Components of a certain type are shipped to a supplier in batches of ten. Suppose that 50% of all such batches contain no defective components, 35% contain one defective component, and 15% contain two defective components. Two components from a batch are randomly selected and tested. What are the probabilities associated with 0, 1, and 2 defective components being in the batch under each of the following conditions?

a. Neither tested component is defective.
b. One of the two tested components is defective

Answers

Answer 1

Answer:

a) P (0 defective component) = 0.5

   P( 1 defective component ) = 0.35

    P( 2 defective component ) = 0.15

b) P( 0 ) = 0

   p ( 1 ) =  1

   p ( 2 ) = 0.33

Step-by-step explanation:

p( no defective ) = 0.5

p( 1 is defective ) = 0.35

p( 2 is defective ) = 0.15

Given that 2 components are selected at random

a) Given that neither component is defective

Probability of 0 defective component = 0.5

P( 1 defective component ) = 0.35

P( 2 defective component ) = 0.15

b) Given that one of the two tested component is defective

P( 0 defective ) = 0

P( 1 defective ) = P ( [tex]\frac{x=1}{x\geq 1}[/tex] ) = p( x = 1 ) / 1 - P ( x = 0 )

                                        = ( 0.5 )^1 ( 0.5 )^0 /  1 - ( 0.5)^0 (0.5)^1

                                        = 0.5 * 1 / 1 - 0.5 = 0.5 / 0.5 =  1

p ( 2 defective ) = p( x = 3 ) / 1 - P ( x = 0 )

                         = ( 0.5 )^2 ( 0.5 )^0 /  1 - ( 0.5)^0 (0.5)^2

                         = 0.25 / 0.75 = 0.33


Related Questions

I am the distance around the circle- it's perimeter WHAT AM I?​

Answers

I believe the answer is the circumference

2x+ 4y=20 find the slope for y and x

Answers

Answer:

y= 5  x=10

Step-by-step explanation:

substitute by 0

help with the Measure of a triangle’s side

Answers

Answer:

x = 163.5

x = 1.2

Step-by-step explanation:

Recall: SOH CAH TOA

For the first triangle:

Reference angle = 73°

Opposite = x

Adjacent = 50

Apply TOA:

Tan 73° = Opp/Adj

Tan 73° = x/50

50*Tan 73° = x

163.542631 = x

x = 163.5 (nearest tenth)

For the first triangle:

Reference angle = 4°

Opposite = x

Adjacent = 17

Apply TOA:

Tan 4° = Opp/Adj

Tan 4° = x/17

17*Tan 4° = x

1.1887558 = x

x = 1.2 (nearest tenth)

A regression analysis was performed to determine the relationship between the costs of a product (y), the time to make the product (x1 ), the number of different materials used (x2), and the amount spent on marketing the product (x3). The estimated regression equation is ŷ = 83- 2x1+ 6x2 + 1.1x3.

What is the estimated cost if the time to make the product is 5 hours, the number of different materials used is 4, and the amount spent on marketing is $100?

a. 83
b. 213
c. 185.4
d. 205.

Answers

Answer:

D) 205

Step-by-step explanation:

Given : Cost = 83 - 2 (time taken) + 6 (materials) + 1.1 (marketing cost)

Relationship Equation : y = 83- 2x1+ 6x2 + 1.1x3

Given, time (x1) = 5 , materials (x2) = 4 , marketing cost (x3) = 100

So, putting values, Cost : y = 83 - 2 (5) + 6 (4) + 1.1 (100)

= 83 - 10 + 24 + 110 = 207  

The closest to this calculated estimated figure ie 207, is 205.

A empty bowl has a mass of 600 grams. Sue puts 8 cans of equal mass into bowl. She weighs the filled bowl. It has a mass of 7 kilograms. What is the mass of each can in grams?

Answers

Answer:

6400/8 = 800gm

because 7000-600= 6400

and 6400/8 is our answer = 800grams

Step-by-step explanation:

1)  First we can convert kg into grams

2)   Then we deduct 600grams from the mass to show the weight of the mass without the weight of the bowl = - 600grams

1)      7kg = 7000gm  

2)     7000-600 = 6400

6400/8 = 800 grams

Answer:

Option B (800))

Step-by-step explanation:

We know that the mass of the empty container is 600 gr

And when they put 8 cans of equal mass then the final weight of the container is 7 kilograms or 7000 grams

If we call x the weight of the cans then this situation can be represented.

Now we solve the equation for the variable x.

what is the coefficient of x in the algebraic expression (5a)x-17x^2+14a?​

Answers

Coefficient of 'x'= 5a

Coefficient of 'x square'= -17

Constant term = 14a

Order from greatest to least: 12, -4,8, -3, 0.

Answers

Answer:

-4,-3,0,8,12 its backwards my bad

Step-by-step explanation:

because it is

Answer:

12, 8, 0, -3, -4

hope it helps

The value of a car is decreasing by 12​% per year. If the car is worth ​$11,000 ​today, what will it be worth in two​ years?

Answers

Answer:

$8518.40

Step-by-step explanation:

FV = PV(1+r)^n

FV = future value

PV = present value

r = rate

n = # of years

Value in 2 yrs = 11,000 x (1 - 0.12)^2 = 8518.4

Can anybody give me the answers to these questions

Answers

Answer:

830 cents

5n + p

Step-by-step explanation:

Given that :

Number of nickels = 140

Number of pennies = 130

Total coins :

140 nickels + 130 pennies

1 nickel = 5 cent

1 penny = 1 cent

Hence,

140(5) + 130(1)

700 + 130

= 830 cents in total

If :

number of nickels = n

Number of pennies = p

Tot coins :

5n + 1p

5n + p

Please help and show how you got the answer

Answers

Answer:

.11/4 multiply by any number inside the brackets 12x and also 12 to remove the brackets.

2.collect the like terms 3x+8x=11x

3. Then final answer is 11x+3.

Answer:

11x + 3 is the simplest form

Step-by-step explanation:

1/4 (12x + 12) + 8x

First distribute the 1/4 to both terms in the parentheses

= 3x + 3 + 8x

then combine like terms

= 11x + 3

We can't solve for x, only simplify this equation.

Composite scores on the ACT are normally distributed with a mean of 21 and a standard deviation of 5. find the Z score for a student that gets a 31

Answers

Answer:

[tex]Z = 2[/tex]

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 21 and a standard deviation of 5.

This means that [tex]\mu = 21, \sigma = 5[/tex]

Find the Z score for a student that gets a 31

This is Z when X = 31. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{31 - 21}{5}[/tex]

[tex]Z = 2[/tex]

Which sentence is punctuated correctly?




A) For breakfast we had bacon, and eggs, fruit juice, and cereal.

B) The novelist wrote poetry, short , stories and plays about her childhood in North Dakota .

C) The bank has branches in downtown Portland Beaverton Milwaukie , and Vancouver .

D) The athlete won the triathlon by running, a marathon , swimming two miles, and bicycling around the island.

Answers

Answer:

A) For breakfast we had bacon, and eggs, fruit juice, and cereal.

Hope this helps!!

I need the answer. Pls∝∝∝∝

Answers

Answer: it is going to be (B)

Answer:

C.256

Step-by-step explanation:

2(lb+bh+hl) = SA

length = 12

width = 4

Height = 5

2( 48+60+20)

128 x  2 = 256

For which of the following compound inequalities is there no solution? ​

Answers

Answer:

(a)[tex]6m \le - 36[/tex] and [tex]m + 24 > 20[/tex]

Step-by-step explanation:

Required

Which of a to d has no solution

(a)[tex]6m \le - 36[/tex] and [tex]m + 24 > 20[/tex]

We have: [tex]m + 24 > 20[/tex]

Sole for m

[tex]m >20 - 24[/tex]

[tex]m >-4[/tex]

[tex]6m \le - 36[/tex]

Divide by 6

[tex]m \le -6[/tex]

So, we have:

[tex]m \le -6[/tex] and [tex]m >-4[/tex]

[tex]m \le -6[/tex] implies that: m = -6,-7,-8,-9.....

[tex]m >-4[/tex] implies that m = -3,-2,-1,0.....

Hence, there is no solution

Solve 5(2x + 3) = 20

Answers

Answer:

Therfore, the value of x is 1/2.

Step-by-step explanation:

5(2x + 3) = 20

10x + 15 = 20

10x = 20-15

10x = 5

x = 5/10

x = 1/2

Answer:

0.5

Step-by-step explanation:

5(2x + 3) =20

10x + 15 = 20

10x = 20-15

10x =5

x= 1/2

A rectangle has an area of 72 in². The length and the width of the rectangle are changed by a scale factor of 3.5.

What is the area of the new rectangle?



Enter your answer in the box.

in2

Answers

Answer:

882 in^2

Step-by-step explanation:

If angle B measures 25°, what is the approximate perimeter of the triangle below?

Answers

Hello!

I had this problem in a test, and there is an image of a right triangle in the test

We have been given an image of a right triangle and are asked to find the perimeter of our given triangle.

The answer is 10.3 units, Option A

4/5 divided by 4/7 in simples form

Answers

Answer:

1 2/5

Step-by-step explanation:

4/5 divided by 4/7

(4/5) x (7/4) = 28/20=7/5 or 1 2/5

Please help I really need this done

Answers

Answer:

your total is..

Step-by-step explanation:

$14.3 you just gotta add em all together!

Answer:

$69

Step-by-step explanation:

total cost of slices of pizza = 24 x 1.75 = $42

Total cost of carrots = 12 x 0.80 = $9.6

total cost of cookies = 12 x 1.45 = $17.4

total cost = 42 + 9.6 + 17.4 = $69

Melanie volunteers on the weekend at the Central Library. As a school project, she decides to record how many people visit the library, and where they go. On Saturday, 467 people went to The Youth Wing, 433 people went to Social Issues, and 342 went to Fiction and Literature.On Sunday, the library had 1500 total visitors. Based on what Melanie had recorded on Saturday, about how many people should be expected to go to Fiction and Literature? Round your answer to the nearest whole number.

Answers

Answer:

413 people should be expected to go to Fiction and Literature

Step-by-step explanation:

Proportion of people who went to Fictions and Literature on Saturday:

342 out of 467 + 433 + 343 = 1243

The proportion is:

342/1243 = 0.275

On Sunday:

Based on Saturday, so 0.275 out of 1500(number of visitors on Sunday).

0.275*1500 = 412.5

Rounding to the nearest whole number:

413 people should be expected to go to Fiction and Literature

What is the value of n so the
expression 3(6+x) is equivalent
to 3(x+n)?

Answers

The answer is 6

3(6+x) is the same as 3(x+6)

is not the same because you can not add number to alphabet but you can multiple number to alphabet..

2×x×3×y
[tex]2 \times x \times 3 \times y[/tex]

Answers

Answer:

6xy

Step-by-step explanation:

Suppose a school survey showed that 5 out of 38 students had tried vaping. What percent of these students have tried vaping? Round your answer to the nearest whole percent.

Answers

Answer:

13.157894736842% or 13.2% or 13%

Step-by-step explanation:

me with math:  (┬┬﹏┬┬)

What is the value of the expression below when x =6 and y =2? Xy-y^3

Answers

answer:
4

step-by-step explanation:
x = 6
y = 2
xy - y^3
substituting
6(2) - 2^3
12 - 8
4

Please help!!! This really affects my grade! I need a final answer not a guess. Thank you very much. I really appreciate it. Links will be reported!

Answers

Answer:

Left skewed

Step-by-step explanation:

Looking at the box and whisker plot attached showing the wait times and the number of times they occur, we can see that as we approach the left, the number of times the wait time occurs increases. The box plot also shows like as if the box was pushed to the right as the center line is closer to the right than left.

Thus, we can say it's left skewed.

1. If AB = 4x+5 and CD = 5x-6, find CD.

Answers

Answer:

49

Step-by-step explanation:

Work is shown in the image

Simplify this 12^-6/12^7

Answers

Answer:

[tex]\frac{1}{12^{13}}[/tex] or [tex]12^{-13}[/tex]

Step-by-step explanation:

[tex]\frac{12^{-6} }{12^7} = \frac{\frac{1}{12^6} }{12^7} = \frac{1}{12^{13}} =12^{-13}[/tex]

Right Triangles

Solve the right triangle shown in the figure
BC = 2.7cm, AC = 1.1cm, ∠C = 90°

a. ∠A = 68°, ∠B = 22°. AB = 2.9cm
b. ∠A = 22°, ∠B = 68°, AB = 2.9cm
c. ∠A = 63°, ∠B = 27°, AB = 2.9cm
d. ∠A = 24°, ∠B = 66°, AB 3.8cm

Please select the best answer from choices provided

Answers

Answer:

A. ∠A = 68°, ∠B = 22°, AB = 2.9cm

Step-by-step explanation:

I calculated it logically

Find the x and y intercept of the equation -2x+4y=12

Answers

Answer:

x and y intercept

x —> (–6,0)

y —> (0, 3)

This question refers to unions and intersections of relations. Since relations are subsets of Cartesian products, their unions and intersections can be calculated as for any subsets. Given two relations R and S from a set A to a set B, R ∪ S = {(x, y) ∈ A ✕ B | (x, y) ∈ R or (x, y) ∈ S} R ∩ S = {(x, y) ∈ A ✕ B | (x, y) ∈ R and (x, y) ∈ S}. Let A = {−4, 4, 7, 9} and B = {4, 7}, and define relations R and S from A to B as follows. For every (x, y) ∈ A ✕ B, x R y ⇔ |x| = |y| and x S y ⇔ x − y is even. Which ordered pairs are in A ✕ B, R, S, R ∪ S, and R ∩ S? (Use set-roster notation to enter your answers.) A ✕ B = R = S = R ∪ S = R ∩ S =

Answers

The ordered pairs in each set are:

A ✕ B = {(-4, 4), (-4, 7), (4, 4), (4, 7), (7, 4), (7, 7), (9, 4), (9, 7)}

R = {(-4, 4), (4, 4), (7, 7), (9, 9)}

S = {(-4, 4), (-4, 7), (4, 4), (4, 7), (7, 7), (7, 4), (9, 9), (9, 7)}

R ∪ S = {(-4, 4), (-4, 7), (4, 4), (4, 7), (7, 7), (7, 4), (9, 9), (9, 7)}

R ∩ S = {(-4, 4), (4, 4), (7, 7), (9, 9)}

We have,

A ✕ B:

The concept of Cartesian product was used to generate all possible ordered pairs by pairing each element from set A with each element from set B.

R:

The concept of the absolute value was used to determine the condition for an ordered pair (x, y) to be in relation R, which is that the absolute value of x is equal to the absolute value of y.

S:

The concept of even numbers was used to determine the condition for an ordered pair (x, y) to be in relation S, which is that the difference between x and y is an even number.

R ∪ S:

The concept of a union was used to combine the ordered pairs that are in either relation R or relation S.

R ∩ S:

The concept of intersection was used to find the ordered pairs that are common to both relation R and relation S.

Thus,

The ordered pairs in each set are:

A ✕ B = {(-4, 4), (-4, 7), (4, 4), (4, 7), (7, 4), (7, 7), (9, 4), (9, 7)}

R = {(-4, 4), (4, 4), (7, 7), (9, 9)}

S = {(-4, 4), (-4, 7), (4, 4), (4, 7), (7, 7), (7, 4), (9, 9), (9, 7)}

R ∪ S = {(-4, 4), (-4, 7), (4, 4), (4, 7), (7, 7), (7, 4), (9, 9), (9, 7)}

R ∩ S = {(-4, 4), (4, 4), (7, 7), (9, 9)}

Learn more about sets here:

https://brainly.com/question/8053622

#SPJ4

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