There are three companies that produce a critical electronic navigation component (ENC) used in the aerospace industry. These companies are Alice Manufacturing, Byte International, and Cognizant Technologies. Alice makes 85% of the ENCs, Byte makes 10%, and Cognizant makes the remaining 5%. The ENCs made by Alice have a 2.5% rate of defects, the ones made by Byte have a 4.0% rate of defects, and the ones made by Cognizant have a 6% rate of defects. If an ENC is randomly selected from the general population of ENCs, the probability that it was made by Alice is _______. If this ENC is later tested and found to be defective, the probability that it was made by Alice is _______.

Answers

Answer 1

Answer:

a

  [tex]P(A) =  0.85[/tex]

b

  [tex]P(A | D)  =  0.7522 [/tex]

Step-by-step explanation:

From the question we are told that

  The percentage of ENC made by Alice is P(A) 85% = 0.85

  The percentage of ENC made by Byte P(B) 10%=0.10

  The percentage of ENC made by Cognizant P(C) =  5%= 0.05

 The percentage rate of defect of ENC made by Alice is  p  =  2.5 %  =  0.025

  The  percentage rate of defect of ENC made by  Byte is  q =  4.0% = 0.04

 The  percentage rate of defect of ENC made by Cognizant  r =  6% =0.06

 

Generally the probability that a randomly selected ENC will be made by Alice is  

  [tex]P(A) =  0.85[/tex]

Generally the probability that a randomly selected ENC that was found to be defective will be made by Alice is

        [tex]P(A | D)  =  \frac{P(A) *  p}{P(D)}[/tex]

Here

    [tex]P(D)[/tex] is the probability that a randomly selected ENC will be defective and this is mathematically represented as

       [tex]P(D) =  P(A) *  p  +  P(B) *  q  +  P(C) *  r[/tex]

=>     [tex]P(D) =  085 *  0.025   +  0.10  *  0.040  +  0.05  *  0.06[/tex]

=>     [tex]P(D) =  0.02825 [/tex]

So

      [tex]P(A | D)  =  \frac{ 0.85 * 0.025 }{0.02825}[/tex]

=>    [tex]P(A | D)  =  0.7522 [/tex]


Related Questions

Evaluate the expression when x = 12 and y = 2.

x above 3y

38
2
125
8

Answers

x/3y

12/3(2)

12/6

2!!!!!!

Question 5 of 8 -
Eureka Math G5 EOMI Assessment (2020-2021)
Which choice is a reasonable product for the expression 8 x 2.48 ?
O 1.984
19.84
198.4
0 1984
Explain why your choice is correct using words and numbers.

Answers

Answer:

8 x 2.48 = 19.84

Step-by-step explanation:

We need to find the product for the expression 8 x 2.48.

First no is 8 and second no is 2.48

Product means to multiply.

We can write 2.48 as [tex]\dfrac{248}{100}[/tex]

i.e.

[tex]8\times \dfrac{248}{100}\\\\=\dfrac{1984}{100}[/tex]

Now, apply decimal after 9. So,

8 x 2.48 = 19.84

Hence, the correct option is (b).

Easy 7th grade math help me plz

Answers

Answer:  -1

....................

during a snowstorm snow falls are you concentrating is recorded by material is potato spot in the graph below ​

Answers

Answer:

i-what?

Step-by-step explanation:

Write the sum as the logarithm of a single expression. Assume that variables represent positive numbers.
log68+log6z
both 6 are exponents on the bottom.
please help.

Answers

Answer:

6z log 6

Step-by-step explanation:

Use of property

log ab = log a + log blog a^b = b log aGivenlog 6^8 + log 6^zSolutionlog 6^8 + log 6^z =log (6^8*6^z) =log (6^6z) =6z log 6

a table cell phone 33% off the sale price is $536 ​

Answers

Answer:

Its new price is 176.88

Step-by-step explanation:

change the 33% to a decimal (.33) then multiply the decimal with the 536

looks something like this:

  536(.33)

then solve.

Hopes this helps.

Over spring break, Shane works as a lifeguard at his community pool.He works 16.25 hours every week of his 2-week break. He puts
2
5
of his earnings toward a new computer. If he makes $13 per hour, how much money does he save for his computer?

Answers

Answer:

$169

Step-by-step explanation:

Multiply 16.25 x 2 so you can find how many hours he worked

32.50 hours, so now you multiply that by 13 so you know how much money he earned

$422.50, so now you multiply 2/5 x 422.50

Your answer will be 169 dollars

Answer:

169

Step-by-step explanation:

Determine which scenario could be found using P(A) = (5C2)(8C1)/13C3

Answers

It’s gonna have to be 5c2

Answer:

C) Probability of choosing two male and one female committee members from a group containing five men and eight women.

Step-by-step explanation:

correct on edge

The question is in the picture attached to this. Here are the answer choices somebody help quick please
a. (x,y)➡️(-x,-y)
b. (x,y)➡️(-x,y)
c. (x,y)➡️(x,-y)
d. (x,y)➡️(y,x)

Answers

Answer:

c

Step-by-step explanation:

Since the image was created by reflecting across the x-axis,

that means that the original triangle was in the fourth quadrant

the image however is in the first quadrant

the coordinates of something in the fourth quadrant is (x, -y)

the coordinates of something in the first quadrant is (x, y)

so the answer is "c" since (x, -(y)) = (x, -y)

f(x) = 2x + 7 - x^2 over 4

f(2) = ?

Answers

f(x) = [tex]\frac{2x + 7 - x^2}{4}[/tex]

f(2) just means we substitute 2 in for x.

f(2) = [tex]\frac{2(2) + 7 - (2)^2}{4}[/tex] = [tex]\frac{4 + 7 - 4}{4}[/tex] = [tex]\frac{7}{4}[/tex]

35 is what percent of 50?

Answers

Answer:

17.5

Step-by-step explanation:

35% of 50 is 17.5

A woman standing on a large rock at the edge of a lake is getting ready to swing from a rope that is tied to a branch that hangs over the water. The length of the rope the woman is holding is 7.4 m long. The woman hopes to land in the water at a point that is 11.8 m away from where she stands on the large rock. The angle between the point where the rope is tied and her landing spot in the water is 79°. What is the distance between the the point where the rope is tied and the point where she wants to land to the nearest tenth of a metre

Answers

Answer:

answer is 7.9 will 2 by 2 9 routing reading swimming on a rope and length to 1188 answer is land to hoga tomato hoga to answer to yahi hai gana

The difference of two numbers is 12 while their product is 45. Find all
such numbers

Answers

15 and 3
If you multiple 15 and 3 it will get you the product of 45
The difference is 12 of the two numbers

Which pair of angles must be supplementary?
2
1
5
3
4
o 1 and 5
0 5 and 3
04 and 5
O 4 and 1

Answers

it would be 4 and 5 since those are two angles whose measures have a sum of 180.
The correct answer is C. angle 4 and angle 5

Mrs. Davis earns $100 per week plus 6% commission on all of her sales. If she sells a house this month worth $120,000, what is her total income for the month (Assume 4 weeks = 1 month)?

Answers

Answer:

$7600

Step-by-step explanation:

total income = 120,000(.06)+100(4)

total income= 7200+400

total income = 7600

.

which one ? Help please fast

Answers

I think it would be number 1

What is −5/6÷9/10? DO YOU LIKE CHEESE?


−27/25


−4/3


−25/27


−3/4

Answers

Answer:

− 25 /27

Step-by-step explanation:

Answer:

-25/27

Step-by-step explanation:

get fraction calculator plus very helpful on Android and Apple

A delivery company is logging the number of miles each employee drives each day. The company found an average of about 85.6 miles. Assume that the standard deviation is 9.85 miles and that a random sample of 50 drivers was used to determine the average. Which statements are true about this situation?

The 99% confidence interval is from about 81.43 to 90.58 miles.
The 95% confidence interval is from about 82.87 to 88.33 miles.
The margin of error for 99% confidence is about 3.59 miles.
The sample isn’t large enough to use a normal distribution.
The margin of error for 95% confidence is about 2.52 miles.

Answers

Answer:

B. The 95% confidence interval is from about 82.87 to 88.33 miles.

C. The margin of error for 99% confidence is about 3.59 miles.

Step-by-step explanation:

No cheese detected or anything hehehe

1) Refer to the relation below to answer the following questions:
(a) What is the domain of the relation?
(b) What is the range of the relation?
{(-1,7),(0,5),(2,5),(5,6)}

Answers

a. {-1,0,2,5}

b. {7,5,5,6}

What is the square root of -1

Answers

Answer:

i

Step-by-step explanation:

Miguel has 22 cans of regular soda and 99 cans of diet soda. If he decides to sell it by package with the same number of regular soda and diet soda in one pack without leaving one, how many equal packages can he make? How many of regular soda and diet soda in one package?

Answers

3 regular sodas and 1 diet

The local office supply store charges $0.08 per page to make photocopies. Lionel paid $20.00 for a set of copies. How many pages did Lionel have copied?

Answers

Answer:

250

Step-by-step explanation:

You do 20/.08 to get 250.

Answer:

2.5

Step-by-step explanation:20/8=2.5

What is the value of this expression when x=-1 and Y = 2?
4x3y2

Answers

Answer:

-48

Step-by-step explanation:

4 x -1= -4

3 x 2= 6

-4×6= -24

-24×2= -48

Can someone help me answer this

Answers

Monday 4hours and 30minutes were worked

do 12-8 then take the thirty minutes and add it on to the difference

because that is the time she is working

happy to help plz mark brainliest

Plzzz help meeeeeeee

Answers

The correct answer is x = 2.

The local monsters are currently throwing a bash
known as the Monster Mash. At the beginning of the
party, there were 5 monsters attending. At the end
of the party there were 225 monsters. If an average
4 monsters came to the bash every minute of the
party, how long did this Graveyard Smash last?

Answers

Answer: 55 minutes

Step-by-step explanation:

First, you would have to subtract 5 from 225 because there are already 5 monsters there.

225-5= 220

Next, you would have to divide 220 by 4 to find the amount of minutes.

220/4= 55

Michael and four friends went trick-or-treating in his neighborhood they collected 525 pieces of candy if they split the candy evenly how many pieces of candy did each person get

Answers

Answer:

131.25

Step-by-step explanation:

Each of them would get 105 candies, as they are 5 in total.

Given that,
Michael and four friends went trick-or-treating in his neighborhood they collected 525 pieces of candy if they split the candy evenly how many pieces of candy did each person get is  to be determined.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

here,
Total number of candies = 525
Total person = 5
Each of them get = 525 / 5 = 105

Thus, each of them would get 105 candies, as they are 5 in total.

Learn more about arithmetic here:

https://brainly.com/question/11424589

#SPJ1


a-2=3+6a/3

What’s the value of a?

Answers

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Linear Algebra

a-2= 3+6a/3

=> 3(a-2)= 3+6a

=> 3a-6= 3+6a

=> -6-3=6a-3a

=> -9=3a

hence, a=-3

The Jacuzzi in Anna and Tamara's room is octagonal in shape (eight sides).
The top and bottom of the base of the Jacuzzi is 3x + 2,
the other six sides are 2r. Write an expression that
represents the perimeter of the base of the Jacuzzi."

Answers

Answer:

people place anf things fom different sources from different people

Answer:

18x+4

Step-by-step explanation:

add all the sides to get the perimeter 2 +2+2+2+2+2 =( 12) 3x+2 +3x+2=(6x+4) Make the expression 12x+6x+4 add 12+6= gives you 18x+4

Solve the inequality

Answers

Answer:

x is greater than or equal to 3

Step-by-step explanation:

4x-5>7 (equation)

4x>12 (add 5 to both sides)

x>3 (divide both sides by 4)

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