Question
In: Statistics and Probability
A fabric company sells rolls of fabric. Their top selling fabric roll is cut to a...
A fabric company sells rolls of fabric. Their top selling fabric roll is cut to a length of 12 feet and rolled up for the customer. The actual lengths of the fabric on each roll is normally distributed with a mean of 11.97 ft and a variance of 0.09 ft2.
- What proportion of these fabric rolls are longer than 12.02 feet?
- What proportion of these fabric rolls are between 12.00 feet and 12.10 feet?
Solutions
Expert Solution
X : The actual lengths of the fabric on each roll
X ~ N(11.97 , 0.09) = N(11.97 , 0.32)
a).the proportion of these fabric rolls are longer than 12.02 feet is:-
[ in any blank cell of excel type =NORMSDIST(0.1667)]
b).the proportion of these fabric rolls are between 12.00 feet and 12.10 feet is:-
[ in any blank cell of excel type =NORMSDIST(0.4333)
in any blank cell of excel type =NORMSDIST(0.1)]
*** if you have any doubt regarding the problem ,please write it in the comment box...if satisfied,please UPVOTE.
orchestra answered 1 year agoRelated Solutions
A cardboard cutting company received three orders to cut rolls to the measurements shown below: Order...
A cardboard cutting company received three orders to cut rolls to the measurements shown below:
Order
Width (meters)
Length (meters)
A
0.50
1000
B
0.70
3000
C
0.90
2000
This company buys the cardboard to be cut into two standard widths: 1 and 2 meters and then cuts it according to what each order requires. The standard rolls do not have a defined length, since for practical purposes the cardboard can be glued to comply with the required length.
Formulate...
Cotopaxi makes backpacks. Traditionally, they bought fabric in quantity, and cut out the forms for their...
Cotopaxi makes backpacks. Traditionally, they bought fabric in
quantity, and cut out the forms for their backpacks from large
pieces, discarding the interstitial material as scrap. Due to the
integrated nature of the production facility, the cost of all this
fabric was considered a joint cost, allocated by the approximate
relative sales value method, and the scraps were considered a waste
by-product. Recently however, an enterprising employee had the
great idea to use these scraps and make small, unique bags...
Cotopaxi makes backpacks. Traditionally, they bought fabric in quantity, and cut out the forms for their...
Cotopaxi makes backpacks. Traditionally, they bought fabric in
quantity, and cut out the forms for their backpacks from large
pieces, discarding the interstitial material as scrap. Due to the
integrated nature of the production facility, the cost of all this
fabric was considered a joint cost, allocated by the approximate
relative sales value method, and the scraps were considered a waste
by-product.
Recently however, an enterprising employee had the great idea to
use these scraps and make small, unique bags...
Cotopaxi makes backpacks. Traditionally, they bought fabric in quantity, and cut out the forms for their...
Cotopaxi makes backpacks. Traditionally, they bought fabric in
quantity, and cut out the forms for their backpacks from large
pieces, discarding the interstitial material as scrap. Due to the
integrated nature of the production facility, the cost of all this
fabric was considered a joint cost, allocated by the approximate
relative sales value method, and the scraps were considered a waste
by-product.
Recently however, an enterprising employee had the great idea to
use these scraps and make small, unique bags...
Peter rolls an 8 die and then Kate gets three chances to roll a 6-die and...
Peter rolls an 8 die and then Kate gets three chances to roll a
6-die and get greater number than whatever Pter rolled. What is the
probability that at least one of Kate’s rolls is greater than what
Peter's rolls?
1) The Top Shop Company produces T-shirts. Each T-shirt requires 1.30 m of fabric, which company...
1) The Top Shop Company produces T-shirts. Each
T-shirt requires 1.30 m of fabric, which company obtains at a cost
of $5 per meter. The company sells the T-shirts for $12 per
T-shirt. The Company would like to maintain an ending stock of
fabric equal to 10% of the next month’s requirements. The company
would also like to maintain an ending stock of finished T-shirts
equal to 20% of the next month’s sales. Sales (in units) are
projected to be...
Roll and Wind Cable, Inc. (“R&W”) manufactures 15,000 rolls of cable each period.
Roll and Wind Cable, Inc. (“R&W”) manufactures 15,000 rolls of cable each period. The cable is used as an input for producing several other products that R&W manufactures. For a 100-roll batch, R&W’s manufacturing costs are:
Direct materials
$125
Direct labor
85
Manufacturing overhead
400
Total
$610
Included in manufacturing overhead is $215 per batch related to annual depreciation expenses and insurance cost on production facilities and production equipment. No other costs or expenses need to be considered.
An...
You make a carnival game, where the player rolls two fair dice (in a single roll)...
You make a carnival game, where the player rolls two fair dice
(in a single roll) and attempts to roll doubles (meaning both dice
show the same number). The player puts down a dollar to play the
game.
If the player loses, they lose their
dollar.
If the player wins, they win $3 (and
do not lose their original dollar). Answer the following (5 pts
total).
If you are running the game, what is the expected value of how
much...
Consider the following experiment: we roll a fair die twice. The two rolls are independent events....
Consider the following experiment: we roll a fair die twice. The
two rolls are independent events. Let’s call M the number of dots
in the first roll and N the number of dots in the second roll.
(a) What is the probability that both M and N are even?
(b) What is the probability that M + N is even?
(c) What is the probability that M + N = 5?
(d) We know that M + N = 5....
A ball rolls down from the top of an incline with a height of 5 m...
A ball rolls down from the top of an incline with a height of 5
m high without slipping. The ball has a diameter of 0.2m. What are
the ball’s translational speeds a) at the center of the ball, b) at
the contact point on the ground, and c) at the top of the ball when
it arrives at the bottom? What values of "c" do you expect for
hollow/solid balls? Will the hollow ball be faster?
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- Explain the use of neural networking modeling in predictive analytics.
- Current Market Mix of Netflix, as detail as possible, please.
- This is all one question, thank you so much in advance! You must evaluate a proposal...
- X Company is considering the purchase of a new processor that costs $200,000. Shipping and setup...
- There are a large number of tasks involved in information technology and programming, and many of...
- Using one quantitative and one qualitative health policy research method described in this chapter, design a...
- What is the Rawls' solution to the age-old question of social (economic / distributive) justice?...
ADVERTISEMENT