Question

Suppose a carton has 12 eggs, and 2 of them are cracked. What are the chances of sampling 3 eggs randomly and without replacement so that none of them are cracked?

Answer #1

A carton contains 12 eggs. A particular carton is known to have
4 cracked eggs. An inspector randomly chooses 6 eggs from this
carton for inspection. Let X be the number of cracked eggs in the 6
chosen for inspection.
a. What is the probability that there is at least 1 cracked egg
chosen by the inspector?
b. What is the probability that there is exactly 1 cracked egg
chosen by the inspector?
c. What is the probability that there...

The following discrete probability distribution shows the
probability of having the indicated number of cracked eggs,
X, in each carton of 12 eggs purchased in a
certain grocery chain.
X
0
1
2
3
4
P(X)
60%
17%
11%
10%
2%
Tip
"At least 5" means "5 or more"
"At most 5" means "5 or less"
Find each of the following probabilities:
a. P(X < 3) =
b. P(X > 4) =
c. P(1 < X < 4) =
d....

Each egg in a carton of 12 eggs has a 0.1 probability of being
broken, independent of all the other eggs. Suppose I purchase 20
cartons (each containing twelve eggs). What is the probability that
there will be exactly 15 out of 20 cartons that will contain some
broken eggs?

A quality standard says that no more than 2 percent of the eggs
sold in a store may be cracked (not broken, just cracked). In 3
cartons (12 eggs each carton), 2 eggs are cracked.
(a) Calculate a p-value for the observed
sample result. Hint: Use Excel to calculate the cumulative
binomial probability P(X ≥ 2 | n = 36, ππ = .02)
= 1 – P(X ≤ 1 | n = 36, ππ = .02).
(Round your answer to...

A certain type of eggs has 3 bad eggs and 9 good eggs. An
omelette is made 3 eggs randomly chosen from the carton. What is
the probability that there are
I. No bad eggs II. At least 1 bad egg III. Exactly 2 bad eggs in
omelette

1. Consider a carton containing one dozen colorfully decorated
eggs labeled A through L. ’ (a) How many distinct ways can the eggs
be arranged in the carton? (b) If three of the eggs are chosen to
decorate an Easter basket, how many choices are possible? Hint:
Order doesn’t matter. (c) What is the probability that exactly 3 of
the randomly chosen eggs have a vowel for a label? Hints: How many
vowels are there between A and L? Since...

1. Mary cracked open 30 Easter eggs and found 2 free lemonade
tickets. What is the probability that she will get another free
lemonade ticket in the next Easter egg?
2. Miss Carmen picked 12 tulips, 16 daffodils, and 8 lilies from
her garden. She gave to Lise a flower at random from this bunch of
flowers. What is the probability that Lisa got a Lily?
3. One morning, Jack herded fifty sheep up to the hill. Seventeen
of the...

In an basket, there are 20 eggs of four colors: red, black,
yellow and blue. For each color, there are 5 eggs and they are
numbered from 1 to 5.
1) If one egg is randomly drawn from the basket, what is the
probability that the randomly selected egg is red or blue?
2) If one egg is randomly drawn from the basket, what is the
probability that the randomly selected egg is numbered 1 or
blue?
3) If two...

Let y denote the number of broken eggs in a randomly selected
carton of one dozen eggs.
y 0 1 2 3 4
p(y) 0.59 0.25 0.10 0.04 0.02
(a)
Calculate and interpret μy.
μy =
(b)
In the long run, for what proportion of cartons is the number
of broken eggs less than μy? (Round your answer to two decimal
places).
Does this surprise you?
Yes
No
(c)
Explain why μy is not equal to
0 + 1 +...

A quality control manager at a local supermarket is
investigating broken eggs in the store brand dozen egg cartons. The
table below summarizes the data he collected from 150 randomly
chosen cartons.
Number of Broken Egg
0
1
2
3
4
Frequency
114
18
13
3
2
Probability, P(x)
.76
.12
.09
.02
.01
What is the standard deviation of the number of broken eggs in a
carton? Label your answer with correct statistical notation
What is the expected number...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 18 minutes ago

asked 18 minutes ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 3 hours ago

asked 3 hours ago

asked 3 hours ago