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
djverab [1.8K]
2 years ago
15

A factory robot recently examined some bulbs, of which 12 were flawed and 48 were not. Considering this data, how many flawed bu

lbs would the robot be expected to find in a batch of 95 bulbs?
Mathematics
1 answer:
NeX [460]2 years ago
7 0

Using the expected value of the binomial distribution, it is found that the robot would be expected to find 19 flawed in a batch of 95 bulbs.

For each bulb, there are only two possible outcomes, either it is defective, or it is not. The probability of a bulb being defective is independent of any other bulb, hence, the binomial distribution is used to solve this question.

<h3>What is the binomial distribution? </h3>
  • The <em>binomial distribution</em> is the <u>probability of exactly x successes on n repeated trials, with p probability of a success on each trial</u>.

The expected value is given by:

E(X) = np

In this problem:

  • Out of 12 + 48 = 60 bulbs, 12 were flawed, hence p = \frac{12}{60} = 0.2.
  • A batch of 95 bulbs is taken, hence n = 95.

Then, the <em>expected value </em>is:

E(X) = np = 95(0.2) = 19

The robot would be expected to find 19 flawed in a batch of 95 bulbs.

To learn more about the binomial distribution, you can take a look at brainly.com/question/26155596

You might be interested in
Need help with numbers 8 and 9
ikadub [295]

Answer:

did not understand ur q.a

3 0
3 years ago
Although not so common now, consider a phone plan that does not have unlimited texting. Your base plan costs you $30 a month and
german

Answer:

The bill will be $26070.

Step-by-step explanation:

Your base plan costs you $30 a month

And each text sent or received is only 12 cents or $0.12.

Let the messages sent be = x

So, cost for messages become = 0.12x

Let total bill cost be = y

Now, total bill will comprise of monthly plan charges plus message charges.

So, equation forms:

y=30+0.12x

Now, given is that In one month 217,000 messages were sent between two brothers in Philadelphia.

So, their approximate bill will be :

y=30+0.12(217000)

=>y=30+26040

=> y = 26070

Therefore, bill will be $26070.

5 0
3 years ago
Find the domain and range of the function
Karolina [17]
Domain- {-2, 1, 0, 1, 2}
Range- {-2, 0, 2}

My domain is right but I don’t think my range is. I did learn this 4 years ago though so
5 0
3 years ago
Find the value of x.<br> 17<br> X-4
kipiarov [429]

Answer:

x = 12.5

Step-by-step explanation:

17 = 2(x - 4)

17 = 2x - 8

17 + 8 = 2x - 8 + 8

25 = 2x

12.5 = x

7 0
2 years ago
Logx = 1 - log(x-9)<br> how do you solve this?
andrew-mc [135]
Get the app Symbolab, it helped me when I was learning about logarithms.
The answer is x=10
3 0
3 years ago
Other questions:
  • PLEASE HELP PICTURE SHOWN
    8·1 answer
  • Solve for x: 4(x+5)=3(x-2)-2(x+2)
    7·1 answer
  • Sam is hired for a 20-day period. On days that he works, he earns $60. For each day that he does not work, $30 is subtracted fro
    10·1 answer
  • What is the value of x, the acid concentration of the first solution?
    15·2 answers
  • How many triangles ?
    8·2 answers
  • Brooke is flying a kite while standing 50 m from the base of a tree at the park. Her Chi is directly above the 10 m tree in the
    8·1 answer
  • Find the perimeter of the figure 35 in. 34 in. 70 in. 84 in.
    7·2 answers
  • Please help please....
    14·1 answer
  • How can you use the Distributive Property to check your work when factoring?
    14·2 answers
  • A person driving her car at 12.5 m/s approaches an intersection just as the traffic light turns yellow. She knows that the yello
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!