Problem 4 A surgeon regularly performs a certain difficult operation. The probability of success for any one such operation is 73%. Fifty of these operations are scheduled. Let X represent the number of successful operations. 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 values in your table. i. ii. iii. E What is the probability that exactly 40 of the operations are successful? *Highlight in yellow the one value in your probability distribution table that answers this question. What is the probability that more than 40 of the operations are successful? *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 fewer than 40 of the operations are successful? *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 number of operations that are expected to be successful. In other words, find the mean. *Type your answer to the right of your table on the Excel worksheet and do not round the result. d) Find the standard deviation of the number of successful operations. *Type your answer to the right of your table on the Excel worksheet and round the result to the nearest hundredth j) 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 O Et 99+ a W Focus

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ayout References. Mailings Review View Help
ternet can contain viruses. Unless you need to edit, it's safer to stay in Protected View.
Problem 4 A surgeon regularly performs a certain difficult operation. The probability of success for any one
such operation is 73%. Fifty of these operations are scheduled. Let X represent the number of successful
operations.
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
values in your table.
i.
ii.
What is the probability that exactly 40 of the operations are successful? *Highlight in yellow the one value
in your probability distribution table that answers this question.
What is the probability that more than 40 of the operations are successful? *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 fewer than 40 of the operations are successful? *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 number of operations that are expected to be successful. In other words, find the mean. "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 successful operations. *Type your answer to the right of your
table on the Excel worksheet and round the result to the nearest hundredth
j) 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
O
E
15
99+
a
*
hp
+
W
Focus
?
Transcribed Image Text:ayout References. Mailings Review View Help ternet can contain viruses. Unless you need to edit, it's safer to stay in Protected View. Problem 4 A surgeon regularly performs a certain difficult operation. The probability of success for any one such operation is 73%. Fifty of these operations are scheduled. Let X represent the number of successful operations. 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 values in your table. i. ii. What is the probability that exactly 40 of the operations are successful? *Highlight in yellow the one value in your probability distribution table that answers this question. What is the probability that more than 40 of the operations are successful? *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 fewer than 40 of the operations are successful? *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 number of operations that are expected to be successful. In other words, find the mean. "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 successful operations. *Type your answer to the right of your table on the Excel worksheet and round the result to the nearest hundredth j) 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 O E 15 99+ a * hp + W Focus ?
Binomial Distribution Protected View Saved to this PC V
ons: On
gn Layout References Mailings Review View
Help
m the Internet can contain viruses. Unless you need to edit, it's safer to stay in Protected View.
.
Enable Editing
your table to find the answer to this probability question, rounded to 4 decimal places.
c) Find the number of operations that are expected to be successful. In other words, find the mean. Type
your answer to the right of your table on the Excel worksheet and do not round the result
d) Find the standard deviation of the number of successful operations. *Type your answer to the right of your
table on the Excel worksheet and round the result to the nearest hundredth.
Search
j) 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.
e) Give the shape of the distribution. *You may type your response underneath the answer for part d.
10
f) Would it be unusual for all 50 of the operations to be successful? 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
81
fs
99+
4-
a
97
O
W
Focus 00
Transcribed Image Text:Binomial Distribution Protected View Saved to this PC V ons: On gn Layout References Mailings Review View Help m the Internet can contain viruses. Unless you need to edit, it's safer to stay in Protected View. . Enable Editing your table to find the answer to this probability question, rounded to 4 decimal places. c) Find the number of operations that are expected to be successful. In other words, find the mean. Type your answer to the right of your table on the Excel worksheet and do not round the result d) Find the standard deviation of the number of successful operations. *Type your answer to the right of your table on the Excel worksheet and round the result to the nearest hundredth. Search j) 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. e) Give the shape of the distribution. *You may type your response underneath the answer for part d. 10 f) Would it be unusual for all 50 of the operations to be successful? 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 81 fs 99+ 4- a 97 O W Focus 00
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