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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

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area of painting = 13 * 17 = 221 square inches

221 * 0.30 = 66.30

 the price would be $66.30

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Which of the following, is not a solution for the inequalities is represented by the graph shown?
stealth61 [152]

Answer:

(0,1)

Step-by-step explanation:

This is because (0,1) is right on the line, while the other choices are inside of the blue shaded area.

If this answer is correct, please make me Brainliest!

3 0
3 years ago
Solve the equation.<br> -9x + 1 = -x + 17
ddd [48]

Answer:

The value of x:

x = -2

Step-by-step explanation:

Find the value of x:

-9x + 1 = -x + 17

-Add both sides by x:

-9x + 1 + x = -x + x + 17

-8x + 1 = 17

-Subtract both sides by 1:

-8x + 1 - 1 = 17 - 1

-8x = 16

Divide both sides by -8:

\frac{-8x}{-8} = \frac{16}{-8}

x = -2

So, the final answer would be x = -2 .

4 0
3 years ago
Read 2 more answers
Please help! :)
Volgvan

Answer:

So the correct option is First one

i.e \dfrac{9\pi}{A}=\dfrac{90}{360}

Step-by-step explanation:

Given:

Area of Shaded part = 9 π square feet

To Find :

Area of Circle = ?

Solution:

90 degree center angle is equivalent to an area of 9 Π  square feet

So, 360 degree center is equivalent to area A which is the area of the complete circle.

So the Ratio will be

\dfrac{90}{9\pi} =\dfrac{360}{A}

Setting the given statements in proportion:

\dfrac{90}{9\pi} =\dfrac{360}{A}

On solving we get the required

\dfrac{9\pi}{A} =\dfrac{90}{360}

So the correct option is First one

i.e \dfrac{9\pi}{A}=\dfrac{90}{360}

Alternate Method:

Shaded part is of 90°

Area of Shaded part = 9 π square feet

And Full Circle is of 360° that is 4 sector of 90°

\textrm{Area of Circle}=4\times (Shaded\ part)

\textrm{Area of Circle}=4\times 9\pi

\textrm{Area of Circle}=36\pi

So the correct option is First one

i.e \dfrac{9\pi}{A}=\dfrac{90}{360}

On solving this we get

A=36\pi\ feet^{2}

8 0
3 years ago
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