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
boyakko [2]
3 years ago
6

An electronic system has three major circuit boards, A, B and C. These boards have respective software support in the ratio, (30

%) : (30 %) : (40 %). Further, percentages of software failure observed in A, B and C respectively are: (4 %), (5 %) and (3 %). Suppose a random failure is observed. What is the probability that this failure is from A, B or C?
Mathematics
1 answer:
yKpoI14uk [10]3 years ago
3 0

Answer:

30.77% probability that this failure is from A.

38.46% probability that this failure is from B.

30.77% probability that this failure is from C.

Step-by-step explanation:

Conditional probability:

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

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

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

30% probability of board A being chosen.

Board A has a 4% probability of failure.

30% probability of board B being chosen.

Board B has a 5% probability of failure.

40% probability of board C being chosen.

Board B has a 3% probability of failure.

For all these questions:

Event A: Failure

So

P(A) = 0.3*0.04 + 0.3*0.05 + 0.4*0.03 = 0.039

Probability that this failure is from A:

Event B: Board A is chosen.

Intersection:

Failure from board A:

P(A \cap B) = 0.3*0.04 = 0.012

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.012}{0.039} = 0.3077

30.77% probability that this failure is from A.

Probability that this failure is from B:

Event B: Board B is chosen.

Intersection:

Failure from board B:

P(A \cap B) = 0.3*0.05 = 0.015

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.015}{0.039} = 0.3846

38.46% probability that this failure is from B.

Probability that this failure is from C:

Event B: Board C is chosen.

Intersection:

Failure from board C:

P(A \cap B) = 0.4*0.03 = 0.012

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.012}{0.039} = 0.3077

30.77% probability that this failure is from C.

You might be interested in
7 people are going to share an 84 oz bottle of soda how many ounces will each person get to drink
rjkz [21]

Answer:

12

Step-by-step explanation:

divide 84 by 7.

4 0
2 years ago
Read 2 more answers
Which estimation could be used to make sure the answer is reasonable? Claudia mixed 16.7 pounds of sand with 12.6 pounds of soil
ra1l [238]
The answer for your question is a). Because if you add 12.6 pounds by 16.7 pounds you will get 29.3 as your answer.the estimated answer is 30 and,22.1 estimated is 22.Finally,you just subtract 30 by 22 and you get your answer as 8.
7 0
3 years ago
the diameter of a piston for an automobile is 3 11/16in with tolerence of 1/64in. find the upper and lower limits of the pistons
padilas [110]

Upper Tolerance

Remark

The 11/16 is the only thing that will be affected. The three won't go up or down when we add 1/64 so we should just work with the 11/16. We need only add 11/16 and 1/64 together to see what the upper range is. Later on we can add 3 into the mix.

Solution

<u>Upper Limit</u>

\dfrac{11}{16} +  \dfrac{1}{64}

Now change the 11/16 into 64. Multiply numerator and denominator or 11/16 by 4

\dfrac{11*4}{16*4} +  \dfrac{1}{64}

\dfrac{11*4}{16*4} +  \dfrac{1}{64} Which results in

\dfrac{44}{64} +  \dfrac{1}{64}

With a final result for the fractions of 45/64

So the upper tolerance = 3 45/64

<u>Lower Tolerance</u>

Just follow the same steps as you did for the upper tolerance except you subtract 1/64 like this.

\dfrac{11}{16} - \dfrac{1}{64}

Your answer should be 3 and 43/64


4 0
3 years ago
A recipe calls for 1 1/2 cups of mayonnaise and 3/8 cups of pecans. How much mayonnaise should be used if 1 cup of pecans is use
Elodia [21]

Answer:

4 cups of mayonnaise.

Step-by-step explanation:

The ratio of the amount of pecans comparing reality and the recipe is:

1 : 3/8

= 1/(3/8)

= 8/3

Hence, to find the amount of mayonnaise that should be added:

8/3 * 3/2

= 8/2

= 4 cups

Hope this helped!

8 0
2 years ago
Mrs. Smith wants to purchase new markers for
olga_2 [115]

Answer:

off course D

Step-by-step explanation:

follow me say a thanks mark me branliest

7 0
2 years ago
Other questions:
  • Plz help me with this
    13·1 answer
  • What is (2/9v - ( -1/3v + 5/9)
    15·1 answer
  • Can someone help me solve this? I keep getting stuck
    13·1 answer
  • Haley's work evaluating (-2) is shown below.
    10·1 answer
  • ∠A=8x+6 ∘ start color #11accd, angle, A, end color #11accd, equals, start color #11accd, 8, x, plus, 6, degrees, end color #11ac
    13·2 answers
  • Find the value of x that makes m parallel to n.
    12·1 answer
  • Find the distance between the points (10,10) and (10,5)
    14·1 answer
  • Please help meeeeeeeeeeeeeeeeeeeeeeee
    10·2 answers
  • 9.
    15·2 answers
  • The average height of Susan's 8th grade class is 56 Inches. However, the height of any student in the class can vary by up to 4
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!