Question

The proportion of brown M&M’s in a milk chocolate packet is approximately 14% (Madison, 2013). Suppose a package of M&M’s typically contains 52 M&M’s. a.) State the random variable. b.) Argue that this is a binomial experiment Find the probability that c.) Six M&M’s are brown. Twenty-Five M&M’s are brown. e.) All of the M&M’s are brown. f.) Would it be unusual for a package to have only brown M&M’s? If this were to happen, what would you think is the reason?

Answer #1

(a) Random variable = x = number of brown M&M's in a milk cholate packet

(b) This is a Binomial Experiment because:

(i) n = Total number of trials = 52

p = Probability of success in a single trial = p = 0.14

(iii) The trials are independent

(c)

(i) n = 52

p = 0.14

q = 1 - p = 0.86

x = 6

(ii) For x = 25:

(iv) For x = 52

(f) It would be unusual for a package to have only brown M&M's because probability of such as event is lamost 0.

If there were to happen, the reason may be: (i) We have have come across a rare event, which will happen again after a large number of trials OR (ii) The claim that the proportion of brown M&M's in a milk chocolate packet iis approximately 14% is wrong.

The proportion of brown M&M’s in a milk chocolate packet is
approximately 14% (Madison, 2013). Suppose a package of M&M’s
typically contains 52 M&M’s.
State the random variable.
Argue that this is a binomial experiment
Find the probability that
Six M&M’s are brown.
Twenty-five M&M’s are brown.
All of the M&M’s are brown.
Would it be unusual for a package to have only brown M&M’s?
If this were to happen, what would you think is the reason?

4.4.12 How many ways can you choose seven people from a group of
twenty?
5.1.2 Suppose you have an experiment where you flip a coin three
times. You then count the number of heads. State the random
variable. Write the probability distribution for the number of
heads. Draw a histogram for the number of heads. Find the mean
number of heads. Find the variance for the number of heads. Find
the standard deviation for the number of heads. Find the...

Milk Chocolate M&M’s come in 6 colors; blue, orange, green,
yellow, red, and brown.
Choose the color of M&M’s you will be working with for this
project
Color:
GREEN
Using the collected data below from a single fun-sized bag,
provide the frequency and proportion of M&M’s in your color of
choice.
Red
Orange
Yellow
Green
Blue
Brown
2
1
2
3
5
1
Number of M&M's in your
color:
Total number of
M&M's:
Proportion of M&M's in
your color:
Construct...

According to M&Ms Web site, each package of the milk
chocolate candies typically contain 14% brown, 13% red, 14% yellow,
16% green, 24% blue, and 20% orange M&Ms. You go to the store
and buy a standard-sized package. When you open it, you find that
it contains 51 M&Ms, distributed as follows: Color Brown Red
Yellow Green Blue Orange Frequency 8 4 10 4 11 11 Over the long
run, what is the probability that the first M&M you select...

An advertiser claims that the average percentage of brown
M&M'S candies in a package of milk chocolate M&M'S is 14%.
Suppose you randomly select a package of milk chocolate M&M'S
that contains 54 candies and determine the proportion of brown
candies in the package.
(a) What is the approximate distribution of the sample
proportion of brown candies in a package that contains 54
candies?
The distribution is approximated by a normal distribution with
mean 0.14 and standard deviation 0.86.The distribution...

Milk Chocolate M&M’s come in 6 colors; blue, orange,
green, yellow, red, and brown.
The color is red and the number of candies is 25/200 total
M&Ms
1. Choose your favorite color of M&M’s you will be working
with for this project. State the color and give the counts
below.
Color of choice:
Number of M&M's in your color:
Total number of M&M's:
Proportion of M&M's in your color:
2. Construct a 95% confidence interval for the proportion of
M&M’s...

According to the M&M® website, the average percentage of
brown M&M® candies in a package of milk chocolate M&Ms is
12%. (This percentage varies, however, among the different types of
packaged M&Ms.) Suppose you randomly select a package of milk
chocolate M&Ms that contains 60 candies and determine the
proportion of brown candies in the package.
(a) What is the approximate distribution of the sample
proportion of brown candies in a package that contains 60
candies?
i. The distribution is...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 3 minutes ago

asked 10 minutes ago

asked 10 minutes ago

asked 12 minutes ago

asked 15 minutes ago

asked 16 minutes ago

asked 19 minutes ago

asked 25 minutes ago

asked 29 minutes ago

asked 34 minutes ago

asked 35 minutes ago

asked 40 minutes ago