Circuit boards from two assembly lines set up to produce identical boards are mixed in one storage tray. As inspectors examine the boards, they find that it is difficult to determine whether a board comes from line A or line B. A probabilistic assessment of this question is often helpful. Suppose that the storage tray contains 10 circuit boards of which six came from line A and four from line B. An inspector selects two of these identical-looking boards for inspection. He is interested in X, the number of inspected boards from line A.
a. Find the probability function for X .
b. Graph the probability function of X .
c. Find the distribution function of X .
d. Graph the distribution function of X .

Answers

Answer 1

Answer:

a) X  = 2/15 , 8/15, 1/3

b) attached below ( probability plot )

C) F(x )     attached below

d) cumulative probability plot

Step-by-step explanation:

a) Determine the probability of Function X

P( x = 0 ) =  6 / 45 = 2 /15  = 0.1333

P( x = 1 )  = 8/15  = 0.5333

P( x = 2 ) = 1/3  = 0.3333

Hence the probability of Function X = 2/15 , 8/15, 1/3

b) Graph of the probability Function of X

 x           0              1               2        

p(x)    0.1333     0.5333     0.3333

attached below is the plot ( probability plot )

c) Determine the Distribution function of CX

using the results achieved in part ( a )

attached below is the solution

d) Graph of distribution function of X

x              0                  1           2

p(x)     0.1333          0.6667     1

attached below is the plot ( cumulative probability plot )

Circuit Boards From Two Assembly Lines Set Up To Produce Identical Boards Are Mixed In One Storage Tray.
Circuit Boards From Two Assembly Lines Set Up To Produce Identical Boards Are Mixed In One Storage Tray.
Circuit Boards From Two Assembly Lines Set Up To Produce Identical Boards Are Mixed In One Storage Tray.
Circuit Boards From Two Assembly Lines Set Up To Produce Identical Boards Are Mixed In One Storage Tray.

Related Questions

7 and - 1 1/2 on the number line?

Answers

Answer:

7 will lie on 0 and 1 and 1/2

Brand A and brand B of frozen green beans both list a weight of 32 ounces on their bags. Because of variability in the manufacturing process, the bags often contain slightly more, or less, than 32 ounces of green beans. An inspector takes a random sample of 25 bags of green beans of each type and records their weights. The weights and their relative frequencies are summarized in the histograms. 2 histograms comparing brand A and brand B of green beans. The median weight for brand B is less than the median weight of brand A. Which of the following is a true statement when comparing the bags of green beans? The median weight for both types is between 32.1 and 32.2 ounces. The median weight for both types is between 32.0 and 32.1 ounces. The median weight for brand B is less than the median weight of brand A. The median weight for brand B is greater than the median weight of brand A.

Answers

Answer:

The answer is: B.)32.0–32.1 ounces

Step-by-step explanation:

Got it right on my test

The true statement is The median weight for both types is between 32.0 and 32.1 ounces.

What is data?

Data is referred to as a collection of information gathered by observations, measurements, research, or analysis. It may comprise facts, figures, numbers, names, or even general descriptions of things. Data can be organized in the form of graphs, charts, or tables for ease in our study.

Given:

Brand A and brand B of frozen green beans both list a weight of 32 ounces on their bags.

The median weight for brand B is less than the median weight of brand A.

So, if both brands weigh 32 ounces then the median weight for both types is between 32.0 and 32.1 ounces.

Learn more about data here:

https://brainly.com/question/10980404

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Pls answer fast pls pls pls pls

Answers

Answer:

13.93

Step-by-step explanation:

use the Pythagorean theorem

Find the area of each figure. Use 3.14 for phone

Answers

Area of triangle: 3m

Area of rectangle: 24m

Area of semi-circle: 6.28m

Answer:

33.28 m²

Step-by-step explanation:

The figure consists of three shapes:

1) A semicircle of radius 2 m.

2) A rectangle 4 m by 6 m.

3) A triangle with base 3 m and height 2 m.

area = ½πr² + LW + ½bh

area = 3.14 * (2 m)^2/2 + (6 m)(4 m) + (3 m)(2 m)/2

area = 6.28 m² + 24 m² + 3 m²

area = 33.28 m²

The number of books (b) in a preschool classroom is proportional to the number of children (c) enrolled.

If the preschool has three books in a classroom for each child enrolled, which equation represents the total number of books in the classroom?

A. b=3c

B. b=3+c

C. b= 1 over 3c

D. b=3-c

Answers

the answer is c i believe
ITS C jxjhxbxbdbxjjxjxjx

An item has a listed price of $45. If the sales tax rate is 3%, how much is the sales tax (in dollars)?

Answers

Answer:

1.35

Step-by-step explanation:

45 x .03

Lisa is building a structure to be used in the school play. The structure is in the shape of a right triangular prism.A sketch is shown.Lisa will paint outside of the entire structure after building it.What is the area Lisa will paint.Be sure to include the units label.​

Answers

Answer:

36.6

Step-by-step explanation:

The amount of area Lisa will paint is 288 square inches.

What is area ?

Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.

here, we have,

to determine the area Lisa will paint:

From the question, we have the following parameters that can be used in our computation:

Triangular prisms (1) to (6)

The area Lisa will paint is the literal surface of the shape

Using the above as a guide, we have the following:

Literal Area = (a + b + c) * h

Where

a, b and c = 6, 8 and 10

h = 12

Substitute the known values in the above equation, so, we have the following representation

Literal Area = (6 + 8 + 10) * 12

Evaluate

Literal Area = 288

The above is the literal surface area of the prism

Read more about surface areas at

brainly.com/question/26403859

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what is the answer
Move the correct number to the first box to show the answer. Then, move numbers to the other boxes to explain the answer.

Answers

Answer:

[tex]\frac{1}{4} * 3 = \frac{3}{4}[/tex]

Because:

[tex]\frac{1}{4} * 3 = \frac{1}{4} +\frac{1}{4} + \frac{1}{4}[/tex]

Step-by-step explanation:

Given

[tex]\frac{1}{4} * 3 = [\ ][/tex]

Because

[tex]\frac{1}{4} * 3 = [\ ] + [\ ] + [\ ][/tex]

Required

Fill in the box

[tex]\frac{1}{4} * 3 = [\ ][/tex]

This can be written as:

[tex]\frac{1}{4} * 3 = \frac{1* 3 }{4}[/tex]

Solve the numerator

[tex]\frac{1}{4} * 3 = \frac{3}{4}[/tex]

(b) Because

[tex]\frac{1}{4} * 3 = [\ ] + [\ ] + [\ ][/tex]

The above implies that

[tex]\frac{1}{4}[/tex] be added in 3 places

i.e.

[tex]\frac{1}{4} * 3 = \frac{1}{4} +\frac{1}{4} + \frac{1}{4}[/tex]


Calculate the quotient below. Enter your answer in lowest terms, using the
slash mark (/) for the fraction bar.

Answers

Above is the right answer!!!!

Answer: 8/11

Step-by-step explanation:

Pls help ASAP PLSSSS!!!

Answers

Answer:

D

Step-by-step explanation:

225 is the closest to point (200, 200)

Answer:

c

Step-by-step explanation:

trust

Simplify the Expression and EXPLAIN what you did and WHY.

-3(4m+3)+2m

Answers

Answer:

-10m-9

Step-by-step explanation:

open the bracket by multiplication

-3 × 4m= -12m

-3 × 3= - 9

-12m - 9 +2m

arrange like terms together

-12m +2m -9

-10m -9

Determining the sale price of a home is an important task for city assessors, as it helps the city project future tax revenue. Regression models using the physical characteristics of a home to predict the sale price is standard practice for many assessors. A random sample of 724 homes sold in Ames, Iowa, between 2006 and 2010 was obtained to build such a model for the city of Ames. The assessor considered the following variables in their initial model:
Variable Description
LotArea Lot size (in thousands of square feet)
LivingArea Living space (in thousands of square feet)
Bedrooms Number of bedrooms
Rooms Number of rooms
Fireplaces Number of fireplaces
Bath Number of bathrooms
Age Age of the home (in years)
Price Sale price of the home (in thousands of dollars)
Below is the output obtained from the statistical software.
Estimate Std Error t value Pr(>|t|)
(Intercept) 100.55 6.167 16.31 < 0.0001
LotArea 0.99 0.144 6.86 < 0.0001
LivingArea 112.97 5.600 20.17 <0 .0001
Bedrooms −16.35 2.366 −6.91 < 0.0001
Rooms −0.51 1.667 −0.30 0.7613
Fireplaces 12.80 2.206 5.80 < 0.0001
Bat −13.60 3.459 −3.93 < 0.0001
Age−0.96 0.054 −17.86 < 0.0001
Number of Observations Residual Std Error R2 Adjusted R2
724 33.69 0.7686 0.7663
What is the response variable?
a. lot area
b. living area
c. age
d. sale price
What proportion of the variation in sale price does this multiple regression model explain?
a. .3369
b. .7686
c. .7663
d. 0.2314

Answers

It is the variable of description

A welcome mat in front of the hardware store is a half-circle. The straight side of the mat is 24 inches. What is the perimeter of the mat? Round to the nearest inch.
No links.

Answers

Answer:

To find the perimeter, we want to find the circumference of the whole circle, divide by 2, and add the 24 inches to get the total perimeter.

A semicircle is half a circle. If the straight edge of the semi circle is 24 inches, that makes the diameter of the full circle 24 inches as well.  

To find the circumference of the full circle, we need the formula:

C = 2πr  

 

Circumference = 2 x pi x radius

 

Radius is half of the diameter, so 12 inches.

C = 2 x pi x 12

C = 75.36 inches

 

75.36 is the circumference of a circle with a diameter of 24 inches. Divide this by two to get 37.68 inches, which is the length of the round part of the mat. Adding 24 inches for the straight side gives you the final answer, 61.68 inches, or ABOUT 62 inches.

find the missing side using the pythagorean theorem

Answers

Answer:

26.55

Step-by-step explanation:

[tex]a^2 + b^2 = c^2\\b^2 = c^2 - a^2[/tex]

use the b^2 equation

------------------------

b^2 = 31 squared - 16 squared.

b^2 = 705

b=[tex]\sqrt{705}[/tex]

b=26.5518361

PLEASE HELP options are in the picture
A game involves rolling a fair six-sided die. If the number obtained on the die is a multiple of three, the player wins an amount equal to the number on the die times $20. If the number is not a multiple of three, the player gets nothing.

How will you model the simulation for the roll of a die?

Answers

Answer: C. Use the numbers 1-3 to represent all the outcomes.

Step-by-step explanation: I got this question correct on Edmentum.

Pls help me, is for my gf

Answers

Answer:

tell ur gf good luck because what this is

also no hablo español

Answer:

x-bar, the average between all the values, x1+x2+x3/3

Find the surface of the triangular prism
17m 17m 15m 16m 10m

Answers

Please dont press that file.

Please help this is due today.

Answers

Answer:

[tex]b = 90[/tex]

[tex]c=80[/tex]

[tex]d =100[/tex]

Step-by-step explanation:

Given

See attachment

Required

Find b, c and d

First, we solve for b using:

[tex]b + 10 + b - 10 = 180[/tex] --- base angles of a parallelogram

Collect like terms

[tex]b + b =180+10-10[/tex]

[tex]2b = 180[/tex]

Solve for b

[tex]b = 180/2[/tex]

[tex]b = 90[/tex]

Then, we have:

[tex]d =b + 10[/tex]

[tex]c = b - 10[/tex] --- opposite angles

So, we have:

[tex]d =90 + 10[/tex]

[tex]d =100[/tex]

[tex]c = 90 - 10[/tex]

[tex]c=80[/tex]

Evaluate 12 ÷ 2 × 6.

Answers

division first
12 over 2 x 6
= 6 x 6
= 36

Answer:

[tex]36[/tex]

Step-by-step explanation:

1) Simplify 12 ÷ 2 to 6.

[tex]6 \times 6[/tex]

2) Simplify.

[tex]36[/tex]

therefor, the answer is 36.

Another area and perimeter question!!!
Pls helppppp

Answers

Answer:

D. 62 inches

Step-by-step explanation:

the object is symmetrical across z, so the lengths on the other side will be the same as x and y

the perimeter would just be 2x + 2y = 2(12) + 2(19) = 62 inches

One fourth of the 120 students took wood shop. How many students did not take wood shop?

Answers

Answer:

90 students.

Step-by-step explanation:

Given 1/4 of the 120 students took woodshop, just take the 3/4 that didn't take it:

[tex]\frac{3}{4}(120)[/tex]

Find common factors between 4 and 120 to simplify, so 4.

[tex]\frac{3}{1} (30)[/tex]

Now multiple across to get 90.

John gets his first job working at an ice cream shop because he loves ice cream. He gets paid $9 per hour. Create a table to demonstrate how much money John will make from 0 - 6 hours. Let x equal the number of hours worked, and let y equal the amount of money that he will make. Then, create a graph with your results.​

Answers

Answer:

1hr: $9

2hr: $18

3hr: $27

4hr: $36

5hr: $45

6hr: $54

Step-by-step explanation:

You can use Desmos, the graphing calculator (online tool)  

Which if the shaded regions below represents 3/5 of the whole circle

Answers

I believe that the answer is B because it is just over halfway!

Answer:B

Step-by-step explanation: i have the same test

Consider the function g(x) = StartLayout Enlarged left-brace first row negative 9, x less-than 11 second row 7, x greater-than-or-equal-to 11 EndLayout.

What is Limit of g (x) as x approaches 11, if it exists?

–9
–1
7
DNE

Answers

The limit as g(x) approaches 11 doesn't exist.

[tex]\lim_{x \to 11} g(x) = DNE[/tex]

It looks like you are working with the following piecewise defined function:

[tex]g(x)=\left \{ {{-9;x<11} \atop {7;x\geq11}} \right.[/tex]

There is a rule in calculus that tells us that for a limit to exist, both lateral limits must be the same as x approaches a given value. This is:

[tex]\lim_{x \to a^{-}} f(x)=\lim_{x \to a^{+}} f(x)[/tex]

if and only if this is true, then:

[tex]\lim_{x \to a^{-}} f(x)=\lim_{x \to a^{+}} f(x)=\lim_{x \to a} f(x)[/tex]

if that condition isn't met, then the limit doesn't exist.

So let's calculate the lateral limits for this function:

[tex]\lim_{x \to 11^{-}} g(x) = -9[/tex]

This means that as x approaches 11 from the left, the function will return a value close to -9

Now, let's calculate the lateral limits for this function:

[tex]\lim_{x \to 11^{+}} g(x) = 7[/tex]

This means that as x approaches 11 from the right, the function will return a value close to 7

You can better visualize this in the graph of the function which I attached to this answer.

Notice that both lateral limits are different, from the left you got a -9 and from the right you got a 7. Therefore, according to the rule I wrote above, the limit does not exist.

For more information on this topic, you can go to the following link:

https://brainly.com/question/17334531?referrer=searchResults

Answer:

D) DNE

Step-by-step explanation:

edge 2021

WILL GIVE BRAINLIEST AND 40 POINTS TO CORRECT ANSWER (URGENT)

chef daniels places her favorite recipes in a bag for 4 pasta dishes, 5 casseroles, 3 types of chili, and 8 desserts. If Chef Daniel chooses two recipes at random (but replaces the first one before drawing the second), what is the probability that the first recipe she selects is a casserole and the second recipe she selects is a dessert?

Answers

Answer:

Hi

Step-by-step explanation:

I have the same question, did you figure it out?

Write the number in 2 equivalent forms as a fraction, decimal, or percent.

Answers

Answer:

The numbers 6, 9 , and 42

Step-by-step explanation:

Fraction

6/10

9/100

42/100

Decimal

0.6

0.09

0.42

Percent

60%

9%

42%

Divide £104 in the ratio 3:5

Answers

Answer:

39:65

Step-by-step explanation:

104/(3+5) = 104/8 = 13    13(3):13(5) =  39:65

Please help I'll mark you as brainiest

Answers

The answer is going to be B

10% of $200,000 = $20,000

The answer is B
200000(10%)= 20,000

what is 9/-2 as an equivalent fraction

Answers

Answer:

18/-4 as equivalent fraction there are many others

[tex]\frac{x-2}{x^2+4x-12}[/tex]

Answers

Answer:

1/(x+6)

Step-by-step explanation:

I'm assuming you want me to factorize

x^2+4x-12 would factorize into (x-2) and (x+6)

Therefore, the numerator (x-2) would cancel with the part of the numerator (x-2) leaving 1/(x+6)

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