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
Murrr4er [49]
3 years ago
9

A power system will collapse if a ground fault occurs on any two of lines A, B, and C simultaneously. Assume that ground faults

on lines A, B, and C are independent and have identical probability of 0.01. Hint: parts (a) and (b), use Bernoulli Trials; part (c), use Bayes Rule. a) What is the probability that the system will collapse
Mathematics
1 answer:
nadya68 [22]3 years ago
5 0

Answer:

0.000298 = 0.0298% probability that the system will collapse

Step-by-step explanation:

Number of possible ways the system can fail:

2 lines from a set of 3 fail, or all three fail.

Two from a set of 3:

Can be A and B, A and C, or B and C. Three possible outcomes then.

The probability of each is:

0.01*0.01*0.99

Two failling, each with 0.01 probability, and 1 working, with 0.99 probability.

All three:

Each with 0.01 probability.

a) What is the probability that the system will collapse

Both cases, so

p = 3*(0.01)^2*0.99 + (0.01)^3 = 0.000298

0.000298 = 0.0298% probability that the system will collapse

You might be interested in
A room can just store either 10 cases of soya beans drink and 8 cases of fruit juice or 4 cases of soybeans drink and 11 cases o
Vladimir79 [104]

Answer:

2 cases of soya bean milk will have the same volume as 1 case of fruit juice.

Step-by-step explanation:

Let the case of soya beans drink be x and let the case of fruit juice be y

We are told that the room can store either 10 cases of soya beans drink and 8 cases of fruit juice or 4 cases of soybeans drink and 11 cases of fruit juice.

This means that;

10x + 8y = 4x + 11y

Rearranging, we have;

10x - 4x = 11y - 8y

6x = 3y

Thus;

y = 6x/3

y = 2x

This means that 2 cases of soya bean milk will have the same volume as 1 case of fruit juice.

8 0
3 years ago
The circumference of a standard bowling ball is about 27 in. To the nearest unit, how many square inches is the surface area of
Sidana [21]
The surface area of a sphere is S=4 \pi  r^{2} where r is the radius;
The circumference is 2 \pi r=27 in so that r= \frac{27}{2 \pi }=4.5 in using this value we can evaluate the surface area of 1 ball as:
S=4 \pi r^{2} =4 \pi  (4.5)^{2} =254.3  in^{2}
For 100 ball you get: 100*254.3=25430  in^{2}


4 0
2 years ago
−2((5+3)(−2+4))<br><br><br> i need help with 7th grade math
drek231 [11]
<h2>Answer:</h2><h2>-16 -6.</h2><h2 /><h2>-2(5+3)(-2+4)</h2><h2>-2(8) (-6)</h2><h2>Then multiply the one's outside with the one's in the bracket.</h2><h2>Making it...</h2><h2>-16 -6</h2>

5 0
3 years ago
Find profit or loss %<br> A) cp= 150 and profit =250
Anon25 [30]

Answer:

166⅓ %

Step-by-step explanation:

250/150 × 100

500/3 = 166⅓ %

Or 166.67%

7 0
2 years ago
What is the range for the number of cars, new and used, that were sold from July to December?
sesenic [268]
I think its C cuz it makes more sense then B.
4 0
2 years ago
Other questions:
  • Zoe's pizza cost $12.99 she gave a tip of $2.00
    10·2 answers
  • The sum of one-half t and one third s
    10·1 answer
  • Please help meee. i honestly do not get what is being posted and need help
    6·1 answer
  • I am an odd number that is less than 10 and is not the number of sides on a triangle. I can be divided by three.What number am I
    14·2 answers
  • Need help someone please
    5·1 answer
  • The midpoint of GĦ is M(-3, 4). One endpoint is G(-2, 2). Find the<br> coordinates of endpoint H.
    8·1 answer
  • Find the nth term of this number sequence<br> 1, 10, 19, 28, ...<br> Pls help
    7·2 answers
  • G(t) = −3t^3 − 4t f (t) = 4t − 4 Find g(t) + f (t)​
    15·1 answer
  • Help find missing segment??
    10·1 answer
  • Keran works for 85 hours throughout a two-week period. She earns 1,891.25 throughout this period. How much does Karen earn for e
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!