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
creativ13 [48]
3 years ago
13

A sequence of Bernoulli trials consists of choosing components at random from a batch of components. A selected component is eit

her classified as defective or nondefective. If the probability that a selected component is non-defective is 0.8, find the following probabilities: a) Three non-defective components in a batch of seven components. b) 8 non-defective components are drawn before the first defective component is chosen.
Mathematics
1 answer:
Drupady [299]3 years ago
4 0

Answer:

a) 0.0287 = 2.87% probability that three non-defective components in a batch of seven components.

b) 0.0336 = 3.36% probability that 8 non-defective components are drawn before the first defective component is chosen.

Step-by-step explanation:

A sequence of Bernoulli trials composes the binomial distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

The probability that a selected component is non-defective is 0.8

This means that p = 0.8

a) Three non-defective components in a batch of seven components.

This is P(X = 3) when n = 7. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 3) = C_{7,3}.(0.8)^{3}.(0.2)^{4} = 0.0287

0.0287 = 2.87% probability that three non-defective components in a batch of seven components.

b) 8 non-defective components are drawn before the first defective component is chosen.

Now the order is important, so the we just multiply the probabilities.

8 non-defective, each with probability 0.8, and then a defective, with probability 0.2. So

p = (0.8)^8*0.2 = 0.0336

0.0336 = 3.36% probability that 8 non-defective components are drawn before the first defective component is chosen.

You might be interested in
How did the geography of Mesopotamia and its location influence the development of civilization? PLS HELP WITH THIS QUESTIONN!!!
scoray [572]
^^ that’s right !,!!
4 0
3 years ago
Each of the p children at a park receives at least 3 balloons. If the children receive 150 balloons in all, find the maximum num
STALIN [3.7K]
The answer i think is 50

3 0
3 years ago
Read 2 more answers
Give the appropriate theorem or postulate that can
Ratling [72]

Answer:

Step-by-step explanation:

<ACB = <ECD    

These 2 angles are vertically opposite and are equal.

<B = <D

They are both right angles are therefore equal.

The answer is the AA postulate.

A

Note

ASA is a congruence postualate. If S is between two angles that can be shown to be corresponding and equal, then you will have 2 congruent triangles.

SSS if three sides of 1 triangle = 3 sides of a second triangle, then the 2 triangles are congruent. If the the three sides of one triangle are in a ratio with 3 sides of the other triangle, then the triangles could be similar, but that is not the case here.

SAS this is the terminology for congruence as well. We don't know enough to use it for similarity. Some sort of ratio would have to be mentioned to do that.

You are intended to use AA as your answer.

8 0
2 years ago
5/2+18/5+11/4 what is the answer for this question​
Likurg_2 [28]

Answer:

Step-by-step explanation:

basicallyi you want to find a common denominator before you add them up. the common denominator in this case would be 20, since it's the first common multiple all of them share

50/20 plus 72/20 plus 55/20

177/20 would be your answer

3 0
3 years ago
Read 2 more answers
Lập bảng biến thiên và tìm tập giá trị của y=2x-4
Nikitich [7]
The answer is -8 (-8=2*-4)
7 0
2 years ago
Other questions:
  • How can numbers be opposites
    14·1 answer
  • Find the product of 2536 and 8
    15·2 answers
  • Explain how to break apart the addends to find the sum of 25 + 16
    13·1 answer
  • Xy+3x+2y=-6<br>yz+y+3z=-3<br>xz+2x+z=-2<br> Find x, y and z<br>​
    14·1 answer
  • What is 2xy multiplied by 5x to the second power?
    5·1 answer
  • One day, a pet supply store selected every 20th person on a customer list and asked each how many dogs he or she had at home. Te
    15·1 answer
  • Felix has a board 6 ft long. He needs to cut the board into 2 3 ft long pieces. A number line going from 0 to 6 in increments of
    15·2 answers
  • An 8cm cube is cut into several small cubes of edge 2cm.how many cubes are formed???​
    6·1 answer
  • One inch equals 2.54cm.A ribbon 100in.long is how many cmlong?​
    12·2 answers
  • I will give brainliest to whoever helps me with this question. Also, if you could please explain to me how you solved it I would
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!