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
PtichkaEL [24]
3 years ago
14

A manufacturing process produces integrated circuit chips. Over the long run the fraction of bad chips produced by the process i

s around 20%. Thoroughly testing a chip to determine whether it is good or bad is rather expensive, so a cheap test is tried. All good chips will pass the cheap test, but so will 10% of the bad chips.
Given that a chip passes the test, what is the probability that the chip was defective?
Mathematics
1 answer:
Vitek1552 [10]3 years ago
5 0

Answer:

0.0244 (2.44%)

Step-by-step explanation:

defining the event T= the chips passes the tests , then

P(T)= probability that the chip is not defective * probability that it passes the test given that is not defective  + probability that the chip is defective * probability that it passes the test given that is defective = 0.80 * 1 + 0.20 * 0.10 = 0.82

for conditional probability we can use the theorem of Bayes. If we define the event D=the chip was defective , then

P(D/T)=P(D∩T)/P(T) = 0.20 * 0.10/0.82=  0.0244 (2.44%)

where

P(D∩T)=probability that the chip is defective and passes the test

P(D/T)=probability that the chip is defective given that it passes the test

You might be interested in
$72 with a 40% markup
alex41 [277]

Answer:

$100.80

Step-by-step explanation:

40%/100%×72=$28.80

$72+$28.80=$100.80

8 0
2 years ago
Find three consecutive integers such that three times the first added to the last is 22
Finger [1]
Consetive integers are 1 apart
they are
x,x+1,x+2

3 times the first added to the last is 22
3x+x+2=22
combine like terms
4x+2=22
minus 2 both sides
4x=20
divide both sides by 4
x=5
x+1=6
x+2=7

the numbers are 5,6,7
4 0
3 years ago
A kite is flying at an angle of elevation of 48º. Find the height of the kite if 39 ft of the string have been let out.​
Naddika [18.5K]
A kite is flying at an angle of elevation of 48 degrees
5 0
2 years ago
To simplify -36 = (2)(3) 2 + 5, we first
velikii [3]

Answer:

Step-by-step explanation:

We use formula of BODMAS we starting by removing blackets by multiply (2)(3)and w get 6 and then by 2 we get 12 and add by 5 we get 17 and cross 17 to -36 and 17 change to -17 and then take -17-36=-53..

-36=(2)(3)2+5

-36=(6)2+5

-36=12+5

-36=17

-17-36

=-53

4 0
3 years ago
Read 2 more answers
10² - (-10)² - (-10)²​
Art [367]
The answer is -100 (10*10)- (-10*-10) - (10*10)
7 0
3 years ago
Read 2 more answers
Other questions:
  • Write an inequality to represent the situation: The temperature stays above -15 degrees.
    15·1 answer
  • The first digit of two different numbers is in the hundred million's place. Both numbers contain the same digits. Can you determ
    10·1 answer
  • How do I solve: -20<4-2x
    7·1 answer
  • What is the theoretical probability of spinning an even number?
    5·2 answers
  • What is the mean absolute deviation of 10, 5, 7, 10, 19, 32, 25?​
    9·1 answer
  • What are the LDC between 4/9 & 2/3
    15·1 answer
  • The graph of an equation with a negative discriminant always has which characteristic?
    15·1 answer
  • How do you simplify the expression: 8u + 10u + -u - 7u
    9·2 answers
  • The running trail in the local park is 3.826 miles long. If the park board were planning to extend the trail by 2.46 miles, what
    12·2 answers
  • The average of six positive integers starting with a is equal to b. What is the average of five consecutive integers ending with
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!