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
Sarah bought a $320000 house. She pays 20% down and takes out a 30-year loan for the rest. How much is the loan amount going to
lana [24]
The first thing you do is mutitpy 320,000 by .20 so that you can find the amount of down payment. The down payment would be 64,000. So you subtract 64,000 from 320,000. This leaves a loan amount of 256,000 dollars. The answer is 256,000 dollars .
7 0
4 years ago
Expression equivalent to 3n + 2(1-4n)
yuradex [85]
You can first distribute the number into the parenthesis: 3n + 2 - 8n. Now, combine the like terms (n): -5n + 2. It can either be -5n + 2 or 2 - 5n.
7 0
3 years ago
DOES ANYONE KNOW THIS?? PLEASE HELP ME ON MY GEOMETRY
Damm [24]

Step-by-step explanation:

Arrow JK=360-54-130-110=66

arrow MK=66+54=120

Angle L=120/2=60

3a=60

a=30

7 0
3 years ago
How do I solve this?
anyanavicka [17]

Answer:

Step-by-step explanation:

Slope= -3/1

plot from point  (-2,4)

3 0
3 years ago
Read 2 more answers
Please help me. What is the y intercept of the graph shown below?
natta225 [31]

Answer:

(0,2)

Step-by-step explanation:

the point where Oy intercepts the graph has x=0 and y= f(0)

so this is (0,2)

7 0
3 years ago
Other questions:
  • Simplify<br> (y + 1)<br> (y + 1)?
    11·1 answer
  • If one side of a cube is 15m in length,find its volume
    15·2 answers
  • Please Help, answer 4 and 5
    6·1 answer
  • Find the missing expressions... (6+4n) - (8+3n) =? And (4+6n) - (3+8n)=?
    6·1 answer
  • How to solve 2a^b-4ab^​
    9·1 answer
  • What is the fraction form of 8.08?
    13·1 answer
  • A step by step solution. each step has clear instructions. Like a recioe
    7·1 answer
  • Find the value of x . PLEASE ANSWER QUICK ILL MARK BRAINLIEST
    15·2 answers
  • Circumference of circle 132cm find the area of circle is​
    15·1 answer
  • Ill give brainliest hurry plssss
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!