It is reported that 50% of all computer chips produced are defective. Inspec- tion ensures that only 5% of the chips legally marketed are defective. Unfortunately, some chips are stolen before inspection. If 1% of all chips on the market are stolen, find the probability that a given chip is stolen given that it is defective.

Answers

Answer 1

The required, probability that a given chip is stolen given that it is defective is approximately 0.019, or 1.9%.

To find the probability that a given chip is stolen given that it is defective, we can use Bayes' theorem. Bayes' theorem allows us to update the probability of an event based on new information.

Let's define the events:

A: A chip is stolen.

B: A chip is defective.

We are given the following probabilities:

P(B) = 0.50 (50% of all computer chips produced are defective).

P(B'|A) = 0.05 (inspection ensures that only 5% of the chips legally marketed are defective, which means 95% are not defective).

P(A) = 0.01 (1% of all chips on the market are stolen).

We want to find P(A|B), which is the probability that a given chip is stolen, given that it is defective.

Bayes' theorem states:

P(A|B) = (P(B|A) * P(A)) / P(B)

We can calculate P(B|A) as follows:

P(B|A) = 1 - P(B'|A) = 1 - 0.05 = 0.95

Now, let's plug the values into Bayes' theorem:

P(A|B) = (P(B|A) * P(A)) / P(B)

P(A|B) = (0.95 * 0.01) / 0.50

P(A|B) = 0.019

Therefore, the probability that a given chip is stolen given that it is defective is approximately 0.019, or 1.9%.

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Related Questions

Rewrite the equation using the distributive property



2(9x+4)

Answers

Answer:

18x+8

Step-by-step explanation:

distribute

2 x 9x = 18x

2 x 4 = 8

Hope This Helps!!

Classify each statement about the function f(3) = 323 +6 as true or false.

Answers

Answer:

true.

false

true.

false.

Step-by-step explanation:

1. The domain (x-value) of a function is (-∞, +∞) unless there is some reason for it not to be. No matter what we make x, we do not wind up with something forbidden in the real-number coordinate plane, like a zero denominator or a square root of a negative number, so the domain for x is all real numbers. True.

2. The statement says the range (the y-value) of the function must always be more than zero. There is no particular reason to belive that. If x = -10, then x³ + 6 = -1000 + 6 = -994, which is less that zero. False.

3. We get the y-intercept by making x equal zero. In tha case y = 0³ + 6 = 6. The y-intercept always has an x-coordinate of zero, so the point is (x, y) = (0, 6). True.

4. If a function has symmetry about the origin point, then replacing y with -y and x with -x will get you an equation equivalent to the original. let's try it.

-y = 3(-x)³ + 6    now lets see what happens it we let x = 2

For the original equation:   y = 3(2)³ + 6 = 3(8) + 6 = 24 + 6 = 30

Now we try the test equation:  -y = 3(-2)³ + 6 = 3(-8) + 6 = -24 + 6 = -18

                                               So   -y = -18

                                                So    y = 18

The first equation and the test equation are not equivalent, as they do not yield the same results for the same value of x.

Thus, the origin is not a point of symmetry. False.

I am attaching a picture of this function's graph so you can see the actual point of symmetry is (0, 6), which is also the y-intercept. I made it on Desmos dot com, which is free for everyone.

The Domain  = (-∞, ∞) and Range = (-∞, ∞), y-intercept occurs at (0, 6) and the origin is not a point of symmetry.

Domain, range, and y-intercept

Given the function [tex]f(x)=3x^3 + 6[/tex]

Domain and range are the value of input and output that the function exists.

For the given function, the domain and range exist on all real numbers.

Domain  = (-∞, ∞) and Range = (-∞, ∞)

The y-intercept occur at (x) = 0

g(0)= 3(0)^3 + 6

g(0) = 6

Hence the Domain  = (-∞, ∞) and Range = (-∞, ∞), y-intercept occurs at (0, 6) and the origin is not a point of symmetry. False.

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

Please help! Please help!

Answers

we can’t see the diagram

Answer:

I have seen this question before and I believe the answer is 94

Step-by-step explanation:

Hi everyone pls answer I will give you BRAINLEST!! Pls help

Answers

3 to the power of eight. Please mark as brainliest. Hope it helps.

A paper company produces 2,985 notebooks in 3 days. How many notebooks can it produce in 11 days?

Answers

Answer:

10080

Step-by-step explanation:

2985÷3=995×11=10080

Answer:

It can produce 32,835 in 11 days.

Step-by-step explanation:

2,985 x 3 =  8,955

2,985 x 3 = 8,955

2,985 x 3 = 8,955

If you add another three, that'll  be 12, so, we'll multiply 2,985 x 2.

2, 985 x 2 = 5,970

Now, Add all of those 4 numbers together,

8,955 + 8,955 + 8,955 + 5,970 = 32,835

what is -5xy and 8xy​

Answers

Answer:

3xy

Step-by-step explanation:

Answer10:

Step-by-step explanation:

10

What is the density of a 64-g iron cube that displaces 8 mil of water?

Answers

Answer: 8gml

Step-by-step explanation:

Hep solve this Geometry problem

Answers

Hint: the ratio of the shorter side of the median to the centroid to the longer side of the median to the centroid is 1:2
DC=16
CQ=8
FP=15
CE=14

3⁷×3-⁴ I need help asap!​

Answers

Hope it helps

Have a good day Ahead

Answer:

the answer will be 27

Step-by-step explanation:

how many ways can 60 baseball cards be arranged in rows containing the same number of cards?

Answers

Answer:

10 ways, 6 in each pile

or 6 ways, 10 in each pile

Step-by-step explanation:

A study shows that unemployment has not impacted white-collar and blue-collar workers equally (Newsweek, April 20, 2009). According to the Bureau of Labor Statistics report, while the national unemployment rate is 8.5%, it is only 4.3% for those with a college degree. It is fair to assume that 27% of people in the labor force are college educated. You have just heard that another worker in a large firm has been laid off. What is the probability that the worker is college educated

Answers

Answer:

0.137

Step-by-step explanation:

The computation is shown below:

Educated = 0.27

And, unemployed to educated is 0.043

Now probability of educated and unemployed is

= 0.043 × 0.27

= 0.1161

So, the educated would be

= 0.01161 ÷ 0.085

= 0.137

Which expression is equivalent to 18 - 20
O 18+(-20)
18 - (-20)
-18 + 20
- 18 - 20

Answers

A. 18 + (-20)

Hope this is right

answer: a. 18 + (-20)

explanation: adding a negative is the same as subtracting a positive

Which of the following is the graph of f(x) = -0.5|x + 31-2?

Answers

Answer:

0.5x+ 29

Step-by-step explanation:

collect like terms 0.5x+(31-2)

simplify 0.5x+29

!!!!!!!please help!!!!!!!!

Answers

Answer:

The first one is No. The second one I do not know unfortunately.

Step-by-step explanation:

I am in the middle of this lesson in my math class as well and I know that in order to make a triangle, you need the two smaller sides to add up to become larger than the biggest side. In the case of the first question, the two smaller sides, 6 and 3 equal 9, which is not bigger than the biggest side which is 10. I hope you can find the answer to the second one, but for now, the first one is No.

Simplify (2b+9)+(13+5b)

Answers

The answer is because i combined the liked terms 7b+22

Jamal has 15 to spend at the concession stand. hey buys nachos for 7.50 and he wants to purchase some sour straws for a 1.50 each. how many sour straws can Jamal purchase with the money he has left​

Answers

5 sour straws

$15 - 7.50= 7.50

7.50 / 1.50 = 5

Answer:5

St5ep-by-step explanation:

FAST PLS

Mary bought 10 1/2 pounds of turkey for a picnic. There were 4 3/4 pounds of turkey left after making 25 turkey sandwiches. Which statement is true?

A The quotient −534÷25=−23100 means the average change in the total amount of turkey decreased by 23100 pound per sandwich.

B The quotient −534÷25=−23100 means the average change in the total amount of turkey increased by 23100 pound per sandwich.

C The quotient 534÷25=23100 means the average change in the total amount of turkey decreased by 23100 pound per sandwich.

D The quotient 534÷25=23100 means the average change in the total amount of turkey increased by 23100 pound per sandwich.

Answers

Answer:

HEYO!! soo the answer is A!! I tried B like the other person said but i got it wrong! so its A!

Step-by-step explanation:

Option A is correct. The quotient −534÷25=−23100 means the average change in the total amount of turkey decreased by 23100 pound per sandwich.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given that Mary bought [tex]10\frac{1}{2}[/tex] pounds of turkey for a picnic.

There were [tex]4\frac{3}{4}[/tex] pounds of turkey left after making 25 turkey sandwiches.

We need to find which statement will be true from the given options.

The solution we get by using the division process.

Division is nothing but splitting something to equal parts.

The quotient −534÷25=−23100 means the average change in the total amount of turkey decreased by 23100 pound per sandwich is the true statement.

Hence, Option A is correct. The quotient −534÷25=−23100 means the average change in the total amount of turkey decreased by 23100 pound per sandwich.

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I WILL MARK BRAINLIEST :) Determine which segment is shortest in the diagram.

Answers

Answer:

C.

Step-by-step explanation:

Answer:

C. Segment AC

Step-by-step explanation:

I am going to figure all the angles first. Triangles always add up to 180 degrees so I am going to use that.

50 + 49 = 99

180 - 99 = 81

<C = 81°

99 + 37 = 136

180 - 136 = 44

<A = 44°

The shortest segment is always going to be opposite the smallest angle. The smallest angle is 37°. Therefore, Segment AC is the shortest.

choose the fraction that is greater than 3/18, is less than 50/100, and has 9 as it denominator ​

Answers

Answer:

3/9 or 4/9

Step-by-step explanation:

Happy Paws charges $16.00 plus $3.50 per hour to keep a dog during the day. Woof Watchers charges $11.00 plus $4.75 per hour. Complete the equation and solve it to find for how many hours the total cost of the services is equal. Use the variable h to represent the number of hours.

Answers

Answer:

First, set up equations for total cost for both Happy Paws and Woof Watchers.

x= number of hours

y= total cost

Happy Paws

y=3.50x +16

Woof Watchers

y=4.75x+11

4.75x+11=3.50x+16

x=4

You can check your answer by doing the following:

Happy Paws: (3.50)(4)+16= 30

Woof Watchers: (4.75)(4)+11= 30

What is 3 divided by 3 and 1/4

Answers

Answer:

3/3/14=0.92307692307

Step-by-step explanation:

3 and 1/4 is 3.25 so 3/3.25

now we need to estimate which is maybe either 0.92 or 0.923

pls give brainliest i haven't got one

hope this helps!

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Answers

Answer:

k

Step-by-step explanation:

can i have branliest answer for no reason and god bless u

Answer:

period

Step-by-step explanation:

Students are asked to simulate picking their favorite color from a list of six different colors. Which of the following devices could be used to simulate choosing a favorite color? Select all that apply.
A coin flipped once
B One spin on a spinner with four equal sections
C A number cube
D Pieces of paper with each color on exactly one piece
E A random number table

Answers

Answer:

Step-by-step explanation:

A number cube has six sides so that would work rolling a die.. Also six pieces of paper drawn randomly without looking would work.

A restaurant customer left ​$1.80 as a tip. The tax was 7% and the tip was 20​% of the after-tax cost. What was the total​ bill?

Answers

Your answer is

Assume that total bill = x,

tax was 7 % and tip( 1.8) was 20% of ( tax + bill)

equation : ( x+0.07x)*0.2= 1.8

so, 1.07x= 9

Total bill= 8.41

Want more answer then follow me, like and MARK MY ANSWER AS BRAINLIST ANSWER.

I need that urgently.

PLZZ HELP I WILL GIVE YOU 30 POINTS!!!!!


Answers

7 cheese:8
7 pepperonis:3
7 veggie:1
8 cheese:4
8 pepperoni :5
8 veggie:3

DJ Ali is making a playlist for a friend; she is trying to decide what 99 songs to play and in what order they should be played. If she has her choices narrowed down to 1616 blues, 2323 country, and 1515 jazz songs, and she wants to play an equal number of blues, country, and jazz songs, how many different playlists are possible

Answers

Answer: 1.637 x 10¹⁴ different playlists

Step-by-step explanation: Since DJ Ali needs to choose 9 songs and wishes that the number of blues, country and jazz songs are the same, she needs to pick 3 songs of each type. The total number of ways she can choose the songs, without considering their order is:

The number of possible ways of ordering those nine song is:

There are 1.637 x 10¹⁴ different possible playlist.

Answer:

If she wanted to play 99 songs and play an equal amount of  blues, country, and jazz she would play 33 songs from each category.

33 blues

33 country

33 jazz

= 99 songs

Step-by-step explanation:

Imagine having all things

Answers

Answer:

things would be abit boring if you had everything tbh

Step-by-step explanation:

A triangle with vertices at A (20, -30), B (10, -15) and C (5, -20) has been dialted with a center of dialation at the origin. The image of B, point B' has the coordinates (2, -3). What is the scale factor of the dilation?

Answers

Answer:

Scale factor: 1.8

Step-by-step explanation:

AB' = √(20-2)² + (-30 - -3)² = √1053 = 9 √13

AB = √(20-10)² + (-30 - -15)² = √325 = 5 √13

AB' / AB = 9 √13 / 5 √13 = 9/5 = 1.8

Can someone please help need it urgently will give brainliest to first answer

Answers

Answer:

Step-by-step explanation:

[tex]1220+92a\ge 8000[/tex]

Plz help mee
A. 49.75
B.74.75
C.156
D.1196

Answers

Answer:

B: 74.75

Step-by-step explanation:

If four roommates (I don't know how to spell it) want to divide the prize of a computer which costs 299 is the same as: 299/3 which gives you 74.75

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