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
denis23 [38]
3 years ago
11

Hi, can someone please help me with this question!!! Thank you ☺

Mathematics
1 answer:
docker41 [41]3 years ago
6 0
I think Hannah is right
You might be interested in
A manufacturer of Christmas light bulbs knows that 10% of these bulbs are defective. It is known that light bulbs are defective
Inessa05 [86]

Answer:

(a) P(X \leq 20) = 0.9319

(b) Expected number of defective light bulbs = 15

Step-by-step explanation:

We are given that a manufacturer of Christmas light bulbs knows that 10% of these bulbs are defective. It is known that light bulbs are defective independently. A box of 150 bulbs is selected at random.

Firstly, the above situation can be represented through binomial distribution, i.e.;

P(X=r) = \binom{n}{r} p^{r} (1-p)^{2} ;x=0,1,2,3,....

where, n = number of samples taken = 150

            r = number of success

           p = probability of success which in our question is % of bulbs that

                  are defective, i.e. 10%

<em>Now, we can't calculate the required probability using binomial distribution because here n is very large(n > 30), so we will convert this distribution into normal distribution using continuity correction.</em>

So, Let X = No. of defective bulbs in a box

<u>Mean of X</u>, \mu = n \times p = 150 \times 0.10 = 15

<u>Standard deviation of X</u>, \sigma = \sqrt{np(1-p)} = \sqrt{150 \times 0.10 \times (1-0.10)} = 3.7

So, X ~ N(\mu = 15, \sigma^{2} = 3.7^{2})

Now, the z score probability distribution is given by;

                Z = \frac{X-\mu}{\sigma} ~ N(0,1)

(a) Probability that this box will contain at most 20 defective light bulbs is given by = P(X \leq 20) = P(X < 20.5)  ---- using continuity correction

    P(X < 20.5) = P( \frac{X-\mu}{\sigma} < \frac{20.5-15}{3.7} ) = P(Z < 1.49) = 0.9319

(b) Expected number of defective light bulbs found in such boxes, on average is given by = E(X) = n \times p = 150 \times 0.10 = 15.

                                           

5 0
3 years ago
Which graph represents a function with a growth factor of 5
mr Goodwill [35]

Answer:

the answer should be C!


Step-by-step explanation:

When you multiply the y value 0.04 and 5 it comes out as 0.02.


6 0
3 years ago
Read 2 more answers
What is the answer to 8 minus five sixs
Elis [28]
43/6 fourth three over 6
8 0
3 years ago
Read 2 more answers
Whats a interger greater than 10 and less than -15 ?
mestny [16]

An integer greater than 10 is 46.

An integer less than -15 is -24.

7 0
3 years ago
What’s the answer plss I really need help
iragen [17]

Answer:

The answer is d) 22.4

Step-by-step explanation:

I attached a file below if you want to see the process!

8 0
1 year ago
Read 2 more answers
Other questions:
  • Brainliest!!!<br> Please help ASAP !
    15·1 answer
  • Combine the like terms to create an equivalent expression: <br> 2s-( -4s)= ?
    11·1 answer
  • Eric has 5 CDs that he is going to give away. He lets his best friend choose 3 of the 5 CDs. How many different groups of 3 CDs
    10·1 answer
  • What value of x makes the equation true <br> 2 (6x-1) = -38
    9·1 answer
  • I need help with only one question on number 4? anyone pls?
    12·1 answer
  • E<br> B<br> 144<br> 00<br> 68<br> С<br> A<br> 6<br> 18<br> 68<br> 44°<br> F<br> D
    7·1 answer
  • Combine like terms to write a simplified expression: <br><br> 12p + 11 - 5p + 3
    11·2 answers
  • What is the equation for the line that passes through the point (-4,-6) and has a slope of -1/2?
    5·1 answer
  • What type of chart/graph must have all of its smaller parts add up to one whole?
    10·1 answer
  • A group of people were asked which of three ice cream flavors they prefer. The results are shown in the table.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!