A lot of components contains that are defective. Two components are drawn at random and tested. Let be the event that the first component drawn is defective, and let be the event that the second component drawn is defective. Write your answer as a fraction or a decimal, rounded to four decimal places. (a) Find . (b) Find . (c) Find . (d) Are and independent

Answers

Answer 1

Complete question is;

A lot of 10 components contains 4 that are defective. Two components are drawn at random and tested. Let A be the event that the first component drawn is defective, and let B be the event that the second component drawn is defective. Write your answer as a fraction or a decimal, rounded to four decimal places.

(a) Find P(A)

(b) Find P (B|A)

(c) Find P(A and B)

(d) Are A and B independent?

Answer:

A) P(A) = 0.4

B) P(B|A) = 1/3

C) P(A and B) = 2/15

D) They are not independent

Step-by-step explanation:

We are told that A is the event that the first component drawn is defective, and B is the event that the second component drawn is defective.

A) Since 4 out of the 10 components are defective, then;

P(A) = 4/10 = 0.4

B) After taking 1 out of the 10, there will be 9 left and 3 defective ones left.

Thus; P(B|A) = 3/9 = 1/3

C) P(A and B) = P(A) × P(B|A)

Thus;

P(A and B) = 4/10 × 1/3

P(A and B) = 4/30 = 2/15

D) They are not independent because B can't be done until A is done whereby the first component is drawn.


Related Questions

Someone please help me and thank you:)

Answers

Answer:

your answer is F . s=1/6r .

Functions W and Z are both linear functions of x. Which statement comparing the functions is true?

Answers

Answer is in the file below

tinyurl.com/wpazsebu

Luca has a box of dog toys. There are 3 bones, 5 balls, and a stuffed animal. What is the ratio of balls to stuffed animals?
A.
5:1
B.
9:5
C.
5:8
D.
1:5

Answers

The answer would be D. 1:5 since there is 1 stuffed animal and 5 balls.

Please help look at picture


round to the nearest tenth

Answers

I see that its a kuta software page. Search up the name of the topic at the top left and then at the end put kuta software. It works like a charm.

Which is a better deal 12.4 ounces for $4.99 or 21 ounces for $6.49?

Answers

Answer:

Getting 21 ounces for $6.49 is a better deal!

Step-by-step explanation:

4.99 / 12.4 = 0.402419...

6.49 / 21 = 0.30904...

0.4 is larger than 0.30 therefore 0.30 is less and a better deal.

Have an amazing day! ^-^

The ratio of x to 4 is not less than 9

Answers

Answer:

x/4 > 9

Step-by-step explanation:

Meg pounded a stake into the ground. When she attached a leash to both the stake and her dog’s collar, the dog could reach 9 feet from the stake in any direction. Using 3.14 for pi, what is the approximate area of the lawn, in square feet, the dog could reach from the stake.

Answers

The dog is able to run around in a circle with a radius of9 ft.

The area of a circle is A = pi r^2

A = (3.14) (9)^2

A= (3.14)(81)

A= 254.34 sq ft

Helpp worth 20 points!!
write the equation of the line below

Answers

Answer:

y = -x -2

Step-by-step explanation:

Answer:

-x - 2 = y

I hope this is correct :P

which of the following are some of the possible soulitions for the inequality -9w < -54

Answers

the answer

w < 6

Step by Step

-9w < -54

w < -54/-9

w< 6

Y-3=2(x+1)
Missing values?

Answers

The missing value for y is 3
Step-by-step explanation:
y−3=2(x+1)
We know that x=-1 and we want to solve for y
Put in x=-1
y-3 = 2(-1+1)
y-3 = 2(0)
y-3=0
Add 3 to each side
y-3+3 = 0+3
y =3

The measurement of Angle N is 64°. Which angle measurement is complementary to Angle N?
Select one:

36°

116°

90°

26°

Answers

Answer:

116°

Step-by-step explanation:

complementary angles add to 180 so

180-64= 116


Evaluate the function, find f(-2):
f(x) = 2x^2 +3x

Answers

Answer:

B) 2

Step-by-step explanation:

f(-2) = 2 * (-2)^2 + 3(-2)

f(-2) =  2 * 4 - 6

f(-2) = 8 - 6

f(-2) = 2

what is the solution to the equation below -5/4 x + 2/5 equals -13 / 30​

Answers

The answer is 2/3 I really hope this helps :)

Find 3 ratios that are equivalent to the given ratio. 4:15

Answers

Answer: 8:30, 16:60, 32:120

               

           

-6(2x - 6) - 4x + 7 Simplify the algebraic expression.

Answers

1.) -6(2x - 6) - 4x + 7
2.) -12x + 36 - 4x + 7
3.) -16x + 36 + 7
4.) -16x + 43

Answer:

− 1 6 + 4 3

Step-by-−

−6  ( 2 − 6 ) − 4 + 7

− 1 2 + 3 6 − 4 + 7

− 1 2 + 3 6 − 4 + 7

− 1 2 + 4 3 − 4

− 1 2 + 4 3 − 4

− 1 6 + 4 3

step explanation:

Distribute

Add the numbers

Combine like terms

Dom buys a stock option for $2500 that pays out 15% annual interest compounded monthly. What is Dom's balance after 6 years?​

Answers

Answer:

375

Step-by-step explanation:

The sum of the measures of two angles is 107.3º. One angle has a measure of 51º. What is the measure of the second angle?

Answers

Answer:

56.3°

Step-by-step explanation:

If the total is 107.3° just subtract 51° to get 56.3°

WILL GIVE BRAINLIEST

Answers

Answer:

the answer it's B we got the same test

PUT THE B

Answer:

mm option a is right

Step-by-step explanation:

bcz there is only 1 zero less in weight of elephant as compared to whale hope it may help u

Jerrold was playing around and created the following expressions for fun. Are they equivalent? How can you tell? 2x + 2 x + 1 + x + 1 2(x + 1)

Answers

It’s a because sleepy joe said so c b d 6

Dylan and Marcella decided to build a fence. Dylan worked alone for 2 hours. Marcella arrived, and they worked 1 hour together. Dylan left, and Marcella worked 1 hour alone. The fence was then ½ done. Individually, it takes Dylan 3 more hours to build a fence than Marcella. How long would it take Dylan and Marcella each to build the fence by themselves?

Answers

do you have a picture?

Which triangles are similar? I WILL GIVE BRAINLIEST!!!

Answers

Triangles A & B are similar

Answer:

A and B!!!

Step-by-step explanation:

Fred bakes 10 dozen cookies for the bake sale ( 1 dozen = 12 cookies) he makes the following type of cookies

1/2 of Fred’s cookies are chocolate chip
1/4 of Fred’s cookies are peanut butter
1/8 of Fred’s cookies are snickerdoodle
1/8 of Fred’s cookies are oatmeal raisin

How many chocolate chip cookies did Fred make?

How many peanut butter cookies did Fred make?

How many snickerdoodle cookies did Fred make?

How many oatmeal raisin cookies did Fred make?

Answers

Answer:

60 cookies are chocolate

30 cookies are peanut butter

15 cookies are snickerdoodle

15 cookies are oatmeal raisin

Step-by-step explanation:

how do i do number 2

Answers

Answer:

If you have a spinner spin it 2 times if u dont have one just use a virtual one on the internet

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

By spinning it once, you have a 1/3 chance to land on A. By spinning it again, you have another 1/3 chance to land on A. If you add 1/3 and 1/3, you get 2/3.


Find the missing dimension. Use the scale factor 1: 8.
Model length: 6 cm.
Actual length: ?cm.
What is the actual length

Answers

Answer:

9cm

Step-by-step explanation:if im wrong sorry

PLZ HELP ASAP WILL MARK U BRANLYEST... thanks:)

Answers

Step-by-step explanation:

Here we are going to use the Pythagoras theorem to get the Hight of the Television

[tex] {42}^{2} - {32}^{2} = x[/tex]

X Being the unknown side

[tex] {42}^{2} - {32}^{2} = 740 \\ x = \sqrt{740} = 27.2[/tex]

So the height is 27.2in

The Are of the screen would be L x B

27.2 x 32 = 870.2 in^2

We will use Pythagoras for the last question also

[tex] {40}^{2} + {32}^{2} = 2624 \\ \sqrt{2624} = 51.23[/tex]

She will need 51.23 in screen size

I need help

5th Grade: Module 2 - Lesson 23

please send me picture why bc i need do a division of that and show my work please help

Answers

Answer:

your

Step-by-step explanation:

account

DELETED :)

Enjoy the rest of your day lovebug, if helpful... dont hesitate to mark as brainliest! ;)

What is the soultion: 1/2x + 3/2 (x + 1) - 1/4 = 5? A. 5/2 B. 13/8 C. 15/8 D. 17/8

Answers

Answer:

C. 15/8 is the correct answer and the mixed form would be 1 7/8

Step-by-step explanation:

Given g(x)=-2x+2, solve for x when g(x)=8

Answers

Answer:

x=±3. Explanation: g(x)=2x2−10 g(x)=8. ie 2x2−10=8 2x2=18 x2=9 x=±3.

Step-by-step explanation:

x = -3
To solve this, first set -2x + 2 = 8

Now you want to try to get x alone on one side so subtract 2 on both sides
-2x = 6

Finally divide both sides by -2 to find out what x is equal to

x =-3

To check if this is the right answer, plug -3 in for x in the original equation and see if it comes out as 8

-2(-3) + 2 = 8
6 + 2 = 8
8 = 8

Both sides are equal so -3 is the solution

what is -17 + 12 + 15?​

Answers

Answer:

10

Step-by-step explanation:

-17 + 12 + 15

You can add 12 and 15 first because its easier.

-17 + 27

So now, basically you can look at it a different way and say:

27 - 17

And you could get:

Answer: 10

Evaluate the expression when a=4 and b=-3.
-a +4b

Answers

Answer:

-16

Step-by-step explanation:

-a +4b

By putting the value a = 4 and b = -3

= -(4) + 4 × (-3)

= -4 - 12

= -16 (Ans)

Sense we know the values of a and b all we need to do is fill them in the problem and solve it
So once you fill them in it would give you -4+(4•-3)
Then you would simplify the parentheses
-4+(-12)
After wards you would add these two numbers together and since they are negative it would appear for the number to be bigger even though it is getter quite smaller
So the answer to this expression would be
= -16
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