Need all of these questions answered with work proof for my hw have no clue so pls do all of them Name:UNIT 4 • APPLICATIONS OF PROBABILITYLesson 2: Conditional ProbabilityDate:A cafeteria manager recorded the choices of 200 students who each chose one food item and onebeverage. The table shows the data. Use the table and the events that follow to complete problems 7-10.Food choiceBeverage choicePizzaCold-cut subChicken tendersSaladJuice392526Milk11242541J: The student chooses juice.M: The student chooses milk.P: The student chooses pizza.CC: The student chooses a cold-cut sub.CT: The student chooses chicken tenders.S: The student chooses salad.7. Compare P(J P) and P(P|). Determine if J and P are independent. Show the numerical valuesof all the probabilities used in your answers.8. Compare PJ CT) and P(CT). Determine if J and CT are independent. Show the numericalvalues of all the probabilities used in your answers.9. Compare P(M|CC) and P(CC|M). Determine if M and CC are independent. Show thenumerical values of all the probabilities used in your answers.10. Compare P(M|S) and P(S M). Determine if M and S are independent. Show the numericalvalues of all the probabilities used in your answers.O Halch EducationU4-124CCSS IP Math Teacher ResourceQ +Page4.1.1 Problems #1-5 Name:UNIT 4 APPLICATIONS OF PROBABILITYLesson 2: Conditional ProbabilityDate:Eastern High School's highest academic award category is Highest Honors. The next highest award isAcademic Excellence. The table shows data about the awards by grade. Use the table and the eventsthat follow to complete problems 3–6.Award categoryGradeHighest HonorsAcademic Excellence103644113243123040TEN: A recognized student is in the tenth grade.TWELVE: A recognized student is in the twelfth grade.HH: A recognized student received the Highest Honors award.AE: A recognized student received the Academic Excellence award.3. Compare P(TEN|HH) and P(HH TEN). Interpret what your answer means.4. Are TEN and HH independent? Explain your reasoning and what your answer means.5. Compare P(TWELVE|AE) and P(AE|TWELVE). Interpret what your answer means.6. Are TWELVE and AE independent? Explain your reasoning and interpret what your answer means.continued04-123CCSS P Math Teacher Resource422OWalch Education- Q +Date:Page2 / 3Name:1)

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Eastern High School's highest academic award category is Highest Honors. The next highest award is Academic Excellence. The table shows data about the awards by grade. Use the table and the events that follow to complete problems 3-6. Award category Grade Highest Honors Academic Excellence 10 36 44 11 32 43 12 30 40 TEN: A recognized student is in the tenth grade. TWELVE: A recognized student is in the twelfth grade. HH: A recognized student received the Highest Honors award. AE: A recognized student received the Academic Excellence award. 3. Compare P(TEN|HH) and P(HH|TEN). Interpret what your answer means. 4. Are TEN and HH independent? Explain your reasoning and what your answer means. 5. Compare P(TWELVE|AE) and P(AE|TWELVE). Interpret what your answer means. 6. Are TWELVE and AE independent? Explain your reasoning and interpret what your answer means.

Eastern High School's highest academic award category is Highest Honors. The next highest award is Academic Excellence. The table shows data about the awards by grade. Use the table and the events that follow to complete problems 3-6. Award category Grade Highest Honors Academic Excellence 10 36 44 11 32 43 12 30 40 TEN: A recognized student is in the tenth grade. TWELVE: A recognized student is in the twelfth grade. HH: A recognized student received the Highest Honors award. AE: A recognized student received the Academic Excellence award. 3. Compare P(TEN|HH) and P(HH|TEN). Interpret what your answer means. 4. Are TEN and HH independent? Explain your reasoning and what your answer means. 5. Compare P(TWELVE|AE) and P(AE|TWELVE). Interpret what your answer means. 6. Are TWELVE and AE independent? Explain your reasoning and interpret what your answer means.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Need all of these questions answered with work proof for my hw have no clue so pls do all of them

Name:
UNIT 4 • APPLICATIONS OF PROBABILITY
Lesson 2: Conditional Probability
Date:
A cafeteria manager recorded the choices of 200 students who each chose one food item and one
beverage. The table shows the data. Use the table and the events that follow to complete problems 7-10.
Food choice
Beverage choice
Pizza
Cold-cut sub
Chicken tenders
Salad
Juice
39
25
26
Milk
11
24
25
41
J: The student chooses juice.
M: The student chooses milk.
P: The student chooses pizza.
CC: The student chooses a cold-cut sub.
CT: The student chooses chicken tenders.
S: The student chooses salad.
7. Compare P(J P) and P(P|). Determine if J and P are independent. Show the numerical values
of all the probabilities used in your answers.
8. Compare PJ CT) and P(CT). Determine if J and CT are independent. Show the numerical
values of all the probabilities used in your answers.
9. Compare P(M|CC) and P(CC|M). Determine if M and CC are independent. Show the
numerical values of all the probabilities used in your answers.
10. Compare P(M|S) and P(S M). Determine if M and S are independent. Show the numerical
values of all the probabilities used in your answers.
O Halch Education
U4-124
CCSS IP Math Teacher Resource
Q +
Page
4.1.1 Problems #1-5

Name:
UNIT 4 APPLICATIONS OF PROBABILITY
Lesson 2: Conditional Probability
Date:
Eastern High School's highest academic award category is Highest Honors. The next highest award is
Academic Excellence. The table shows data about the awards by grade. Use the table and the events
that follow to complete problems 3–6.
Award category
Grade
Highest Honors
Academic Excellence
10
36
44
11
32
43
12
30
40
TEN: A recognized student is in the tenth grade.
TWELVE: A recognized student is in the twelfth grade.
HH: A recognized student received the Highest Honors award.
AE: A recognized student received the Academic Excellence award.
3. Compare P(TEN|HH) and P(HH TEN). Interpret what your answer means.
4. Are TEN and HH independent? Explain your reasoning and what your answer means.
5. Compare P(TWELVE|AE) and P(AE|TWELVE). Interpret what your answer means.
6. Are TWELVE and AE independent? Explain your reasoning and interpret what your answer means.
continued
04-123
CCSS P Math Teacher Resource
422
OWalch Education
- Q +
Date:
Page
2 / 3
Name:
1)

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