Three machines turn out all the products in a factory, with the first machine producing 30% of the products, the second machine 20%, and the third machine 50%. The first machine produces defective products 13% of the time, the second machine 9% of the time and the third machine 9% of the time. What is the probability that a non-defective product came from the second machine

Answers

Answer 1

Answer:

0.2027 = 20.27% probability that a non-defective product came from the second machine

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Non-defective product.

Event B: From the second machine.

Probability of a non-defective product:

100-13 = 87% of 30%(first machine)

100-9 = 91% of 20%(second machine)

100-9 = 91% of 50%(third machine).

So

[tex]P(A) = 0.87*0.3 + 0.91*0.2 + 0.91*0.5 = 0.898[/tex]

Non-defective and from the second machine:

91% of 20%. So

[tex]P(A \cap B) = 0.91*0.2 = 0.182[/tex]

What is the probability that a non-defective product came from the second machine

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.182}{0.898} = 0.2027[/tex]

0.2027 = 20.27% probability that a non-defective product came from the second machine


Related Questions

Convert x + 3y = 9 into slope-intercept form

Answers

Answer:

3y=-x+9

y=1/3x+3

Step-by-step explanation:

Find the 31st term of 405,397,389

Answers

Answer:

165

Step-by-step explanation:

1) the difference of the given sequence is:

d=397-405=389-397= -8.

2) common view of the formula of the 'n' term is:

a(n)=a(1)+d*(n-1), where n - required number of the given sequence, a(1) - the 1st term of the given sequence, d - the difference calculated above.

3) if to perform substitution (n=31; a(1)=405 and d= -8) into the formula above, then:

a(31)=405-8*(31-1)=405-240=165.

On in-line skates, Bradley skates 4 miles in 48 minutes. At this speed, how long would it take him to skate the entire length of a 12-mile bike path?

Answers

Answer:

144 minutes

Step-by-step explanation:

4 goes in 12 3 times so we have to do 48 times 3 too. Which is 144.

Answer:

Step-by-step explanation:

[tex]\frac{t}{12}=\frac{48}{4}\\ \\ t=144min[/tex]

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Answers

X = 68 is your answer hope this helps!

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Answers

itis 8 cause we added

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Answers

Answer:

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Step-by-step explanation:

180-75-75=30

Can someone help me, please??

Answers

Answer:

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Step-by-step explanation:

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will give brainliest!!​

Answers

Answer:

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Step-by-step explanation:

this is 100% correct. please mark me brainliest!

What’s the probability tree?

Answers

Answer:

The first event is represented by a dot. From the dot, branches are drawn to represent all possible outcomes of the event. The probability of each outcome is written on its branch.

Step-by-step explanation:

convert 131 57’ 32” to decimal degree

Answers

Answer:

131.95888888888888

Step-by-step explanation:

Your Welcome :)

How do I find the density? Harold is a woodworker and is interested in finding the density of two different types of wood. He bought a pine log that has a 5-inch radius and is 30 inches long. The weight of the log is approximately 42.63 pounds.

Answers

Answer:

The density of the pine log is 0.2842 pounds per inch.

Step-by-step explanation:

To calculate the density of an object, you must divide its mass by its volume (radius times height). Thus, given that the pine log that has a 5-inch radius and is 30 inches long, while its weight is approximately 42.63 pounds, the following calculation must be performed to determine its density:

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X = 42.63 / 150

X = 0.2842

Thus, the density of the pine log is 0.2842 pounds per inch.

A plumber charges $16 for transportation and $33 per hour for repairs.
Complete the expression that can be used to find the cost in dollars for a repair that takes h hours.
An expression that can be used to find the cost in dollars for a repair that takes h hours is
h.



Pleas Help

Answers

Answer:

16 + 33h = c

Step-by-step explanation:

16 dollars is the bare minimum, plus an additional 33 dollars every hour. If hours are represented by h and the cost is represented by c, we see that:

16 + 33h = c

Which situation about Sam's money could be described using the sum of -2.5 and -10?

A. Sam owes his dad $12.50
B. Sam earned $12.50
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Answers

Answer

C. Sam owes his dad $7.50

Step-by-step explanation:

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Answers

Answer:

294.64

Step-by-step explanation:

1 inch has 2.54 centimeters.

Answer:

The Answer is B: 16 Because 1 tile is 4 inches long and 4 tiles is 4x4=16

Step-by-step explanation:

Please Help
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Answers

Answer:

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Step-by-step explanation:

If A to C is 12x + 3, And A to B is 5x - 2 then you subtract the polynomials from each other!

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(If you still need help just tell me in the comments)

NEED ANSWERS FASSSTTT!!

Answers

Answer:

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Step-by-step explanation:

Hope this helps you out

Solve for y
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O 4y = -5x + 8
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Answers

Answer:

y= -5/4x+2

Step-by-step explanation:

probably wrong but it definitely is one of the bottom two answers

Answer:

yes is D. bk$kdknxnxnxncncncncncj

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answers

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Two of the most popular options on a certain type of new car are automatic transmission and built-in GPS. Suppose that 90% of all buyers request automatic transmission, 82% of all buyers request built-in GPS, and 77% of all buyers request both automatic transmission and built-in GPS. Hint: It may be useful to draw Venn diagrams for these. What is the probability that the next person to purchase this car will request at least one of automatic transmission or built-in GPS

Answers

Answer:

0.95 = 95% probability that the next person to purchase this car will request at least one of automatic transmission or built-in GPS

Step-by-step explanation:

We solve this question treating these probabilities as Venn sets.

I am going to say that:

Event A: Requesting automatic transmission

Event B: Requesting built-in GPS

90% of all buyers request automatic transmission

This means that [tex]P(A) = 0.9[/tex]

82% of all buyers request built-in GPS

This means that [tex]P(B) = 0.82[/tex]

77% of all buyers request both automatic transmission and built-in GPS.

This means that [tex]P(A \cap B) = 0.77[/tex]

What is the probability that the next person to purchase this car will request at least one of automatic transmission or built-in GPS

This is [tex]P(A \cup B)[/tex], which is given by:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

So

[tex]P(A \cup B) = 0.9 + 0.82 - 0.77 = 0.95[/tex]

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Answers

Answer:

160

Step-by-step explanation:

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Answers

Answer:

1/5

Step-by-step explanation:

u split evenly between five dogs so they will each get 1/5 of the bag

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Answers

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Answers

Answer:

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Step-by-step explanation:

15 ÷ 10 = 1.5 = 150%

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~!!!! HELP ME PLEASE IM IN 7TH GRADE AND LEARNING 9TH AND 8TH iM SUFFERING !!!!~
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Answers

this is what it looks like when I graphed it.

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Answers

Answer:

b

Step-by-step explanation:

Answer:

Answer is D.

Step-by-step explanation:

I hope it's helpful!

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