated
a
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Transcribed Image Text:nomial Distribution Protected View Saved to this PC ✓ Search Layout References Mailings Review View Help the Internet can contain viruses. Unless you need to edit, it's safer to stay in Protected View. e) Give the shape of the distribution. *You may type your response underneath the answer for part d. Enable Editing f) Would it be unusual for 6 or more of the purchased items to be returned? Why or why not? *Type your answer to this question underneath the answer for part f, and be sure to give support for your response by including an appropriate probability. *Use a new worksheet within the same Excel file for Problem 3. Problem 3 The survival rate for Emperor penguin eggs is 19%. There are 100 penguins in a waddle that lay an egg this year. Let X represent the number of eggs that hatch and live. a) Use Excel to construct a probability distribution table for this situation. If necessary, round probability values in your table to 9 decimal places. b) Use your probability distribution table to answer the following questions. "Be sure to highlight the indicated a Focus
internet can contain viruses. Unless you need to edit, it's safer to stay in Protected View.
Problem 2 At a large clothing store, 20% of all purchases are returned. A random sample of 12 purchases is
selected. Let X represent the number of purchases that were returned.
-On
a) Use Excel to construct a probability distribution table for this situation. If necessary, round probability values
in your table to 6 decimal places.
b) Use your probability distribution table to answer the following questions. "Be sure to highlight the indicated
values in your table.
i. What is the probability that exactly 4 of the purchased items were returned? "Highlight in yellow the one
value in your probability distribution table that answers this question.
ii.
iii.
What is the probability that 5 or more of the purchased items were returned? *Highlight in green the
values in your probability distribution that may be used to answer this question. Then, use an Excel formula to the
right of your table to find the answer to this probability question, rounded to 4 decimal places.
What is the probability that less than 3 of the purchased items were returned? *Highlight in blue the
values in your probability distribution that may be used to answer this question. Then, use an Excel formula to the
right of your table to find the answer to this probability question, rounded to 4 decimal places.
c) Find the mean number of items were returned. *Type your answer to the right of your table on the Excel
worksheet and do not round the result.
Enable Editing
d) Find the standard deviation of the number of items returned. *Type your answer to the right of your table on the
Excel worksheet and round the result to the nearest hundredth.
h) Use Excel to construct a probability histogram to represent the binomial distribution graphically. *Be sure to
include a title with your graphical display, and set the gap width to 0% so the bars will touch. You may also want to
outline the bars on your graphical display.
Ei
15
H
99+
a
&
#3
hp
W
I
Focus
0
Transcribed Image Text:internet can contain viruses. Unless you need to edit, it's safer to stay in Protected View. Problem 2 At a large clothing store, 20% of all purchases are returned. A random sample of 12 purchases is selected. Let X represent the number of purchases that were returned. -On a) Use Excel to construct a probability distribution table for this situation. If necessary, round probability values in your table to 6 decimal places. b) Use your probability distribution table to answer the following questions. "Be sure to highlight the indicated values in your table. i. What is the probability that exactly 4 of the purchased items were returned? "Highlight in yellow the one value in your probability distribution table that answers this question. ii. iii. What is the probability that 5 or more of the purchased items were returned? *Highlight in green the values in your probability distribution that may be used to answer this question. Then, use an Excel formula to the right of your table to find the answer to this probability question, rounded to 4 decimal places. What is the probability that less than 3 of the purchased items were returned? *Highlight in blue the values in your probability distribution that may be used to answer this question. Then, use an Excel formula to the right of your table to find the answer to this probability question, rounded to 4 decimal places. c) Find the mean number of items were returned. *Type your answer to the right of your table on the Excel worksheet and do not round the result. Enable Editing d) Find the standard deviation of the number of items returned. *Type your answer to the right of your table on the Excel worksheet and round the result to the nearest hundredth. h) Use Excel to construct a probability histogram to represent the binomial distribution graphically. *Be sure to include a title with your graphical display, and set the gap width to 0% so the bars will touch. You may also want to outline the bars on your graphical display. Ei 15 H 99+ a & #3 hp W I Focus 0
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