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
8090 [49]
3 years ago
14

From experience, it is known that on average 10% of welds performed by a particular welder are defective. if this welder is requ

ired to do three welds in a day:
a. what is the probability that none of welds will be defective?
b. what is the probability that exactly two of welds will be defective? 2
c. what is the probability that at least two welds are defective? assume that the condition of each weld is independent of the condition of the other welds.
Mathematics
1 answer:
bulgar [2K]3 years ago
8 0
Binomial distribution can be used because the situation satisfies all the following conditions:1. Number of trials is known and remains constant (n)2. Each trial is Bernoulli (i.e. exactly two possible outcomes) (success/failure)3. Probability is known and remains constant throughout the trials (p)4. All trials are random and independent of the othersThe number of successes, x, is then given byP(x)=C(n,x)p^x(1-p)^{n-x}whereC(n,x)=\frac{n!}{x!(n-x)!}
Here we're given
p=0.10  [ success = defective ]
n=3

(a) x=0
P(x)=C(n,x)p^x(1-p)^{n-x}
=C(3,0)0.1^0(1-0.1)^{3-0}
=1(1)(0.729)
=0.729

(b) x=2
P(x)=C(n,x)p^x(1-p)^{n-x}
=C(3,2)0.1^2(1-0.1)^{3-2}
=3(0.01)(0.9)
=0.027

(c) x ≥ 2
P(x)=\sum_{x=2}^3C(n,x)p^x(1-p)^{n-x}
=P(2)+P(3)
=C(n,2)p^2(1-p)^{n-2}+C(n,3)p^3(1-p)^{n-3}
=C(3,2)0.1^2(1-0.1)^{3-2}+C(3,3)0.1^3(1-0.1)^{3-3}
=3(0.01)(0.9)+1(0.001)1
=0.027+0.001
=0.028


You might be interested in
Which of the following could represent the unit side lengths of a right triangle
snow_lady [41]

Answer:

Choice D

Step-by-step explanation:

If you check each one plugging in your info into this you can get a^{2} +b^{2} =c^{2} that 12² + 16² will equal 400 which is the same as 20².

4 0
2 years ago
Read 2 more answers
Given that 7x - 3y = 23
Triss [41]
7x - 3(-2) = 23
7x - - 6 = 23 (two minuses make a plus)
so it’s gonna be 7x + 6 = 23
Now you have isolate you x, so move everything else to the other side, but remember to change your sign when transferring to the other side

7x = 23 - 6
7x = 17
To isolate x in this multiple, you divide by 7 (because the inverse of multiplication is division)
x = 17/7
7 0
3 years ago
The help is needed for these times
rosijanka [135]

Answer:

This be soooo hard ;w;

Step-by-step explanation:

.w.

3 0
3 years ago
What’s 44/24 As a mixed number
Zina [86]

Answer:

1 5/6

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Will give brainiest for this
cluponka [151]

Answer:

lol, u can still ask the question

Step-by-step explanation:

3 0
2 years ago
Other questions:
  • Class 10R sat a test.
    7·2 answers
  • Which of the following is a line perpendicular<br> to y = 3x-7?
    7·1 answer
  • How do you solve this equation, 5s^2-14s-3=0
    15·1 answer
  • In the xy -plane above, point C has coordinates (6, 9). Which of the following is an equation of the line that contains points O
    7·1 answer
  • Commission of sales is 8% and worker earns $2,560 commission. what are sales?
    14·1 answer
  • Solve the system of equations for -2x+2y=4
    6·1 answer
  • Find the equation that has a slope of 4 and passes through the point (1,-2)​
    11·1 answer
  • What is the length of the base edge labeled x?
    5·1 answer
  • I need help with the blank spaces!!
    8·1 answer
  • Consider the quadratic function f(x) = x2 – 5x + 12. Which statements are true about the function and its graph? Select three op
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!