Please answer all the questions and explain

Question 1)

For Items #1through #10, consider the following context,reusingthe details throughout these items.

Sale Mart Super Centers have traditionally carried only special holiday flavors of their house brand ice cream:pumpkin pie (PP),eggnog (EN) and peppermint stick (PS).The retail chain sells these flavors of ice cream only in pints and quarts. Some stats interns surveyed a random sample of customers and found which of these three flavors and sizes these customer preferred the most. The data is represented in this partially-completed two-way or bivariate table.

	Ice Cream Flavors
PP	EN	PS	Subtotals:
Sizes	Pints	25	20	40	85
Quarts	60	25	30	???
Subtotals:	85	45	??	????

Question:

#1: How many of the customers surveyed preferred the peppermint stick (PP)flavor?

Question 2)

For Items #1through #10, consider the following context,reusingthe details throughout these items.

Sale Mart Super Centers have traditionally carried only special holiday flavors of their house brand ice cream:pumpkin pie (PP),eggnog (EN) and peppermint stick (PS).The retail chain sells these flavors of ice cream only in pints and quarts. Some stats interns surveyed a random sample of customers and found which of these three flavors and sizes these customer preferred the most. The data is represented in this partially-completed two-way or bivariate table.

	Ice Cream Flavors
PP	EN	PS	Subtotals:
Sizes	Pints	25	20	40	85
Quarts	60	25	30	???
Subtotals:	85	45	??	????

Question:

#2: How many of the customers surveyed preferred quarts of ice cream?

Question 3)

For Items #1through #10, consider the following context,reusingthe details throughout these items.

Sale Mart Super Centers have traditionally carried only special holiday flavors of their house brand ice cream:pumpkin pie (PP),eggnog (EN) and peppermint stick (PS).The retail chain sells these flavors of ice cream only in pints and quarts. Some stats interns surveyed a random sample of customers and found which of these three flavors and sizes these customer preferred the most. The data is represented in this partially-completed two-way or bivariate table.

	Ice Cream Flavors
PP	EN	PS	Subtotals:
Sizes	Pints	25	20	40	85
Quarts	60	25	30	???
Subtotals:	85	45	??	????

Question:

#3: What was the total number of customers surveyed by the interns?

Question 4)

For Items #1through #10, consider the following context,reusingthe details throughout these items.

Sale Mart Super Centers have traditionally carried only special holiday flavors of their house brand ice cream:pumpkin pie (PP),eggnog (EN) and peppermint stick (PS).The retail chain sells these flavors of ice cream only in pints and quarts. Some stats interns surveyed a random sample of customers and found which of these three flavors and sizes these customer preferred the most. The data is represented in this partially-completed two-way or bivariate table.

	Ice Cream Flavors
PP	EN	PS	Subtotals:
Sizes	Pints	25	20	40	85
Quarts	60	25	30	???
Subtotals:	85	45	??	????

Question:

#4: What was the likelihood acustomer did not prefer peppermintstick ice cream?

Question 5)

For Items #1through #10, consider the following context,reusing the details throughout these items.

Sale Mart Super Centers have traditionally carried only special holiday flavors of their house brand ice cream:pumpkin pie (PP),eggnog (EN) and peppermint stick (PS).The retail chain sells these flavors of ice cream only in pints and quarts. Some stats interns surveyed a random sample of customers and found which of these three flavors and sizes these customer preferred the most. The data is represented in this partially-completed two-way or bivariate table.

	Ice Cream Flavors
PP	EN	PS	Subtotals:
Sizes	Pints	25	20	40	85
Quarts	60	25	30	???
Subtotals:	85	45	??	????

Question:

#5: What was the chance a customer surveyed preferred either pumpkin pie ice cream or buying the ice cream in pints?

Question 6)

For Items #1through #10, consider the following context,reusing the details throughout these items.

Sale Mart Super Centers have traditionally carried only special holiday flavors of their house brand ice cream:pumpkin pie (PP),eggnog (EN) and peppermint stick (PS).The retail chain sells these flavors of ice cream only in pints and quarts. Some stats interns surveyed a random sample of customers and found which of these three flavors and sizes these customer preferred the most. The data is represented in this partially-completed two-way or bivariate table.

	Ice Cream Flavors
PP	EN	PS	Subtotals:
Sizes	Pints	25	20	40	85
Quarts	60	25	30	???
Subtotals:	85	45	??	????

Question:

#6: What was the chance a customer surveyed preferred neither pumpkin pie ice cream nor buying the ice cream in pints?

Question 7)

For Items #1through #10, consider the following context,reusing the details throughout these items.

Sale Mart Super Centers have traditionally carried only special holiday flavors of their house brand ice cream:pumpkin pie (PP),eggnog (EN) and peppermint stick (PS).The retail chain sells these flavors of ice cream only in pints and quarts. Some stats interns surveyed a random sample of customers and found which of these three flavors and sizes these customer preferred the most. The data is represented in this partially-completed two-way or bivariate table.

	Ice Cream Flavors
PP	EN	PS	Subtotals:
Sizes	Pints	25	20	40	85
Quarts	60	25	30	???
Subtotals:	85	45	??	????

Question:

#7: Given that a customer preferred eggnog ice cream, what is the probability that the customer preferred purchasing ice cream inquarts?

Question 8)

For Items #1through #10, consider the following context,reusing the details throughout these items.

Sale Mart Super Centers have traditionally carried only special holiday flavors of their house brand ice cream:pumpkin pie (PP),eggnog (EN) and peppermint stick (PS).The retail chain sells these flavors of ice cream only in pints and quarts. Some stats interns surveyed a random sample of customers and found which of these three flavors and sizes these customer preferred the most. The data is represented in this partially-completed two-way or bivariate table.

	Ice Cream Flavors
PP	EN	PS	Subtotals:
Sizes	Pints	25	20	40	85
Quarts	60	25	30	???
Subtotals:	85	45	??	????

Question:

#8: Given that a customer preferred purchasing ice cream in quarts, what is the probability that the customer preferred eggnog ice cream?

Question 9)

For Items #1through #10, consider the following context,reusing the details throughout these items.

Sale Mart Super Centers have traditionally carried only special holiday flavors of their house brand ice cream:pumpkin pie (PP),eggnog (EN) and peppermint stick (PS).The retail chain sells these flavors of ice cream only in pints and quarts. Some stats interns surveyed a random sample of customers and found which of these three flavors and sizes these customer preferred the most. The data is represented in this partially-completed two-way or bivariate table.

	Ice Cream Flavors
PP	EN	PS	Subtotals:
Sizes	Pints	25	20	40	85
Quarts	60	25	30	???
Subtotals:	85	45	??	????

Question:

#9: Whatis the chance that two patrons both selected pumpkinpie ice cream sold in quarts?

Question 10)

For Items #1through #10, consider the following context,reusing the details throughout these items.

Sale Mart Super Centers have traditionally carried only special holiday flavors of their house brand ice cream:pumpkin pie (PP),eggnog (EN) and peppermint stick (PS).The retail chain sells these flavors of ice cream only in pints and quarts. Some stats interns surveyed a random sample of customers and found which of these three flavors and sizes these customer preferred the most. The data is represented in this partially-completed two-way or bivariate table.

	Ice Cream Flavors
PP	EN	PS	Subtotals:
Sizes	Pints	25	20	40	85
Quarts	60	25	30	???
Subtotals:	85	45	??	????

Question:

#10: FALSEorTRUE The compound event of selectingtwo customers without replacement who both prefer quarts of eggnog ice cream is an example of independent events.

a)true

b)false

Question 11)

For Problems #11 through #15, consider the following discrete probability distribution table representing the likelihood,P(x), that a patient with a new orthodontic appliance, likes braces or retainers, must return a certain number of times, x, within the first two months for follow-up visits, for routine and/or emergency office visits for adjustments and maintenance. [COMMENTS & HINTS: One probability value has been omitted from the table. Determine the missing value, realizing that the table represents a probability distribution. What is the sum of all probabilities in any probability distribution? Use that fact to your advantage.]

x	0	1	2	3	4
P(x)	???	32%	18%	16%	14%

Question:

#11: What is the chance the patient does not return at all during the first two months?

Question 12)

For Problems #11 through #15, consider the following discrete probability distribution table representing the likelihood,P(x), that a patient with a new orthodontic appliance, likes braces or retainers, must return a certain number of times, x, within the first two months for follow-up visits, for routine and/or emergency office visits for adjustments and maintenance. [COMMENTS & HINTS: One probability value has been omitted from the table. Determine the missing value, realizing that the table represents a probability distribution. What is the sum of all probabilities in any probability distribution? Use that fact to your advantage.]

x	0	1	2	3	4
P(x)	???	32%	18%	16%	14%

Question:

#12: What is the likelihood a patient does not return four times?

Question 13)

For Problems #11 through #15, consider the following discrete probability distribution table representing the likelihood,P(x), that a patient with a new orthodontic appliance, likes braces or retainers, must return a certain number of times, x, within the first two months for follow-up visits, for routine and/or emergency office visits for adjustments and maintenance. [COMMENTS & HINTS: One probability value has been omitted from the table. Determine the missing value, realizing that the table represents a probability distribution. What is the sum of all probabilities in any probability distribution? Use that fact to your advantage.]

x	0	1	2	3	4
P(x)	???	32%	18%	16%	14%

Question:

#13: What is the likelihood a patient returned more than one time?

Question 14)

For Problems #11 through #15, consider the following discrete probability distribution table representing the likelihood,P(x), that a patient with a new orthodontic appliance, likes braces or retainers, must return a certain number of times, x, within the first two months for follow-up visits, for routine and/or emergency office visits for adjustments and maintenance. [COMMENTS & HINTS: One probability value has been omitted from the table. Determine the missing value, realizing that the table represents a probability distribution. What is the sum of all probabilities in any probability distribution? Use that fact to your advantage.]

x	0	1	2	3	4
P(x)	???	32%	18%	16%	14%

Question:

#14: What is the expected number of times a patient returns during the two month period?Report the (terminating decimal)answer withoutrounding.

Question 15)

For Problems #11 through #15, consider the following discrete probability distribution table representing the likelihood,P(x), that a patient with a new orthodontic appliance, likes braces or retainers, must return a certain number of times,x, within the first two months for follow-up visits, for routine and/or emergency office visits for adjustments and maintenance. [COMMENTS & HINTS: One probability value has been omitted from the table. Determine the missing value, realizing that the table represents a probability distribution. What is the sum ofallprobabilities inanyprobability distribution? Use that fact to your advantage.]

x	0	1	2	3	4
P(x)	???	32%	18%	16%	14%

Question:

#15: FALSEor TRUEThe shape of this discrete probability distribution can best be described as negatively skewed.

a)true

b)false