1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
PolarNik [594]
3 years ago
5

At a production process, the produced items are tested for defects. A defective unit is classified as such with probability 0.9,

whereas a correct unit is classified as such with probability 0.85. Furthermore, 10% of the produced units are defective. Compute the conditional probability that a unit is defective, given that is has been classified as such.
Mathematics
1 answer:
Snezhnost [94]3 years ago
6 0

Answer:

We use Baye's theorem:  P(A)P(B|A) = P(B)P(A|B)

with (A) being defective and

(B) marked as defective

we have to find P(B) = P(A).P(B|A) + P(¬A)P(B|¬A). .......eq(2)

Since  P(A) = 0.1 and P(B|A)=0.9,

P(¬A) = 1 - P(A) = 1 - 0.1 = 0.9

and

P(B|A¬) = 1 - P(¬B|¬A) = 1 - 0.85 = 0.15

put these values in eq(2)

P(B) = (0.1 × 0.9) + (0.9 × 0.15)

       = 0.225 put this in eq(1) and solve for P(B)

P(B) = 0.4

You might be interested in
Write and expression for the phrase, "8 less than k".
neonofarm [45]

Answer: k - 8

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
I need help with 7 and 8
Arte-miy333 [17]
7. q+18 =22
q+18-18 =22-18  , q=4   
 at the problem q+18-18=22+18 mistake (should be subtracted from both sides) 

8. r+10-10=22-10 r=12
r-15+15=5+15  r=20
r-18+18=14 +18     r=32
r+5-5=15-5    r=10
3 0
3 years ago
Which of the following is equivalent to the expression below?<br> (5+1) + (7 - 41)
Strike441 [17]

Answer:

-28

Step-by-step explanation:

6+(-34)

6-34= -28 that is the simplified form though the question isnt clear

4 0
3 years ago
What is 2.068 rounded to the nearest 0.1
Lilit [14]

Answer:

2.1

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Help me please The total number of students who could attend a field trip is represented by the variablet. The number of student
xz_007 [3.2K]

Answer:

1/4 +6<t-3

Step-by-step explanation:

the answer is tahta

6 0
3 years ago
Read 2 more answers
Other questions:
  • Which of the following constructions are crucial to draw inscribed circles on a given equilateral triangle
    7·2 answers
  • The difference of twenty-two and six divided by the sum of five and three
    9·1 answer
  • Match the expression to the simplified form
    14·2 answers
  • Please tell me the answers for number 6 part a and b even though i did it
    5·1 answer
  • How many terms are in this expression?<br> 8+6k+10n
    13·2 answers
  • If one battery is 5 cm long how many batteriess would i need to get to 3 meters (need work )
    12·1 answer
  • Can someone pleaseee help me with explaination
    11·1 answer
  • Calculate the arc length in terms of pi.(hint convert the radians to degrees)
    14·1 answer
  • The mean electric bill for Family C is approximately
    13·1 answer
  • Fid the value of the expression
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!