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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:

marcus saved 31.25

Step-by-step explanation:

8 0
2 years ago
Which of these number words represents the numeral 4,056? four thousand, five hundred six four thousand, five hundred fifty-six
hjlf

Solution:

we have been asked to find

Which of the given number words represents the numeral 4,056?

Its about the counting.

On unit place we have 6.

on Tenth place we have 5.

on hundredth place we have 0.

On Thousand place we have 4.

so in our number word representation there will be no "Hundreds".

So it will make

Hence the given number words representing the numeral 4,056 is Four thousands and fifty six

4 0
3 years ago
Read 2 more answers
What is n in 3/5n + 15 =10+2/5n
Phantasy [73]
Simplify both sides of the equation.

<span><span><span><span>3/5</span>n </span>+ 15 </span>= <span><span><span>2/5</span>n </span>+ 10


</span></span>Subtract 2/5n from both sides.

<span><span><span><span><span>3/5</span>n </span>+ 15 - </span><span><span>2/5</span>n </span></span>= <span><span><span><span>2/5</span>n </span>+ 10 - </span><span><span>2/5</span>n</span></span></span><span><span><span><span>15</span>n </span>+ 15 </span>= 10


</span>Subtract 15 from both sides.

<span><span><span><span><span>1/5</span>n </span>+ 15 - </span>15 </span>= <span>10 - 15</span></span><span><span><span>1/5</span>n </span>= -<span>5


</span></span>Multiply both sides by 5.

<span><span>5 </span></span>× (1/5n) = (5) × (−5)<span>n = -<span><span>25


Answer: n is -25.</span></span></span>
8 0
3 years ago
Read 2 more answers
What is the slope of the line shown in the graph? (4 points)
Korvikt [17]

Answer:

a. or \frac{3}{-2}

Step-by-step explanation:

Slope is equal to y1-y2 over x1-x2.

So the equation would be:

\frac{2-(-1)}{-3-(-1)}

2-(-1)=2+1=3

-3-(-1)=-3+1=-2

So the answer is:

\frac{3}{-2}

5 0
2 years ago
Seven cereal bars are shared equally by 3 students. How many does each student receive?I really need help and my teacher won't h
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Answer:

Each student gets 2 1/3

Step-by-step explanation:

So you would divide 7 by 3, which you can't...so 6 divided by 3 is 2, and when you split the last one into thirds you can each have 1/3. Add the sections together, and each person gets 2 1/3

7 0
2 years ago
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