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 Chicken tenders Salad Pizza Cold-cut sub Juice 25 26 39 Milk 11 24 25 41

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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
U4-123
CCSS IP Math Teacher Resource
O Walch Education
4.22
Name:
Date:
UNIT 4 • APPLICATIONS OF PROBABILITY
Lesson 2: Conditional Probability
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
Chicken tenders
Pizza
Cold-cut sub
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|J). 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|J). Determine if / 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
answers
Transcribed Image Text: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 U4-123 CCSS IP Math Teacher Resource O Walch Education 4.22 Name: Date: UNIT 4 • APPLICATIONS OF PROBABILITY Lesson 2: Conditional Probability 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 Chicken tenders Pizza Cold-cut sub 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|J). 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|J). Determine if / 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 answers
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