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
Find the distance, c, between (–3, –4) and (1, 5) on the coordinate plane. Round to the nearest tenth if necessary.
nexus9112 [7]

Answer:

I believe the answer 16

Step-by-step explanation:

All you have to do is count.

8 0
2 years ago
BRAINLIEST ASAP! PLEASE HELP ME :)
Lubov Fominskaja [6]

Answer:

(A)If the points are on the same line, then the points are collinear. True

Step-by-step explanation:

Given the conditional statement:

  • Collinear points are on the same line.

Its converse will be:

  • If the points are on the same line, then the points are collinear.

This is true because by definition of collinearity, the points must be on the same line. Therefore, no counter example is needed.

<u>The correct option is A.</u>

8 0
3 years ago
A student has $1 bills and $5 bills in his wallet. He had a total of 15 bills that are worth $47. How many of each type does he
Mrrafil [7]

Total number of $1 bills=7

Total number of $5 bills=8

Further explanation:

Given

Let x be the number of $1 bills

and

y be the number of $5 bills

Then according to the given statements

x+y=15

x+5y=47

From first equation:

x+y=15\\x=15-y

Putting x=15-y in second equation

x+5y=47\\15-y+5y=47\\4y=47-15\\4y=32\\\frac{4y}{4}=\frac{32}{4}\\y=8

Putting y=8 in first equation

x+8=15\\x=15-8\\x=7

Hence,

Total number of $1 bills=7

Total number of $5 bills=8

Keywords: Linear equations, Substitution method

Learn more about linear equations at:

  • brainly.com/question/2367554
  • brainly.com/question/2977815

#LearnwithBrainly

4 0
3 years ago
Marvin was completing the square, and his work is shown below. Identify the line where he made his mistake.
kolbaska11 [484]
Im taking the test not ill let you know<span />
3 0
2 years ago
Read 2 more answers
I wanna know how to get this answer using the quadratic formula 4t2 + 9t − 3 = 0
motikmotik

\text{The quadratic formula is:}\\\\x=\frac{-b\pm\sqrt(b^2-4ac)}{2a}\\\\\text{In the equation, your 4 is a, 9 is b, and -3 is c}\\\\\text{Plug in and solve:}\\\\t=\frac{-9\pm\sqrt(9^2-4(4)(-3))}{2(4)}\\\\t=\frac{-9\pm\sqrt(81-4(4)(-3))}{2(4)}\\\\t=\frac{-9\pm\sqrt(81+48)}{2(4)}\\\\t=\frac{-9\pm\sqrt129}{2(4)}\\\\t=\frac{-9\pm\sqrt129}{8}\\\\\text{Since you can't simplify any further, that'll be your answer}\\\\\boxed{t=\frac{-9+\sqrt129}{8}\,\,and\,\,t=\frac{-9-\sqrt129}{8}}

6 0
3 years ago
Other questions:
  • In order to lower his monthly auto insurance bill, Henry has decided to change his existing policy by increasing the deductible
    10·2 answers
  • What is the value of x
    13·1 answer
  • Awesome car company sold 20 cars this week.Their goal is to sell at least 25% more next week. Write an inequality that represent
    14·1 answer
  • 13. 24 hours to 86 hours<br><br> 86 divided by 24
    7·2 answers
  • The product of 576 and 684 is irrational or rational
    8·2 answers
  • The harbormaster wants to place buoys where the river bottom is 20 feet below the surface of the water. Complete the absolute va
    15·1 answer
  • Find the derivative F(x)=(5x+3)(2x^2+1)
    8·1 answer
  • A ball club makes $450,000 when it does not rain. It also loses $250,000 when there is a rain out. If the
    7·1 answer
  • PLEASE HELP REAL ANSWERS!
    5·1 answer
  • This hyperbola is centered at the origin. Find its equation. Foci: (-9,0) and (9,0) Vertices: (-2,0) and (2,0)
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!