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. Beverage choice Juice Milk Pizza 39 11 J: The student chooses juice. M: The student chooses milk. Cold-cut sub P: The student chooses pizza. CC: The student chooses a cold-cut sub. CT: The student chooses chicken tenders. S: The student chooses salad. 25 Food choice 24 Chicken tenders 26 25 Salad 9 41 7. Compare P(JP) and P(PJ). Determine if J and P are independent. Show the numerical values of all the probabilities used in your answers. 8. Compare P(JCT) and P(CT|J). Determine if J and CT are independent. Show the numerical values of all the probabilities used in your answers.

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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.
Beverage choice
Juice
Milk
Pizza
39
11
Cold-cut sub
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.
25
Food choice
24
Chicken tenders
26
25
Salad
9
41
7. Compare P(JP) and P(PJ). Determine if J and P are independent. Show the numerical values
of all the probabilities used in your answers.
8. Compare P(JCT) and P(CT|J). Determine if J and CT are independent. Show the numerical
values of all the probabilities used in your answers.
Transcribed Image Text: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. Beverage choice Juice Milk Pizza 39 11 Cold-cut sub 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. 25 Food choice 24 Chicken tenders 26 25 Salad 9 41 7. Compare P(JP) and P(PJ). Determine if J and P are independent. Show the numerical values of all the probabilities used in your answers. 8. Compare P(JCT) and P(CT|J). Determine if J and CT are independent. Show the numerical values of all the probabilities used in your answers.
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.
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.
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