Refer to these values from the previous step. N = 13, M = 7, n = 6, k = 5, NM = 6, n - k = 1 Substitute these values into the hypergeometric probability formula, or use technology. Round your answer to four decimal places. CMC-k N-M P(x = k) = P(x = 5) = c57C₁6 13 N Therefore, the probability of selecting five brown and one red M&Ms from a candy dish containing seven brown and six red M&Ms is
Refer to these values from the previous step. N = 13, M = 7, n = 6, k = 5, NM = 6, n - k = 1 Substitute these values into the hypergeometric probability formula, or use technology. Round your answer to four decimal places. CMC-k N-M P(x = k) = P(x = 5) = c57C₁6 13 N Therefore, the probability of selecting five brown and one red M&Ms from a candy dish containing seven brown and six red M&Ms is
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Step 5
![Step 4
Using the values we have previously determined, N = 13, M = 7, n = 6, and k = 5. The remaining values needed for the formula are N - M and n-
k.
Find N - M.
NM 13 - 7
=
Find n - k.
n-k= 6-5
=
Step 5
Refer to these values from the previous step.
P(x = k)
N = 13, M = 7, n = 6, k = 5, N - M = 6, n - k = 1
Substitute these values into the hypergeometric probability formula, or use technology. Round your answer to four decimal places.
N - M
CKMC
P(x = 5)
=
=
=
6
1
C57C₁6
13
C6²
'n-k
N
C
Therefore, the probability of selecting five brown and one red M&Ms from a candy dish containing seven brown and six red M&Ms is](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff0fdd9be-9990-44a9-8005-60989cbb2f12%2F5d2e925e-aefd-4639-b1e1-ad3221bee05f%2Fapg5kea_processed.png&w=3840&q=75)
Transcribed Image Text:Step 4
Using the values we have previously determined, N = 13, M = 7, n = 6, and k = 5. The remaining values needed for the formula are N - M and n-
k.
Find N - M.
NM 13 - 7
=
Find n - k.
n-k= 6-5
=
Step 5
Refer to these values from the previous step.
P(x = k)
N = 13, M = 7, n = 6, k = 5, N - M = 6, n - k = 1
Substitute these values into the hypergeometric probability formula, or use technology. Round your answer to four decimal places.
N - M
CKMC
P(x = 5)
=
=
=
6
1
C57C₁6
13
C6²
'n-k
N
C
Therefore, the probability of selecting five brown and one red M&Ms from a candy dish containing seven brown and six red M&Ms is
![Tutorial Exercise
A candy dish contains seven brown and six red M&Ms. A child selects six M&Ms without checking the colors.
What is the probability that there are five brown and one red M&Ms in the selection?
Step 1
Begin by confirming that the hypergeometric distribution is appropriate for this sample. We check that ≥ 0.05, where n = 6 is the number of M&Ms being selected and N = 13 is the total number of M&Ms in the bowl. (Round your answ
two decimal places.)
N
6
13
n
N
= 0.46
n
The ratio is
N
0.46
is greater than 0.05, so we can
Step 2
Recall that for a hypergeometric distribution, the population contains M successes and N
P(x = k) =
Given a total of seven brown and six red M&Ms in the dish, the total number of M&Ms is N = 13
CKMCn-k
C₂
can use the hypergeometric probability distribution.
Step 3
Refer to the formula for the probability of exactly k successes in a random sample of size n below.
N - M
N
-
Thus, in the sample of size n = 6
M failures. Consider drawing a brown M&M to be a success and a red M&M to be a failure.
I
With seven brown M&Ms in a bowl of thirteen M&Ms, we have already determined M = 7 and N = 13. The remaining variables are k and n. We are told that six M&Ms are drawn, and we are calculating the probability of exactly five brown
M&Ms, or five successes, from that sample of six.
13 and the total successes (or brown M&Ms) is M =
the number of successes, or brown M&Ms, is k =
5](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff0fdd9be-9990-44a9-8005-60989cbb2f12%2F5d2e925e-aefd-4639-b1e1-ad3221bee05f%2Fxp3qp1_processed.png&w=3840&q=75)
Transcribed Image Text:Tutorial Exercise
A candy dish contains seven brown and six red M&Ms. A child selects six M&Ms without checking the colors.
What is the probability that there are five brown and one red M&Ms in the selection?
Step 1
Begin by confirming that the hypergeometric distribution is appropriate for this sample. We check that ≥ 0.05, where n = 6 is the number of M&Ms being selected and N = 13 is the total number of M&Ms in the bowl. (Round your answ
two decimal places.)
N
6
13
n
N
= 0.46
n
The ratio is
N
0.46
is greater than 0.05, so we can
Step 2
Recall that for a hypergeometric distribution, the population contains M successes and N
P(x = k) =
Given a total of seven brown and six red M&Ms in the dish, the total number of M&Ms is N = 13
CKMCn-k
C₂
can use the hypergeometric probability distribution.
Step 3
Refer to the formula for the probability of exactly k successes in a random sample of size n below.
N - M
N
-
Thus, in the sample of size n = 6
M failures. Consider drawing a brown M&M to be a success and a red M&M to be a failure.
I
With seven brown M&Ms in a bowl of thirteen M&Ms, we have already determined M = 7 and N = 13. The remaining variables are k and n. We are told that six M&Ms are drawn, and we are calculating the probability of exactly five brown
M&Ms, or five successes, from that sample of six.
13 and the total successes (or brown M&Ms) is M =
the number of successes, or brown M&Ms, is k =
5
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
![Elementary Statistics: Picturing the World (7th E…](https://www.bartleby.com/isbn_cover_images/9780134683416/9780134683416_smallCoverImage.gif)
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
![The Basic Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319042578/9781319042578_smallCoverImage.gif)
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
![Introduction to the Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319013387/9781319013387_smallCoverImage.gif)
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman