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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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Can Someone Please Help Me With This, Thanks! :)
Murrr4er [49]

Answer:

405

Step-by-step explanation:

So he built 5/9 of the wall, than added the extra 180 bricks to finish the wall.

so 5/9 + 180 = 9/9

so 180 = 4/9 Because 5/9 + 4/9 = 9/9

So to figure out how many bricks are in the wall we want to know what 1/9 of bricks equals and to work this out we need to divide 180 by 4

which equals 45.

Now we know that 1/9 = 45

so now to figure out what 9/9 is just multiply 45 by 9 which equals 405

7 0
1 year ago
Read 2 more answers
Stuck in this problem help please
marta [7]
Use trigonometry.

tan30° = perpendicular / base

Here for angle 30° , x is perpendicular while 10 is the base.

tan30° = 1/√3
1/√3 = x/10
x = 10/✓3

By rationalising
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Hope This Helps You!
3 0
3 years ago
Would this be h=4 or h=12?<br> 4=h-8
blsea [12.9K]

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Step-by-step explanation:

12-8=4

hope this helps!!

4 0
2 years ago
The area of the Pacific Ocean is about 6.0061 x 107 square miles. The area of the Southern Ocean is about 7.8483 x 106 square mi
Scilla [17]

Answer:

A. 8

Step-by-step explanation:

6.0061 x 10^7

/                        = 6/8 x 10^7/10^6

7.8483 x 10^6

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5 0
2 years ago
144 divided by u=12 please help me
stiv31 [10]
Well, if u=12 and you are dividing you would do 144/5 which equals 12. I hope this helps and have a blessed day!

8 0
3 years ago
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