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1 answer:
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Answer:
Expected load loss = 1.35
P (Load Loss) = 0.127
Step-by-step explanation:
The probability of failure is: <em>q</em> = 0.015
The probability of success is: <em>p</em> = 1 - <em>q</em> = 1 - 0.015 = 0.985
The number of units the generation system is composed of is, <em>n</em> = 9.
The capacity of each unit is 10 MW.
Let <em>X</em> = number of units that failed or are unavailable.
The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> and <em>q.</em>
The probability function is:
; <em>x</em> =0, 1, 2, 3...
- The expected number of failures is:
Then the expected load loss is:
Thus, the expected load loss is 1.35.
- The load loss will be when at least one unit fails.
The probability that at least one unit fails is:
P (X ≥ 1) = 1 - P (X < 1) = 1 - P (X = 0)
Thus, the probability of load loss is 0.127.
Answer:
10%
-0.1
1/4
Step-by-step explanation:
Complete question
Consider these numbers, ordered from least to greatest. Negative 1.8, negative 1 and one-fourth, negative 0.2, blank, one-half, 90 percent A number line going from negative 2 to positive 1. Which values could correctly fill in the blank? Select all that apply. 10% 1 -0.1 -1 One-fourth
step-by-step explanation
On the number line, numbers increase from left to right.
The blank is between -0.2 and 1/2.
Only numbers greater than -0.2 and less than 1/2 can fill the blank.
Range = -0.2<x<1/2
From the values given,
1) 10% = 10/100 = 1/10 = 0.1
-0.2<0.1<1/2
2) -0.2<1
But, 1>1/2
3) -0.2<-0.1<1/2
4) -0.2>-1
5) -0.2<1/4<1/2
Therefore, only 10%, -0.1, and 1/4 can fill in the blank correctly because they satisfy the range -0.2<x<1/2
