A manufacturing facility is responsible for producing two components that are produced at states 1 (poor), 2 (below average), 3 (average), 4 (good), and 5 (excellent). For the final product (con- sisting of both components) to be acceptable the sum of the two states needs to be at least equal to 6. At the moment, the manufacturing processes are random, and hence each component is equally likely to be at any of the 5 states. Answer the following questions.

Required:
a. What is the probability that a final product is acceptable? What is the probability that a final product is unacceptable?
b. What is the probability that a final product is acceptable given that the first component is produced at a state of 2?
c. What is the probability that the second component was produced at a state of 3 given that the final product is acceptable?

Answers

Answer 1

Answer:

a) i) P( final product is acceptable ) = 3/5

   ii) P ( final product not acceptable ) =  2/5

B)  P (  final product is acceptable | X =2 ) = 2/5

C)  P ( Y = 3 | Final product is acceptable ) = 2/5

Step-by-step explanation:

Given data :

5 states : 1 (poor), 2 (below average), 3 (average), 4 (good), and 5 (excellent)

Number of components produced = 2

X ( component 1 ) ∴ P(X) = 1/5

Y ( component 2 ) ∴ P(Y) = 1/5

Aim : Sum of Final product needs to be ≥ 6

A) Probability of a final product been acceptable and also unacceptable

P( final product is acceptable ) ; P(X + Y ≥ 6 )

= 1/5 ∑ P( Y ≥ 6 - x )

= 1/5 ( P( Y ≥ 5 ) + P( Y ≥ 4 ) + P( Y ≥ 3 ) + P( Y ≥ 2 ) + P( Y ≥ 1 )

= 1/5 ( 1/5 + 2/5 + 3/5 +4/5 + 1 )

= 3/5

P ( final product not acceptable ) = 1 - 3/5 = 2/5

B) P (  final product is acceptable | X =2 )

 ∴ P ( Y ≥ 4 )

   = 2/5

C) P ( Y = 3 | Final product is acceptable )

∴ P ( X ≥ 3 ) ≠ P( Y ≥ 3 )  ( because they are not independent )

  = 1 - 3/5 = 2/5.


Related Questions

Polly had 5 times as many red balloons as many red balloons as blue ones. She had 18 all together. How many of her balloons were blue ones?

Answers

Answer: 3 were blue

Step-by-step explanation:

Blue  + Red  =   18....so.....

B  +  5B  =  18

6B  =  18

B   =18 /   6    =    3  blue

Francine is playing a board game with her friends. She needs to roll two dice
and get a total greater than ten to win the game on the next roll. What is the
probability that she will not win on the next roll?

Answers

10/12 = 5/6 probability that she will not win on the next roll

y : 11 = 27 : 33 what is y

Answers

9514 1404 393

Answer:

  y = 9

Step-by-step explanation:

Corresponding parts of the proportion have the same ratios. We notice that 33 is 3 times 11, so 27 is 3 times y.

  y = 27/3 = 9

5
Select the correct answer.
Which number has a repeating decimal form?
A. 15
OB.
11
25
3
20
C. D.
2
ODIN

Answers

Answer:

C=6.6666666666666666666666666

Answer:

[tex]D.\frac{2}{6}[/tex]

Step-by-step explanation:

√15 = 3.87298334621

11/25 = 11 ÷ 25 = 0.44

3/20 = 3 ÷ 20 = 0.15

2/6 = 2 ÷ 6 = 0.33333333333

You select 13 cards without replacement from a standard deck of 52 cards. What is the probability that you get 4 aces

Answers

Given :

You select 13 cards without replacement from a standard deck of 52 cards.

To Find :

The probability that you get 4 aces.

Solution :

Since, it is given that we need to select cards without replacement.

Probability of getting 4 aces is :

[tex]P = \dfrac{1}{52}\times \dfrac{1}{51}\times \dfrac{1}{50} \times \dfrac{1}{49}\times 4!\\\\P = 3.693 \times 10^{-6}[/tex]

Hence, this is the required solution.

How would you write5 x 5 x 5 x 5 as a numerical expression using exponential notation ?

Answers

5^4 but on a screen the 5 would just have the 4 over it

Using the exponential notation, the correct expression which represents 5 × 5 × 5 × 5 is 5⁴

Given tha expression :

5 × 5 × 5 × 5

Number of 5's = 4

The number of 5's can be used as the power of the base, since the base is common.

Base = 5

Hence,

5 × 5 × 5 × 5 = 5⁴

Learn more : https://brainly.com/question/25629067

Please help with this thank you! :)

The following image shows the construction of segment RS.Based on the steps shown to create that construction,which type linenis RS?

A- Median
B-Midsegment
C-Altitude
D- Skew​

Answers

Answer:

A) Median

Step-by-step explanation:

A median joins the midpoint of a side and the opposite vertex.

Can someone please help?

Answers

Answer:

1515

Step-by-step explanation:

Plz help me well mark brainliest if correct

Answers

Answer:

61 seconds

Step-by-step explanation:

Answer:

23 seconds

Step-by-step explanation:

The slowest time is 23 second and the fastest time is 61 seconds

The time before the bar is the tens place and each time after the bar is the ones place

YALL PLEASE HELP ME ASAP

Answers

Answer:

B

Step-by-step explanation:

Depreciates 14% per year so 100% - 14% is 86% or 0.86. Formula is (principal)(rate)^ years

djd she’s djd djd she she when d ene

|x-4| if x>4
can you please help me

Answers

Answer:  x - 4  without the absolute value bars surrounding it

=================================================

Explanation:

If x is larger than 4, then x-4 is positive. For example, if x = 5, then

x-4 = 5-4 = 1

So for cases when x > 4, the |x-4| and x-4 are the same identical expression. Try out more values of x to compare the two outputs. I recommend making a table with 3 columns. You'll have x in column 1, then |x-4| in column 2, and x-4 in column 3. You should find that the outputs for columns 2 and 3 are identical when x is larger than 4.

It's only when x < 4 is when |x-4| and x-4 differ. Instead we would say |x-4| = -(x-4). But we aren't focused on this case.

In short, when x > 4, we simply drop the absolute value bars to get the answer  x - 4

The question is in the picture (Alegbra 1)

Answers

Answer:

[tex]\frac{s}{s-4}[/tex]

Step-by-step explanation:

Given

[tex]\frac{s^2+6s}{s^2+10s+24}[/tex] ÷ [tex]\frac{s-4}{s+4}[/tex] ( factor and simplify fraction on left )

= [tex]\frac{s(s+6)}{(s+4)(s+6)}[/tex] ÷ [tex]\frac{s-4}{s+4}[/tex] ← cancel (s + 6) on numerator/ denominator

Leave first fraction, change division to multiplication, turn second fraction upside down

= [tex]\frac{s}{s+4}[/tex] × [tex]\frac{s+4}{s-4}[/tex] ← cancel (x + 4) on numerator/ denominator

= [tex]\frac{s}{s-4}[/tex]

find the difference below as a fraction 6/2_7/7​

Answers

Answer:

2

Step-by-step explanation:

[tex]\frac{6}{2}[/tex] - [tex]\frac{7}{7}[/tex]        First simplify each fraction

[tex]3[/tex] - 1        Then solve

2            Final answer

In the diagram, AFGH-AXYZ.
G
X
14
16
10
Y
H
40
4
Z
*not drawn to scale
What is the length of XY?
O A. 20
B. 35
C. 40
D. 56

Answers

Answer:

the answer is 40 ..........

Which fraction equal to 0.34

Answers

Answer:

17/50

Step-by-step explanation:

.34 is thirty four hundredths

This means 34/100

Simplifying by dividing the top and bottom by 2

17/50

Answer:

17÷50

Step-by-step explanation:

0.34

= 0.34/1      

= (0.34 × 100) ÷ (1 × 100)

= 34/100

= (34)

÷(100)                     (you can divide by 2)

= 17÷50

Hadley is driving to Colorado. She has been traveling for 4 hours, and she has driven 260 miles. Find her speed in miles per hour.

Answers

[tex]hey \\ 260miles \: in \: 4 \: hours \\ how \: many \: miles \: per \: hour = \\ 260 \div 4 = 65miles[/tex]

what is the length of the hypotenuse?

please help!

Answers

Answer:

34

Step-by-step explanation:

Hypotenuse is the longest side

I hope this helped have a great day

what is the circumference of a circle with a diameter of 13 inches? round to the nearest hundredth.

Answers

Answer:

40.84 to nearest hundredth.

Step-by-step explanation:

C = pi * d

= pi * 13

= 40.8407

The table shows the ages of children in the Eliason family.
A:6
B:10
C:11
D:16​

Answers

Answer:

The answer is B and BTW AMC STOCKS ARE RISING

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

A company has found that for every 100 cans they have a misprint on 2 cans. if they produce 21850 cans per day how many cans should they predict to have misprint in a day

Answers

Answer:

437

Step-by-step explanation:

21850/100 * 2 = 437

Guys please help do I multiply or divid & which number will I be diving w or multiply

Answers

Answer:

1. a) $24, b) $36, c) $48

2. a) $18, b) $27, c) $36

3. a) $1.64, b) $2.46, c) $3.28

5. a) $30, b) $50, c) $70

6. a) $4.05, b) $6.75, c) $10.80

7. a) $14.85, b) $24.75, c) $39.60

Explanations:

Whatever we multiply the item by, we multiply the cost by. If we double the number of socks, we double the price. If we triple the number of socks, we triple the price.

1. a) 3 costs $12, and 3 x 2 = 6, so we do the same to the price: $12 x 2 = $24

b) 3 times 3 is 9, so 3 x 12 gives you that cost, $36

c) 3 x 4 = 12, so 12 x 4 = $48

2. a) 3 pairs is $9, and we need 6 pairs. 3 x 2 = 6, so we also multiply the price x 2 = $18

b) 3 x 3 = 9 pairs, multiply the cost times 3 as well. 9 x 3 = $27

c) 3 x 4 = 12, multiply the cost x 4. 9 x 4 = 36

3. 4 apples cost $0.82

a) 4 x 2 = 8 apples, $0.82 x 2 = $1.64

b) 4 x 3 = 12 apples, $0.82 x 3 = $2.46

c) 4 x 4 = 16 apples, $0.82 x 4 = $3.28

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

The concept is the same for all the other questions as well. Please comment below if you need a different explanation to understand this. :)

4. $4.50 for 2 pens
A. $9.00
B. $13.50
C. $18.00

8. $4.25 for 3 ice cream cones
A. $12.75
B. $21.25
C. $38.25

I saw your questions in the comments. Your lesson is probably about unit rates and just use the same technique the person above me did! Its pretty easy tho.

Have a nice day! At least give my answer a thanks.

Corey had 13 out of 15 answers correct on his math test.
He had 17 out of 20 answers correct on his language test.
On which test did Corey have a better score?​

Answers

Answer:

Corey have a better score on his math test

Step-by-step explanation:

13/15 = 86%

17/20 = 85%

turn the scores into percentage and you will get the answer

PLEASE HELP IM BEGGING PLEASEEEE SEE ATTACHED DOCUMENT

Answers

Answer:

Step-by-step explanation:

5.

3x-1 = 4x+13

-1=x+13

12=x

3(12)-1

36-1

Answer: 35

Second 5.

I'm not completely sure what this is referring to (please tell me if there is another part for this because there isn't any numbers such as <1 shown on the picture.)

6.

90+40+x=180

130+x=180

50=x

Answer: 50

7.

x+71=90

x=19

Answer: 19

Pleaseeeeee help meeee

Answers

Answer:

I'm pretty sure its C

Step-by-step explanation:

Move the point P two steps right. The original coordinates of P were (2,5)  moving the point 2 units right increases the X value (X,Y) by 2 units, making it (4, 5)

Which symbol correctly compares the two angles? pi 3 \ 60^

Answers

Answer: =

Step-by-step explanation: just took the test

We will see that both angles are actually the same one (but in different units) so the symbol that we need to use is the equal symbol.

Which symbol correctly compares the two angles?

Here we have two angles, one in degrees and  the other in radians, we want to compare them. To do it, we will need to write both of the angles in the same units.

The angles are:

pi/3 rads

60°

First, remember that:

pi rads = 180°

1 rad = (180°/pi)

With this, we can change the units of the first angle to get:

pi/3 rads = pi/3*(180°/pi) = 180°/3 = 60°

So both angles are actually the same angle, then the symbol that correctly compares them is the equal symbol.

pi/3 rads = 60°

If you want to learn more about angles, you can read:

https://brainly.com/question/17972372

Fraccion decimal de -8,6

Answers

Answer:

− 1.  ¯3

Step-by-step explanation:

plz help meeeeeeeee :)

Answers

Answer:

SAS, cuz an angle and 2 of it's adjacent sides are given for each triangle that makes them congruent.

Hope this helps!

all the prime numbers between 1 and 30​

Answers

Answer:

2,3,5,7,11,13,17,19,23,29

Step-by-step explanation:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29.



Hope this helped (:

Anna and Henry are raking their yard. Anna has raked 5/12 of the yard and Henry has raked 4/9 of the yard. What fraction of the yard still
needs to be raked?

Answers

Answer:

Step-by-step explanation:

The raked portion is 5/12 plus 4/9, or (applying the LCD, 36),

20/36 + 24/36.

The sum of these two fractions is 44/36, or 1/9.

1/9 of the yard remains to be raked.



Can someone explain too please

Answers

Answer:

Answer = A.)10

Step-by-step explanation:

The median for test A is 30 and the median for test B is 40. So you take the bigger number and subtract it by the smaller number to get the difference. 40-30 = 10

the answer to ur question is A
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