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
maria [59]
3 years ago
7

A production process produces 2% defective parts. A sample of nine parts from the production process is selected. What is the pr

obability that the sample contains exactly two defective parts? a. .0125 b. .9875 c. .9994 d. .0200
Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
8 0

Answer:

a. .0125

Step-by-step explanation:

For each part, there are only two possible outcomes. Either it is defective, or it is not. The probability of a part being defective is independent of any other part. This means that the binomial probability distribution is used to solve this question.

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.

2% defective parts.

This means that p = 0.02

A sample of nine parts from the production process is selected.

This means that n = 9

What is the probability that the sample contains exactly two defective parts?

This is P(X = 2).

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

P(X = 2) = C_{9,2}.(0.02)^{2}.(0.98)^{7} = 0.0125

0.0125 = 1.25% probability that the sample contains exactly two defective parts. The correct answer is given by option a.

You might be interested in
The vertices of rhombus DEFG are D(1, 4), E(4, 0), F(1, –4), and G(–2, 0).
musickatia [10]
20 units im shure i took the test'

7 0
3 years ago
Read 2 more answers
Miguel glues a ribbon border around the edges of a 5 - inch by 8 - inch picture to create a frame. What is the total length of r
Marat540 [252]
26 inches. Technically, since this is a perimeter problem, you need to add each length to itself and then the others. If this is confusing, you essentially need to do 5+5+8+8=26 because you have two of the fives and two eights. Perimeter is much easier than area, I promise you that
3 0
3 years ago
Pleasee help answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!
kolbaska11 [484]

Answer:

6??

Step-by-step explanation:

I <u>THINK</u> IT WOULD BE 6

8 0
3 years ago
Read 2 more answers
Where I had $480 he used 2/3 of it to buy an electric van he also bought a tea set for $60 how
yawa3891 [41]

2/3 of 480 is 480 divided by 3 and that number times 2, which is 320. The man or woman probably used $60 of this to buy the tea set, which leaves them with $260.

8 0
3 years ago
Can you answer any of these or all I really need to finish today 10 points for any all questions
Rudiy27
Number 3 would be y=4x.
Number 5 would be 9 1/24 for the left side and 133/8 for the right side.

6 0
3 years ago
Other questions:
  • The number z and -1.9 are additive inverse’s. Drag and drop -1.9 and z to their correct positions on number line . Drag and drop
    10·1 answer
  • Calculate each numbered angle measure.<br><br> problem below
    8·1 answer
  • A florist normally takes 20 hours to assemble 10 flower arrangements how long do it takes to do one flower arrangement
    8·1 answer
  • Mrs.Morgan ordered 12 shirts.Three of them were green.What fraction of Mrs.Morgan's shirts were green
    14·1 answer
  • Mother has purchased 75 yards of green fabric and 125 yards of white fabric to make green and white curtains. What is the larges
    8·1 answer
  • A pound of turkey costs (3w 8) dollars and a pound of cheese costs (4w-3) dollars.mrs.young bought 2 pounds of turkey and three
    5·1 answer
  • a nursery owner buys 7 panes cost of 18.55 unfortunately she breaks 2 more panes while repairing damage what is the cost of the
    11·1 answer
  • I have 7 students. Two of them love skateboarding, and five love biking. If my number of students doubles, but the ratio of pref
    14·2 answers
  • solve for each please i really need help if u want to help me with my test and i get an a or a b i will give u 500 dollars
    15·1 answer
  • HELP DUE IN 10 MINS!<br><br> x =??
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!