1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Anestetic [448]
2 years ago
7

The process standard deviation is 0.27, and the process control is set at plus or minus one standard deviation. Units with weigh

ts less than 9.85 or greater than 10.15 ounces will be classified as defects. If required, round your answer to four decimal places.
Mathematics
1 answer:
mr_godi [17]2 years ago
5 0

Answer:

a) P(X

And for the other case:

tex] P(X>10.15)[/tex]

P(X>10.15)= P(Z > \frac{10.15-10}{0.15}) = P(Z>1)=1-P(Z

So then the probability of being defective P(D) is given by:

P(D) = 0.159+0.159 = 0.318

And the expected number of defective in a sample of 1000 units are:

X= 0.318*1000= 318

b) P(X

And for the other case:

tex] P(X>10.15)[/tex]

P(X>10.15)= P(Z > \frac{10.15-10}{0.05}) = P(Z>3)=1-P(Z

So then the probability of being defective P(D) is given by:

P(D) = 0.00135+0.00135 = 0.0027

And the expected number of defective in a sample of 1000 units are:

X= 0.0027*1000= 2.7

c) For this case the advantage is that we have less items that will be classified as defective

Step-by-step explanation:

Assuming this complete question: "Motorola used the normal distribution to determine the probability of defects and the number  of defects expected in a production process. Assume a production process produces  items with a mean weight of 10 ounces. Calculate the probability of a defect and the expected  number of defects for a 1000-unit production run in the following situation.

Part a

The process standard deviation is .15, and the process control is set at plus or minus  one standard deviation. Units with weights less than 9.85 or greater than 10.15 ounces  will be classified as defects."

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:

X \sim N(10,0.15)  

Where \mu=10 and \sigma=0.15

We can calculate the probability of being defective like this:

P(X

And we can use the z score formula given by:

z=\frac{x-\mu}{\sigma}

And if we replace we got:

P(X

And for the other case:

tex] P(X>10.15)[/tex]

P(X>10.15)= P(Z > \frac{10.15-10}{0.15}) = P(Z>1)=1-P(Z

So then the probability of being defective P(D) is given by:

P(D) = 0.159+0.159 = 0.318

And the expected number of defective in a sample of 1000 units are:

X= 0.318*1000= 318

Part b

Through process design improvements, the process standard deviation can be reduced to .05. Assume the process control remains the same, with weights less than 9.85 or  greater than 10.15 ounces being classified as defects.

P(X

And for the other case:

tex] P(X>10.15)[/tex]

P(X>10.15)= P(Z > \frac{10.15-10}{0.05}) = P(Z>3)=1-P(Z

So then the probability of being defective P(D) is given by:

P(D) = 0.00135+0.00135 = 0.0027

And the expected number of defective in a sample of 1000 units are:

X= 0.0027*1000= 2.7

Part c What is the advantage of reducing process variation, thereby causing process control  limits to be at a greater number of standard deviations from the mean?

For this case the advantage is that we have less items that will be classified as defective

You might be interested in
Which size bag of cat food shown in the table has the lowest unit price?
garik1379 [7]
Size 40 is the cheapest, because the formula to find lowest price of unit is dividing the price by the unit. so 5.49/24≈ 0.23, 8.00/40=0.2, 15.99/64≈ 0.25
7 0
3 years ago
Mr. Arju wishs to purchase a house . to buy the house he needs to make a down payment of nu.300000 and also pay nu.15000 every q
mojhsa [17]

Answer:

The price of the house is $ 853,735.05.

Step-by-step explanation:

Since Mr. Arju wishes to purchase a house, and to buy the house he needs to make a down payment of $ 300,000 and also pay $ 15,000 every quarter for the next 8 years, if the interest charge is 9% per year compounded quarterly, to determine what is the price of the house, the following calculation must be performed:

300,000 + (15,000 x 12 x 8) = X

300,000 + (180,000 x 8) = X

300,000 + 1,440,000 = X

1,740,000 = X

X x (1 + 0.09 / 4) ^ 8x4 = 1,740,000

X x (1 + 0.0225) ^ 32 = 1,740,000

X x 1.0225 ^ 32 = 1,740,000

X x 2.0381030257737 = 1,740,000

X = 1,740,000 / 2.03810

X = 853,735.05

Therefore, the price of the house is $ 853,735.05.

5 0
3 years ago
Proportional relationships, please answer all of the parts! And please actually answer! Thank you!
damaskus [11]
This is most likely a proportional relationship because DOUG regularly mows his neighbors yard
4 0
2 years ago
Read 2 more answers
Jenna has 8 pairs of jeans. Three of them are blue. What percentage of her jeans is blue?
Bond [772]
A) blue/total = (3+2)/(8+2) = 5/10 = 50%

b) blue/total = (3)/(8 +2) = 3/10 = 30%
5 0
2 years ago
If m rst = 70, m qst = 2x, and m qsr = 3x-10 what is the m qsr
Anna [14]

Answer:

m qsr = 62°

Step-by-step explanation:

From my understanding, the question states 3 angles of a triangle

All 3 angles of a triangle are equal to 180°.

<u>Step 1: Find x</u>

<em>70 + 2x + 3x - 10 = 180°</em>

<em>70 + 5x - 10 = 180</em>

<em>5x = 180 - 60</em>

<em>x = 120/5</em>

x = 24°

<u>Step 2: Find angle qsr</u>

<em>m qsr = 3x - 10</em>

<em>m qsr = 3(24) - 10</em>

m qsr = 62°

!!

4 0
3 years ago
Read 2 more answers
Other questions:
  • Pls pls help I’m really confused could someone explain to me pls
    10·1 answer
  • What is the circumference of the circle in terms of pi? The radius is 2.2
    11·2 answers
  • Write an expression for the operation described below.
    14·1 answer
  • According to the diagram, which of the following statements about area and perimeter of pentagon ABCDE is true?
    6·1 answer
  • What is the length of the altitude of the equilateral triangle below
    7·1 answer
  • The total money collected if the cost to go on the trip is 20 for each student
    12·1 answer
  • -(7y+9)-(-6y+2)=-5 what is the aswer to this oroblem
    14·1 answer
  • <img src="https://tex.z-dn.net/?f=7%20-%20%20%5Csqrt%7B5%20%5Cdiv%20%20%207%20%20%2B%20%20%5Csqrt%7B5%7D%20" id="TexFormula1" ti
    7·2 answers
  • In order to make green paint, a 2:3 ratio of blue paint to yellow paint is used. If there are 30 ounced of green paint how many
    7·2 answers
  • Ashley and her sister decide to split the cost of dinner , which is $14 . How much will each sister pay?
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!