28) Suppose that you are shopping for a package of M&M Candies at a convenience store. In the package of M&M's you are purchasing, there are numerous different colored M&M's. From information from the company, it is known that about 30% of M&M's produced are red while about 70% are other colors. Suppose these M&M's are sold in a package of 12. What is the probability of having EXACTLY 5 to 7 RED M&M's in the package of 8 that you just purchased? (Answer to 4 decimal places using the table below). n X 12 p P(X=x) P(X<=X) 0 0.013841 0.013841 1 0.071184 0.085025 2 0.16779 0.252815 3 0.2397 0.492516 4 0.23114 0.723655 5 0.158496 0.882151 6 0.079248 0.961399 7 0.029111 0.990511 8 0.007798 0.998308 9 0.001485 0.999794 10 0.000191 0.999985 11 1.49E-05 0.999999 12 5.31E-07 1 0.3 ģ

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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28)
Suppose that you are shopping for a package of M&M Candies at a convenience store. In the
package of M&M's you are purchasing, there are numerous different colored M&M's. From
information from the company, it is known that about 30% of M&M's produced are red while about
70% are other colors. Suppose these M&M's are sold in a package of 12.
What is the probability of having EXACTLY 5 to 7 RED M&M's in the package of 8 that you just
purchased? (Answer to 4 decimal places using the table below).
n
X
12 p
P(X=x)
P(X<=x)
0.013841
0.013841
0.071184
0.085025
0.16779 0.252815
0.2397
0.492516
0.23114
0.723655
0.158496 0.882151
0.961399
0
1
2
3
4
5
6 0.079248
7 0.029111 0.990511
8 0.007798
0.998308
9 0.001485 0.999794
10 0.000191 0.999985
11 1.49E-05 0.999999
12
5.31E-07
1
0.3
6
Transcribed Image Text:28) Suppose that you are shopping for a package of M&M Candies at a convenience store. In the package of M&M's you are purchasing, there are numerous different colored M&M's. From information from the company, it is known that about 30% of M&M's produced are red while about 70% are other colors. Suppose these M&M's are sold in a package of 12. What is the probability of having EXACTLY 5 to 7 RED M&M's in the package of 8 that you just purchased? (Answer to 4 decimal places using the table below). n X 12 p P(X=x) P(X<=x) 0.013841 0.013841 0.071184 0.085025 0.16779 0.252815 0.2397 0.492516 0.23114 0.723655 0.158496 0.882151 0.961399 0 1 2 3 4 5 6 0.079248 7 0.029111 0.990511 8 0.007798 0.998308 9 0.001485 0.999794 10 0.000191 0.999985 11 1.49E-05 0.999999 12 5.31E-07 1 0.3 6
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