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
DaniilM [7]
2 years ago
14

Approximately 5% of calculators coming out of the production lines have a defect. Fifty calculators are randomly selected from t

he production line and tested for defects. What is the probability that exactly 2 calculators are defective?
Mathematics
1 answer:
baherus [9]2 years ago
3 0

Answer:

0.2611 = 26.11% probability that exactly 2 calculators are defective.

Step-by-step explanation:

For each calculator, there are only two possible outcomes. Either it is defective, or it is not. The probability of a calculator being defective is independent of any other calculator, which 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.

5% of calculators coming out of the production lines have a defect.

This means that p = 0.05

Fifty calculators are randomly selected from the production line and tested for defects.

This means that n = 50

What is the probability that exactly 2 calculators are defective?

This is P(X = 2). So

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

P(X = 2) = C_{50,2}.(0.05)^{2}.(0.95)^{48} = 0.2611

0.2611 = 26.11% probability that exactly 2 calculators are defective.

You might be interested in
BRAINLIEST. MORE POINTS!!
jek_recluse [69]

Answer:  Negative slope:

Every day, I spend 100 dollars on my credit card.

Positive slope:

Everyday I gain 100 dollars.

Step-by-step explanation:

7 0
3 years ago
Picture from my last question!
vaieri [72.5K]
F
Triangle equals 180
42+42=84
What is 180-84
That would be the next angle
4 0
2 years ago
Read 2 more answers
Help me. what is three and one half times one and two thirds
Natali [406]

Answer:

3 1/2 × 1 2/3 = 5 5/6.

5 0
2 years ago
Read 2 more answers
8) Shawna had $20 to spend on six pencils. After buying them she had
Brums [2.3K]

It cost 2 dollers each.

3 0
3 years ago
Please help me! (Tangent Ratios) (20 points)
Leya [2.2K]

Answer:

Tan A for first page  25/49  

Tan A for second page 37/49

Tan B for first page 24/49

Tan B for second page 12/49

5 0
3 years ago
Other questions:
  • Help me find surface area of this shape
    14·1 answer
  • Why are jobs in the labor market outsourced from the United States to other countries such as Mexico and India?
    11·1 answer
  • Two similar prisms have heights 4 cm and 10cm what is the ratio of their surface areas
    10·1 answer
  • Line QR contains (2, 8) and (3, 10) Line ST contains points (0, 6) and (−2, 2). Lines QR and ST are
    12·1 answer
  • Need help plz very difficult
    10·1 answer
  • A contradiction is: always false sometimes true not a statement
    8·2 answers
  • What word describes the slopes of the line
    14·1 answer
  • Bob can mow 3 lawns in 5 hours. How long would it take it to mow 9 lawns?
    9·1 answer
  • Write the equation of the line that has a slope of 2 and passing through (3,-4) point
    8·1 answer
  • Need Help!
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!