According to Masterfoods, the company that manufactures M&M's, 12% of peanut M&M's are brown, 15% are yellow, 12% are red, 23% are blue, 23% are orange and 15% are green. You randomly select peanut M&M's from an extra-large bag looking for a orange candy. (Round all probabilities below to four decimal places; i.e. your answer should look like 0.1234, not 0.1234444 or 12.34%.) Compute the probability that the first orange candy is the sixth M&M selected.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question
According to Masterfoods, the company that manufactures M&M's, 12% of peanut M&M's are
brown, 15% are yellow, 12% are red, 23% are blue, 23% are orange and 15% are green. You
randomly select peanut M&M's from an extra-large bag looking for a orange candy. (Round all
probabilities below to four decimal places; i.e. your answer should look like 0.1234, not 0.1234444
or 12.34%.)
Compute the probability that the first orange candy is the sixth M&M selected.
Compute the probability that the first orange candy is the sixth or seventh M&M selected.
Compute the probability that the first orange candy is among the first six M&M's selected.
If every student in a large Statistics class selects peanut M&M's at random until they get a orange
candy, on average how many M&M's will the students need to select? (Round your answer to two
decimal places.)
orange M&M's
Transcribed Image Text:According to Masterfoods, the company that manufactures M&M's, 12% of peanut M&M's are brown, 15% are yellow, 12% are red, 23% are blue, 23% are orange and 15% are green. You randomly select peanut M&M's from an extra-large bag looking for a orange candy. (Round all probabilities below to four decimal places; i.e. your answer should look like 0.1234, not 0.1234444 or 12.34%.) Compute the probability that the first orange candy is the sixth M&M selected. Compute the probability that the first orange candy is the sixth or seventh M&M selected. Compute the probability that the first orange candy is among the first six M&M's selected. If every student in a large Statistics class selects peanut M&M's at random until they get a orange candy, on average how many M&M's will the students need to select? (Round your answer to two decimal places.) orange M&M's
Expert Solution
Step 1

Given Information:

12% are brown, 15% are yellow, 12% are red, 23% are blue, 23% are orange, and 15% are green.

You randomly select peanut M&M's from the extra-large bag looking for a orange candy.

(a) To compute the probability that the first orange candy is the sixth M&M selected:

We are using geometric distribution.

Probability of selecting an orange candy is p=0.23

Probability of not selecting an orange candy is q=1-p=1-0.23=0.77

Formula:

PX=x=p1-pk-1

Required probability is obtained as follows:

P6=0.230.776-1=0.230.775=0.062256035610.0623

Thus, the probability that the first orange candy is the sixth M&M selected is 0.0623

 

 

 

 

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Discrete Probability Distributions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
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…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
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
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman