A process is normally distributed and in control, with known mean and variance, and the usual three-sigma limits are used on the control chart, so that the probability of a single point plotting outside the control limits when the process is in control is 0.0027. Suppose that this chart is being used in phase I and the averages from a set of m samples or subgroups from this process are plotted on this chart. What is the probability that at least one of the averages will plot outside the control limits when m = 5? Repeat these calculations for the cases where m = 10, m = 20, m = 30, and m = 50.

Required:
Discuss the results that you have obtained.

Answers

Answer 1

Answer:

The solution to the issue is outlined in the following portion of the summary.

Step-by-step explanation:

The given value is:

p = 0.0027

When m = 5,

⇒ [tex]P (x \geq 1) = 1 - P (x = 0)[/tex]

                   [tex]=1 - 5C0 (0.0027)^0 (1 - 0.0027)^5[/tex]

                   [tex]= 1 - 0.9866[/tex]

                   [tex]=0.0134[/tex]

When m = 10,

⇒ [tex]P (x \geq 1) = 1 - P (x = 0)[/tex]

                   [tex]=1 - 10C0 (0.0027)^0 (1 - 0.0027)^{10}[/tex]

                   [tex]=1 - 0.9733[/tex]

                   [tex]= 0.0267[/tex]

When m = 20,

⇒ [tex]P (x \geq 1) = 1 - P (x = 0)[/tex]

                   [tex]=1 - 20C0 (0.0027)^0 (1 - 0.0027)^{20}[/tex]

                   [tex]=1 - 0.9474[/tex]

                   [tex]=0.0526[/tex]

When m = 30,

⇒ [tex]P (x \geq 1) = 1 - P (x = 0)[/tex]

                   [tex]=1 - 30C0 (0.0027)^0 (1 - 0.0027)^{30}[/tex]

                   [tex]=1 - 0.9221[/tex]

                   [tex]=0.0779[/tex]

When m = 50,

⇒ [tex]P (x \geq 1) = 1 - P (x = 0)[/tex]

                   [tex]= 1 - 50C0 (0.0027)^0 (1 - 0.0027)^{50}[/tex]

                   [tex]= 1 - 0.8736[/tex]

                   [tex]=0.1264[/tex]


Related Questions

(__-3)(__+7)=2x^2+x-21

Answers

Answer:

(x - 3)(2x + 7) = 2x^2 + x - 21

Step-by-step explanation:

2x^2 + x - 21 = (__ - 3)(__ + 7)

The first term of the trinomial is 2x^2 which can be factored into 2x * 2.

You need to place 2x in one blank and x in the other blank.

Try it both ways. Then multiply the factors out to see which one gives you the correct middle term.

Try 2x - 3.

(2x - 3)(x + 7) = 2x^2 + 14x - 3x - 21 = 2x^2 + 11x - 21

This gives the middle term 11x, but we need the middle term to be x, so now we try x - 3.

(x - 3)(2x + 7) = 2x^2 + 7x - 6x - 21 = 2x^2 + x - 21

This gives the correct middle term, x, so this is the correct factorization.

Answer:

(x - 3)(2x + 7) = 2x^2 + x - 21

15 men can dig a ditch in 10 days, how many day
Will 10men take working at the same rate​

Answers

Answer:

If 10 men dig a ditch in 12 days .

Total man-days required to dig the ditch

= 10 men × 12 days

= 120 man-days

how long would 15 men take to dig it?

No of days required to finish the job by 15 men

= 120 men-days / 15 men

= 8 days

Answer: 8 days will be required to finish the job by 15 men

Step-by-step explanation:

Hope this helps u

Crown me as brainliest:)

Hello, I wanted to leave you this photograph of mathematics that I think will be very useful to some of you, observe it​

Answers

Answer:

thanks

Step-by-step explanation:

<3

123.456 RONDED TO THE NEAREST HUNDREDTH.

Answers

123.456 RONDED TO THE NEAREST HUNDREDTH.

Answer:

123.46

Answer:

123.46 is probably the answer

18.
The mean of 7 numbers is 29. What is the total of the 7 numbers?​

Answers

Answer:

203

Step-by-step explanation:

The mean is the number after it has been divided by 7,therefore to get the original total you need to multiply the mean [27] by the divisor [7] . Basically you're reversing the original problem.

How is the results?

Answers

Answer:

[tex]26^9[/tex]

Step-by-step explanation:

When you multiply powers with the same bases, you just add up the powers. In this case, it would be:

[tex]26\cdot28^8\\=26^1\cdot28^8\\=26^9[/tex]

helllllllppppp me pleaseeeeeeeee!!!!

Answers

I think the answer is 1/2!

y=5x-7
-3-2x=12 for x

Answers

Answer:

4 2/3

lmk if this is correct or not

Step-by-step explanation:

5x-7-3-2x=12

5x-4-2x=12

3x-2=12

3x=14

14/3

x=4.666 or 4 and 2/3

Please Help Fast! :(


Six teams are out on the field playing soccer. The teams all have the same number of players. The head coach asks for 2 players from each team to come help him move some equipment. Now there are 78 players on the field. Write and solve an algebraic equation whose solution is the number of players, p, on each team.

Please write the equation and answer please

Answers

6x - 12 = 78
6x = 90
x = 15

There are 15 players on each team

6m + 4n + 3m - 6

What is the expression in simplest form

Answers

9m+4n-6 thats the answer
9m+4n-6

you only add the like terms 6+3

-2/3 times 2 1/2 times (-3)

Answers

Answer:

Answer if 5

Step-by-step explanation:

-2/3 times 5/2 equals -5/3 times -3 equals5

Answer:

5.

for help with multiplying factions, take a look at this chart.

Rick has 10 more crayons than Lori. Lori has 136 crayons. Tom has 10 fewer crayons than Rick. How many crayons does each child have?

Answers

Step-by-step explanation: Uh if Lori has 136 crayons. And rick has 10 more than her He would have 146 And tom has 10 fewer crayons than rick so he would have 136

Lori:136

Rick:146

Tom:136

And idk if u need this or not but if u want it all together it would be: 418

Hope this helps!)

Rick has 146 crayons,  Lori has 136 crayons and Tom has 136 crayons'

Let the number of crayons Rick have be x

Let the number of crayons Lori has be y

Let the number of crayons tom has be z

If Rick has 10 more crayons than Lori, then;

x = 10 + y

Since Lori has 136 crayons, hence y = 136

x = 10 + 136

x = 146

If Tom has 10 fewer crayons than Rick, then;

z = x - 10

z = 146 - 10

z = 136

Hence rick has 146 crayons,  Lori has 136 crayons and Tom has 136 crayons'

Learn more here: https://brainly.com/question/2192597

What is the slope of a line perpendicular to the line whose equation is
2x – 2y = 20.

Answers

Answer:

-1

Step-by-step explanation:

Solve for y into y=mx+b

2x-2y=20

-2y=-2x+20

y=(-2x+20)/-2

y=x-10

the slope is m, so it’s 1

A line perpendicular to that would be -1

In a standard normal distribution, what percent of values are less than -0.23?​

Answers

Answer:

0.4

Step-by-step explanation:

Write the multiple regression equation for miles per gallon as the response variable. Use weight and horsepower as predictor variables. See Step 5 in the Python script. How might the car rental company use this model

Answers

Answer:

Step-by-step explanation:

Response Variable: Miles per gallon

Predictor Variables: Weight, Horsepower

The multiple regression equation would be: M = aW + bH + c

where M = miles per gallon

a = slope of the graph of W on M OR rate of change in M due to change in W

W = weight

b = slope of the graph of H on M OR rate of change in M due to change in H

H = horsepower

c = intercept of M on the y-axis OR constant variable

How might the car rental company use this model?

The car rental company might use the regression model to determine the following:

- Effect of weight (of car) on miles run per gallon (of premium motor spirit)

- Effect of horsepower on miles per gallon; etc.

Which statement is true regarding the graphed functions?


f(0) = g(0)
f(-2) = g(-2)
f(0) = g(-2)
f(-2)=g(0)

Answers

F(2) =0 and G(-2) = 0 hope this helped

What are the domain and range of the function?

f(x)=35x5

Answers

Answer:

Assuming that the question is  

[tex]f(x)=\frac{3}{5x^5}[/tex]

The asnwer would be

Domain: (- ∞,0) U (0, ∞)

Range: ( - ∞,0) U (0, ∞)

Step-by-step explanation:

The domain and range of the function are:

Domain: (- ∞,0) U (0, ∞)

Range: ( - ∞,0) U (0, ∞)

Domain and  Range of function

The domain are the input values for which a function exist while the range are output value for which the function exist.

Given the function:

g(x) = 35x^5

The function can exist on all real values since we will have a correspoding value of y for every value of x.

Hence the domain and range of the function are:

Domain: (- ∞,0) U (0, ∞)

Range: ( - ∞,0) U (0, ∞)

Learn more on domain and range here: https://brainly.com/question/2264373

What is the slope of the line y-5=3(x-2)?

Answers

I believe it is 3, if you follow the equation y=mx + b, the m value will be your slope

A club had some money to purchase new chairs. After buying 355 chairs at $199 each, there was $1,068 remaining. How much money did the club have at first? *

Answers

Answer:

$71713

Step-by-step explanation:

If each chair cost $199 then multiple 199 by 355

[tex]199*355= 70645[/tex]

If they still have 1068 then add that into the sum

[tex]70645+1068=71713[/tex]

So your answer is $71713

Answer: $71,713

Step-by-step explanation:

First you would multiply 355 by 199 to get 70,645. Next you would add the remainder of what they had, $1,068, and get the answer. hope this helps.

2 points 5. What property is used to get from Step 1 to Step 2? * Step 1 : 28x + 10 = 66 Step 2: 28x = 56

Answers

Answer: subtraction property of equality

Step-by-step explanation:

What 2+2.... I need help lololololol.olo

Answers

Answer:

4

Step-by-step explanation:

2+2 is 4

4 :) you’re welcome

Practice Makes Perfect
This practice exercise should be done by the students independently, after
completing the chapter.
1. Discover the pattern and extend it.
ABC
CBA
DEF
FED
b.
18A
20B
22C
24D
D001
001
0001
C.
460
4400
4200
40000
d.
9Z
15Y
21X
27W​

Answers

Answer:

A.

ABC

CBA

DEF

FED

Step-by-step explanation:

I hope it's help

#lets_help_each_other

whoever gets this question right first gets brainiliest
5 people share 1/2 of a jar of salsa equally.
How much salsa does each person get?

Answers

Each person gets 10 salsa. I think...

Vladimir buys 1.20 pounds of Skittles, 3 1/2 pounds of M&Ms, and 5.2 pounds of pretzels. If the candy cost $1.20 a pound and the pretzels cost $1.10 a pound, how much did Vladimir spend?

Answers

Answer: 12.2408

Step-by-step explanation:     This is what I got I hope I got it right:)

If adult females are randomly​ selected, find the probability that they have pulse rates with a mean between 70beats per minute and 82beats per minute.

Answers

This question is incomplete.

Complete Question

Assume that females have pulse rates that are normally distributed with a mean of u = 76.0 beats per minute and a standard deviation of 12.5 beats per minute. If 1 adult female is randomly selected, find the probability that her pulse rate is between 70 beats per minute and 82 beats per minute. The probability is (Round to four decimal places as needed.)

Answer:

0.3688

Step-by-step explanation:

The formula for calculating a z-score when given a random sample of numbers is is z = (x-μ)/σ/√n

where x is the raw score,

μ is the population mean, and

σ is the population standard deviation.

mean = 76.0 beats per minute and a standard deviation = 12.5 beats per minute.

n = number of random samples = 1

For 70 beats per minute

z = 70 - 76/12.5/√1

z = -0.48

Probability value from Z-Table:

P(x = 70) = 0.31561

For 82 beats per minute.

z = 82 - 76/12.5/√1

z = 0.48

Probability value from Z-Table:

P(x = 82) = 0.68439

The probability that her pulse rate is between 70 beats per minute and 82 beats per minute.

P(x = 82) - P(x = 70)

0.68439 - 0.31561

= 0.36878

≈ 0.3688

6.13x7 approximate value
what is the answer​

Answers

I think the correct answer would be 42.91

Factorise fully
-x - 8


please do quick! will mark brainiest!​

Answers

Answer:

-(x+8)

Step-by-step explanation:

-x - 8

-1 *x -1 * 8

Factor out a -1

-1(x+8)

-(x+8)

Answer:

-1(x+8)1(-x -8)

Step-by-step explanation:

[tex] - x - 8[/tex]

Factor out common term : -1

[tex] - 1(x + 8)[/tex]

The graphed line can be expressed by which equation?

1. y+2=2/3(x×2)
2. y-2=3/4(x-1)
3. y-1=-3/4(x-2)
4. y-2=3/4(x-2)​

Answers

The points are (-2,-2) and (4,2). So the slope is gonna be 2/3. So the answer is number 1. Let me know if I got wrong.

The perimeter of a rectangle is 30cm. The length is 3cm more than twice the width. Find the LENGTH of the rectangle

Answers

Answer:

(2w+3)2+2w=30

4w+6+2w=30

6w=30-6=24

w=4

l=4(2)+3

l=11

Complete the two-way frequency table below, which shows the relationship between students who enroll in advanced Algebra and Physics in a particular high school. From a sample of 50 students, it is found that 39 are taking Algebra, 16 are taking Physics, and 7 are enrolled in both. How many students are enrolled in either Algebra or Physics? (4 points)

Algebra Not in Algebra Total
Physics 7 16
Not in Physics
Total 39 50
a
41

b
2

c
48

d
7

Some please help me

Answers

Answer:

48 students

Step-by-step explanation:

Represent algebra with A and physics with P

Given

Total = 50

n(A) = 39

n(P) = 16

n(Both) = 7

Required

Determine students taking Algebra or Physics

This is calculated using

n(A or P) = n(A) + n(P) - n(Both)

n(A or P) = 39 + 16 - 7

n(A or P) = 48

A total of 48 students are enrolled in either physics or algebra.

Number of students taking algebra n(A)= 39

Number of students taking physics n(B)= 16

Number of students taking both subjects n(A∩B)= 7

So, the number of students taking either physics or algebra will be the union of sets i.e. n(A∪B)

What does the union of sets represent?

The union of two sets is a set containing all elements that are in A or in B (possibly both).

As we know,

n(A∪B) = n(A) + n(B) - n(A∩B)

n(A∪B) = 39+16-7

n(A∪B) = 48

Therefore, A total of 48 students are enrolled in either physics or algebra.

To get more about set theory visit:

https://brainly.com/question/13458417

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