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Dafna1 [17]
3 years ago
5

The CPU of a personal computer has a lifetime that is exponentially distributed with a mean lifetime of six years. a) What is th

e probability that the CPU fails within three years?
Mathematics
1 answer:
amm18123 years ago
7 0

Answer: Our required probability is 0.39.

Step-by-step explanation:

Since we have given that

X be the exponentially distributed with mean life = 6 years

So, E[x]=6

\dfrac{1}{\lambda}=6\\\\\lambda=\dfrac{1}{6}

So, our cumulative distribution function would be

F(x)=1-e^{-\lambda x}

We need to find the probability that the CPU fails within 3 years.

P(X

Hence, our required probability is 0.39.

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Answer:

9x +  \frac{7}{2}  - (x - (x -  \frac{2}{7} )) = 36 \\ 9x +  \frac{7}{2}  - x + x  - \frac{2}{7}  = 36 \\ 9x +  \frac{7}{2}  -  \frac{2}{7}  = 36 \\ 9x +  \frac{49 - 4}{14}  =  36 \\ 9x +  \frac{45}{14}  = 36 \\ 9x = 36 -  \frac{45}{14}  \\ 9x =  \frac{504 - 45}{14}  \\ 9x =  \frac{459}{14}  \\ x =  \frac{459}{14 \times 9}  =  \frac{459}{126}  \\ x = 3 . 64 \\ thank \: you

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2 years ago
Select Correct or Incorrect for each equation.
AlekseyPX

Answer:

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2 years ago
How is the product of 2 and –5 shown using integer tiles? 2 positive tiles and 5 negative tiles. 2 negative tiles and 5 positive
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6 0
3 years ago
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Assuming the loan is as described, seven-year loan, which means that Kyle does not repay a cent before seven years.

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3 years ago
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