3. What is the probability of selecting a plain M&M candy, given that the candy is orange? 4. Are the events "selecting a Type A M&M candy" and "selecting a blue M&M candy" independent? Explain why or why not. 5. Are the events "selecting a brown M&M candy" and "selecting an Type B M&M candy" mutually exclusive? Explain why or why not.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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●
●
Lab 4(b)-Probability
Part 1: Candy contingency table
Objective: In this lab, you will use M&M candies to create a contingency table and explore the concepts of
probability and independence.
●
.
Materials:
● Three different types of M&M bags. One must be plain. The other two you may select.
M&M types are peanut, almond etc.
Purchase M&M types which have an obviously different shape to ensure you are able to sort
them by type after they have been mixed.
The bags you purchase should, preferably, be a sharing size to ensure you have a sufficient
number of M&M's
o
O
O
-
Two bowls or container to hold the candies.
A large serving spoon
Six small cups to sort the candy
M&M Color
O or 6 paper plates to sort the candy
O or 6 napkins to sort the candy
The table below to record your data
Blue
Brown
Green
Orange
+
Red
Yellow
BBC
Totals
A Peanut
5
S
5
4
6
9
1
7
36
M&M Type
B Crispy
5
9
of 4 D
5
3
8
11
41
Plain
3
4
3
2
7
4
23
Totals
FAR
13
18
12
11
24
22
Note: Each row of the table represents the color of the M&M candy. Since those colors are fixed, they are filled in for
100
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Transcribed Image Text:pnkch/OneDrive/Desktop/SCHOOL/SPRING%202023/MATH-110-0377%20GONZALINAJEC/LAB%20... Q Hulu Login | Hulu Citizenship and Im... IRS Log In HBO Max T Read aloud 3 Q Search ● ● Lab 4(b)-Probability Part 1: Candy contingency table Objective: In this lab, you will use M&M candies to create a contingency table and explore the concepts of probability and independence. ● . Materials: ● Three different types of M&M bags. One must be plain. The other two you may select. M&M types are peanut, almond etc. Purchase M&M types which have an obviously different shape to ensure you are able to sort them by type after they have been mixed. The bags you purchase should, preferably, be a sharing size to ensure you have a sufficient number of M&M's o O O - Two bowls or container to hold the candies. A large serving spoon Six small cups to sort the candy M&M Color O or 6 paper plates to sort the candy O or 6 napkins to sort the candy The table below to record your data Blue Brown Green Orange + Red Yellow BBC Totals A Peanut 5 S 5 4 6 9 1 7 36 M&M Type B Crispy 5 9 of 4 D 5 3 8 11 41 Plain 3 4 3 2 7 4 23 Totals FAR 13 18 12 11 24 22 Note: Each row of the table represents the color of the M&M candy. Since those colors are fixed, they are filled in for 100 MyFTB | Taxpayer O... zoom DELL) W 7 P
ers/pnkch/OneDrive/Desktop/SCHOOL/SPRING%202023/MATH-110-0377%20GONZALINAJEC/LAB%20... Q
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+
3.
←
1. What is the probability of selecting a plain M&M candy?
P (plain M&M) = 23/100
= 0.23= 23%
3
Analysis:
Using the contingency table generated in Step 4 of the procedure, answer the following questions. You must
show all of your work. Round all probabilities to four decimal places..
of 4
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2. What is the probability of selecting a red M&M candy?
P (selecting red M&M) = 24/ 100
= 0.24 = 24%
What is the probability of selecting a plain M&M candy, given that the candy is orange?
S
4. Are the events "selecting a Type A M&M candy" and "selecting a blue M&M candy" independent? Explain
why or why not.
5. Are the events "selecting a brown M&M candy" and "selecting an Type B M&M candy" mutually
exclusive? Explain why or why not.
6. What is the probability of selecting a green M&M candy or an plain M&M candy?
7. What is the probability of selecting a Type A M&M candy, given that the candy is not yellow?
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Transcribed Image Text:ers/pnkch/OneDrive/Desktop/SCHOOL/SPRING%202023/MATH-110-0377%20GONZALINAJEC/LAB%20... Q HBO Max Hulu Login | Hulu Citizenship and Im... ey+ T Read aloud Q Search - + 3. ← 1. What is the probability of selecting a plain M&M candy? P (plain M&M) = 23/100 = 0.23= 23% 3 Analysis: Using the contingency table generated in Step 4 of the procedure, answer the following questions. You must show all of your work. Round all probabilities to four decimal places.. of 4 IRS Log In 2. What is the probability of selecting a red M&M candy? P (selecting red M&M) = 24/ 100 = 0.24 = 24% What is the probability of selecting a plain M&M candy, given that the candy is orange? S 4. Are the events "selecting a Type A M&M candy" and "selecting a blue M&M candy" independent? Explain why or why not. 5. Are the events "selecting a brown M&M candy" and "selecting an Type B M&M candy" mutually exclusive? Explain why or why not. 6. What is the probability of selecting a green M&M candy or an plain M&M candy? 7. What is the probability of selecting a Type A M&M candy, given that the candy is not yellow? MyFTB | Taxpayer O.... zoom DELL D W He S
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