Please answer all the question:

Question 1)

For Problems #1 through #5, consider the following context:Fatima, a pediatric dental hygienist, is reviewing the supplies in her cabinet at work before her patient load for the day begins. She notes that she has the following choices in quantities of flavors for fluoride treatments available to administer to her young patients:twelveare mint,nineare banana,sixare watermelon,fourare strawberry,threeare cherry, andtwoare bubblegum. Her patients start arriving for their appointments. She randomly chooses treatment flavors to suggest to her patients by reaching into the cabinet without noticing the flavor marking. Answer the following questions about the probabilities associated with this context. [COMMENTS & HINTS:Be sure to express all answers as fractions insimplifiedform.For example, if the answer is 48/60, record your simplified answer as4/5.]

#1: What is the chance she randomly selects a banana flavored fluoride treatment?

Question2)

For Problems #1 through #5, consider the following context: Fatima, a pediatric dental hygienist, is reviewing the supplies in her cabinet at work before her patient load for the day begins. She notes that she has the following choices in quantities of flavors for fluoride treatments available to administer to her young patients: twelve are mint, nine are banana, six are watermelon, four are strawberry, three are cherry, and two are bubblegum. Her patients start arriving for their appointments. She randomly chooses treatment flavors to suggest to her patients by reaching into the cabinet without noticing the flavor marking. Answer the following questions about the probabilities associated with this context. [COMMENTS & HINTS: Be sure to express all answers as fractions in simplified form. For example, if the answer is 48/60, record your simplified answer as 4/5.]

#2: What is the chance she does not randomly select a watermelon flavored fluoride treatment?

Question 3)

For Problems #1 through #5, consider the following context: Fatima, a pediatric dental hygienist, is reviewing the supplies in her cabinet at work before her patient load for the day begins. She notes that she has the following choices in quantities of flavors for fluoride treatments available to administer to her young patients: twelve are mint, nine are banana, six are watermelon, four are strawberry, three are cherry, and two are bubblegum. Her patients start arriving for their appointments. She randomly chooses treatment flavors to suggest to her patients by reaching into the cabinet without noticing the flavor marking. Answer the following questions about the probabilities associated with this context. [COMMENTS & HINTS: Be sure to express all answers as fractions in simplified form. For example, if the answer is 48/60, record your simplified answer as 4/5.]

#3: What is the probability she randomly selects either a mint flavored fluoride treatment or a cherry flavored fluoride treatment?

Question 4)

For Problems #1 through #5, consider the following context: Fatima, a pediatric dental hygienist, is reviewing the supplies in her cabinet at work before her patient load for the day begins. She notes that she has the following choices in quantities of flavors for fluoride treatments available to administer to her young patients: twelve are mint, nine are banana, six are watermelon, four are strawberry, three are cherry, and two are bubblegum. Her patients start arriving for their appointments. She randomly chooses treatment flavors to suggest to her patients by reaching into the cabinet without noticing the flavor marking. Answer the following questions about the probabilities associated with this context. [COMMENTS & HINTS: Be sure to express all answers as fractions in simplified form. For example, if the answer is 48/60, record your simplified answer as 4/5.]

#4: What is the probability she randomly selects neither a mint flavored fluoride treatment or a cherry flavored fluoride treatment?

Question5 )

For Problems #1 through #5, consider the following context: Fatima, a pediatric dental hygienist, is reviewing the supplies in her cabinet at work before her patient load for the day begins. She notes that she has the following choices in quantities of flavors for fluoride treatments available to administer to her young patients: twelve are mint, nine are banana, six are watermelon, four are strawberry, three are cherry, and two are bubblegum. Her patients start arriving for their appointments. She randomly chooses treatment flavors to suggest to her patients by reaching into the cabinet without noticing the flavor marking. Answer the following questions about the probabilities associated with this context. [COMMENTS & HINTS: Be sure to express all answers as fractions in simplified form. For example, if the answer is 48/60, record your simplified answer as 4/5.]

#5: What is the likelihood she randomly selects two watermelon flavored fluoride treatments?

Question 6)

For Problems #6 through #11, consider the following context: The management at Hudson Heights Hospital is reviewing a randomly selected two-way data table of non-medical employee work schedules, broken down by years of experience (e.g., novice, junior and senior levels) and shift worked (e.g., morning, afternoon, evening) based on start times. The manager randomly selects one or more employees represented in the table. Answer the following questions about probabilities associated with this context. [COMMENTS & HINTS: Complete the marginal distribution carefully. When reporting probababilities for these problems, express them rounded to the nearest whole percentage with percent symbol: #% or ##%]

	Morning	Afternoon	Evening	Subtotals
Novice	10	19	25
Junior	24	16	14
Senior	36	25	11
Subtotals

#6: How many employees are represented in the table, expressing the answer as a counting number?

Question 7)

For Problems #6 through #11, consider the following context: The management at Hudson Heights Hospital is reviewing a randomly selected two-way data table of non-medical employee work schedules, broken down by years of experience (e.g., novice, junior and senior levels) and shift worked (e.g., morning, afternoon, evening) based on start times. The manager randomly selects one or more employees represented in the table. Answer the following questions about probabilities associated with this context. [COMMENTS & HINTS: Complete the marginal distribution carefully. When reporting probababilities for these problems, express them rounded to the nearest whole percentage with percent symbol: #% or ##%]

	Morning	Afternoon	Evening	Subtotals
Novice	10	19	25
Junior	24	16	14
Senior	36	25	11
Subtotals

#7: Given that an employee selected at random worked the afternoon shift, what was the chance the employee was not a junior level employee?

Question 8)

For Problems #6 through #11, consider the following context: The management at Hudson Heights Hospital is reviewing a randomly selected two-way data table of non-medical employee work schedules, broken down by years of experience (e.g., novice, junior and senior levels) and shift worked (e.g., morning, afternoon, evening) based on start times. The manager randomly selects one or more employees represented in the table. Answer the following questions about probabilities associated with this context. [COMMENTS & HINTS: Complete the marginal distribution carefully. When reporting probababilities for these problems, express them rounded to the nearest whole percentage with percent symbol: #% or ##%]

	Morning	Afternoon	Evening	Subtotals
Novice	10	19	25
Junior	24	16	14
Senior	36	25	11
Subtotals

#8: If the employee selected at random was a novice level employee, then what was the chance the employee worked the morning shift?

Question 9)

For Problems #6 through #11, consider the following context: The management at Hudson Heights Hospital is reviewing a randomly selected two-way data table of non-medical employee work schedules, broken down by years of experience (e.g., novice, junior and senior levels) and shift worked (e.g., morning, afternoon, evening) based on start times. The manager randomly selects one or more employees represented in the table. Answer the following questions about probabilities associated with this context. [COMMENTS & HINTS: Complete the marginal distribution carefully. When reporting probababilities for these problems, express them rounded to the nearest whole percentage with percent symbol: #% or ##%]

	Morning	Afternoon	Evening	Subtotals
Novice	10	19	25
Junior	24	16	14
Senior	36	25	11
Subtotals

#9: What is the chance the employee selected at random was either a senior level employee or worked the afternoon shift?

Question 10)

For Problems #6 through #11, consider the following context: The management at Hudson Heights Hospital is reviewing a randomly selected two-way data table of non-medical employee work schedules, broken down by years of experience (e.g., novice, junior and senior levels) and shift worked (e.g., morning, afternoon, evening) based on start times. The manager randomly selects one or more employees represented in the table. Answer the following questions about probabilities associated with this context. [COMMENTS & HINTS: Complete the marginal distribution carefully. When reporting probababilities for these problems, express them rounded to the nearest whole percentage with percent symbol: #% or ##%]

	Morning	Afternoon	Evening	Subtotals
Novice	10	19	25
Junior	24	16	14
Senior	36	25	11
Subtotals

#10: What is the chance the employee selected at random was neither a senior level employee nor worked the afternoon shift?

Question 11)

For Problems #6 through #11, consider the following context: The management at Hudson Heights Hospital is reviewing a randomly selected two-way data table of non-medical employee work schedules, broken down by years of experience (e.g., novice, junior and senior levels) and shift worked (e.g., morning, afternoon, evening) based on start times. The manager randomly selects one or more employees represented in the table. Answer the following questions about probabilities associated with this context. [COMMENTS & HINTS: Complete the marginal distribution carefully. When reporting probababilities for these problems, express them rounded to the nearest whole percentage with percent symbol: #% or ##%]

	Morning	Afternoon	Evening	Subtotals
Novice	10	19	25
Junior	24	16	14
Senior	36	25	11
Subtotals

#11: What is the probability that two employees selected at random were novice level employees who worked the evening shift?