Problem 3 The survival rate for Emperor penguin eggs is 19%. There are 100 penguins in a waddle that lay a 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 values in your table. Fo

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i. What is the probability that exactly 25 eggs will hatch and live? "Highlight in yellow the one value in your
probability distribution table that answers this question.
ii.
iii.
What is the probability that at least 30 eggs will hatch and live? "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 no more than 20 eggs will hatch and live? "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 eggs expected to hatch and survive. 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 eggs expected to hatch and survive. *Type your answer to the
right of your table on the Excel worksheet and round the result to the nearest hundredth.
i) 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.
f) Would it be unusual for 13 or fewer eggs to hatch and survive? 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
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Transcribed Image Text:sign Layout References Mailings Review View Help rom the Internet can contain viruses. Unless you need to edit, it's safer to stay in Protected View. Predictions: On earch i. What is the probability that exactly 25 eggs will hatch and live? "Highlight in yellow the one value in your probability distribution table that answers this question. ii. iii. What is the probability that at least 30 eggs will hatch and live? "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 no more than 20 eggs will hatch and live? "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 eggs expected to hatch and survive. 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 eggs expected to hatch and survive. *Type your answer to the right of your table on the Excel worksheet and round the result to the nearest hundredth. i) 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. f) Would it be unusual for 13 or fewer eggs to hatch and survive? 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 $ O 8: I Enable Editing 15 % a & # hp 7 44 W Focus DE
Binomial Distribution Protected View Saved to this PC ✓
dictions On
.
ign Layout References Mailings Review View
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om the Internet can contain viruses. Unless you need to edit, it's safer to stay in Protected View.
ch
O Search
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e) Give the shape of the distribution. You may type your response underneath the answer for part d.
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
values in your table.
(99+
a
+
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144
W
f10
Focus
Transcribed Image Text:Binomial Distribution Protected View Saved to this PC ✓ dictions On . ign Layout References Mailings Review View Help om the Internet can contain viruses. Unless you need to edit, it's safer to stay in Protected View. ch O Search Enable Editing e) Give the shape of the distribution. You may type your response underneath the answer for part d. 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 values in your table. (99+ a + fg O 144 W f10 Focus
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