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Marrrta [24]
2 years ago
14

There are three workstations available having steady-state probabilities of 0.99, 0.95, 0.85 of being available on demand. What

is the probability that at least two of the three will be available at any given time?
Mathematics
1 answer:
faust18 [17]2 years ago
3 0

Answer:

99.065% probability that at least two of the three will be available at any given time.

Step-by-step explanation:

We have these following probabilities:

99% probability of the first workstation being available

95% probability of the second workstation being available

85% probability of the third workstation being avaiable

Two being available:

We can have three outcomes

First and second available, third not. So

0.99*0.95*0.15 = 0.141075

First and third available, second not. So

0.99*0.05*0.85 = 0.042075

Second and third available, first not. So

0.01*0.95*0.85 = 0.008075

Adding them all

P(2) = 0.141075 + 0.042075 + 0.008075 = 0.191225

Three being available:

P(3) = 0.99*0.95*0.85 = 0.799425

What is the probability that at least two of the three will be available at any given time?

P = P(2) + P(3) = 0.191225 + 0.799425 = 0.99065

99.065% probability that at least two of the three will be available at any given time.

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Step-by-step explanation:

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Answer:

10.9

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2 years ago
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Answer:

nope

Step-by-step explanation:

Volume of a cube = a^3

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V= 512 cubic inches

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3 years ago
F (x) = cx + 3
algol13

<em>If f(1) = 1 that means c is -2 because when you substitute x = 1 and when c = -2, you'll get f(1) = -2(1)+3 = -2+3 = 1</em>

<em>So the constant c is -2 and that means the value of f(-4) is</em>

<em>f(-4)=-2(-4)+3=8+3=11</em>

<em />

<em>Thus, the value of f(-4) is 11.</em>

<em />

<em>About why does "c" have to be -2, here's the proof.</em>

 <em>Given y = f(x), therefore.</em>

<em>y=cx+3</em>

<em>Since when x = 1 and y = 1, then Substitute x = 1 and y = 1, thus 1 = c+3</em>

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