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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

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6 0
3 years ago
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Find 2 numbers who product is 15 and sum is 16.​
Marizza181 [45]

Answer:

15 and 1

Step-by-step explanation:

x and y are two numbers.

Two equations:

x · y = 15

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Rearrange one of the equations (I'll rearrange the sum equation):

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x = 16 - y

Substitute that to the other equation and solve for y:

x · y = 15

(16 - y) · y = 15

16 - y · y = 15

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Now substitute that to any of the equation and solve for x (in here, I'll choose the multiplication one):

x · y = 15

x · 1 = 15

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Now verify:

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6 0
3 years ago
Point A is the incenter of △PQR. Find each measure
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The value of each measure based on the incenter is illustrated below.

<h3>What is incenter?</h3>

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Angle ARU = 40 degree

Length of AU = 20

Angle QPA = 35 degree

Since, AR is angle bisector of angle URK.

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Since, incenter point is equidistant from the sides of a triangle.

So, AT = AU = AK = 20

Since, PA is angle bisector of angle QPU.

So,  ∠QPA = ∠UPA

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We get,  ∠QPA = 3(11) + 2 = 35°

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true

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