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
beks73 [17]
3 years ago
8

Two types of defects are observed in the production of integrated circuit boards. It is estimated that 6% of the boards have sol

der defects and 3% have some surface-finish defects. The occurrences of the two types of defects are assumed to be independent of each other. If a circuit board is randomly selected from the output, find the probabilities for the following situations:(a) Either a solder defect or a surface-finish defect or both are found.(b) Only a solder defect is found.(c) Both types of defects are found.(d) The board is free of defects.(e) If a surface-finish
Mathematics
1 answer:
aalyn [17]3 years ago
6 0

Answer:

(a) 0.09

(b) 0.06

(c) 0.0018

(d) 0.9118

(e) 0.03

Step-by-step explanation:

Let <em>A</em> = boards have solder defects and <em>B</em> = boards have surface defects.

The proportion of boards having solder defects is, P (A) = 0.06.

The proportion of boards having surface-finish defects is, P (B) = 0.03.

It is provided that the events A and B are independent, i.e.

P(A\cap B)=P(A)\times P(B)

(a)

Compute the probability that either a solder defect or a surface-finish defect or both are found as follows:

= P (A or B) + P (A and B)

=P(A)+P(B)-P(A\cap B)+P(A\cap B)\\=P(A)+P(B)\\=0.06+0.03\\=0.09

Thus, the probability that either a solder defect or a surface-finish defect or both are found is 0.09.

(b)

The probability that a solder defect is found is 0.06.

(c)

The probability that both defect are found is:

P(A\cap B)=P(A)\times P(B)\\=0.06\times0.03\\=0.0018

Thus, the probability that both defect are found is 0.0018.

(d)

The probability that none of the defect is found is:

P(A^{c}\cup B^{c})=1-P(A\cup B)\\=1-P(A)-P(B)+P(A\cap B)\\=1-P(A)-P(B)+[P(A)\times P(B)]\\=1-0.06-0.03+(0.06\times0.03)\\=0.9118

Thus, the probability that none of the defect is found is 0.9118.

(e)

The probability that the defect found is a surface finish is 0.03.

You might be interested in
If x and y are integers, and 3x + 2y = 13, which of the following could be the value of y ?
lions [1.4K]
They are all integers so...
first lets substitute
A.3x=13
X=13/3
b.3x+2=13
3x=11
x=11/3
c.3x+4=13
3x=9
x=3
d.3x+6=13
3x=7
x=7/3

E.3x+8=13
3x=5
x=5/3

therefore the possible is letter c because it must be an integer and the definition of integer states that it is not a decimal nor a fraction

3 0
3 years ago
Read 2 more answers
Using long division to find the quotient and remainder 4x^4+2x^2-2 divided by x^2+2
emmasim [6.3K]
                             4x²    -6
         __________________
x²+2  l 4x^4         +2x²     -2
         l  4x^4        +8x²
           --------------------
                            -6x²     -2
                            -6x²     -12
                           ---------------
                                       10

so the answer is (4x^2-6) \frac{10}{x^2+2}
8 0
3 years ago
Edmentum// monomials
stepladder [879]

Answer:

625b^6

Step-by-step explanation:

= 5^3 * 5b^6

= 5^3 * 5

= 625

6 0
2 years ago
Simplify the expression.<br><br> |–12 + (–93)|
emmainna [20.7K]

Answer:

105

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
What’s the perimeter?
uysha [10]

Answer:

answer 60,40 i think

Step-by-step explanation:

the perimiter is the outside of an object, when finding the perimiter you add the suroundding together, when it comes to area you multiply

7 0
2 years ago
Read 2 more answers
Other questions:
  • !!PLEASE HELP!! Stuck on this and need some help. !!40PTS!!
    13·1 answer
  • Which expression is equivalent to sin 7pi/6?
    8·2 answers
  • A rectangular park is 400 m long and 200 m wide. If you walked around the park twice, how far would you walk? Awnser : 160,000 -
    12·2 answers
  • Please help on my math question
    7·1 answer
  • point M divides AB so that AM:MB 1:2. If A has coordinates (-1,-3) and B has coordinates (8,9), what are the coordinates of M?
    7·1 answer
  • Help on horizontal asymptote!
    8·2 answers
  • What’s 3/4 equivalent too <br><br> Answer 40 points
    13·2 answers
  • There are two bags of oranges on sale. The prices are shown below: Bag A: $2400 containing 12 oranges Bag B: $3000 containing 20
    6·1 answer
  • Help my friend out?
    12·2 answers
  • Solve this please<br><br> 35 cm = [?] m
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!