The CPU of a personal computer has a lifetime that is exponentially distributed with a mean lifetime of six years.
A) What is the probability that the CPU fails within three years? (6 points) (Round your answer to 4 decimal places)
B) Assume that your corporation owned 10 CPUs, and assume that the CPUs fail independently. What is the probability that at least one fails within three years? (8 points) (Round your answer to 4 decimal places)

Answers

Answer 1

Answer: 0.393 ; 0.9933

Step-by-step explanation:

Given that :

Mean lifetime follows an exponential distribution (m) = 6

a. What is the probability that the CPU fails in the next three years?

Using the poisson distribution formula :

1 - e^-λt

λ = 1/m = 1 / 6 = 0.1667

Probability of failure in next 3 years :

P(X < 3) = 1 - e^-λx

P(X < 3) = 1 - e^-0.1667*3

P(X < 3) = (1 - e^-0.5)

P(X < 3) = 1 - 0.6065306

P(X < 3) = 0.3934693

= 0.3935

b. Assume that your corporation has owned 10 CPUs for three years, and assume that the CPUs fail independently. What is the probability that at least one fails within the next three years?

Number of pc owned = 10

CPU failure is indepndent

Probability of atleast one fails :

1 - P(X ≥ 3)^n

P(X ≥ 3) = 1 - P(X < 3)

P(X ≥ 3) = 1 - 0.3935 = 0.607

Hence,

1 - P(X ≥ 3) = 1 - 0.6065^10

1 - P(X ≥ 3) = 1 - 0.0067345

1 - P(X ≥ 3) = 0.993265

= 0.9933


Related Questions

help im bad at math AHHHHHHHHHHHHHHHHHHHHH

Answers

Answer:

36

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

because am very good at math

Consider the enlargement of the triangle.

A small and large triangle with corresponding bases and heights.

Which proportional statements are true of the enlargement? Check all that apply.
StartFraction height original over base original EndFraction = StartFraction height enlargement over base enlargement EndFraction
StartFraction base original over base enlargement EndFraction = StartFraction height original over height enlargement EndFraction
StartFraction base original over height enlargement EndFraction = StartFraction height original over base enlargement EndFraction
StartFraction base enlargement over height enlargement EndFraction = StartFraction base original over height original EndFraction
StartFraction height original over base enlargement EndFraction = StartFraction height enlargement over base original EndFraction

Answers

Answer:

a,b,d

Step-by-step explanation:

edge 2020

Answer: a,b,d

Step-by-step explanation:

There are 23 red shirts and 16 white shirts they will be put onto shelves in piles of 8 how many shirts will not fit evenly into 8 piles

Answers

Given :

There are 23 red shirts and 16 white shirts they will be put onto shelves in piles of 8.

To Find :

How many shirts will not fit evenly into 8 piles.

Solution :

We need to find the number of shirts which will not fit evenly into 8 piles.

What we need is the remainder of 23 divided by 8.

23 = 8×2 + 7

So, their are 7 shirts which will not fit evenly.

Hence, this is the required solution.


Krutika, Sara & Natasha share some money in the ratio 5:10:1.
In total, Krutika and Natasha receive £78.
How much does Sara get?​

Answers

Answer:

130

Step-by-step explanation:

78/6=13

13*10=130

This data is an example of
X-4
y 6
-2
3
2
3.
4
6
A a linear function
B. a nonlinear function
c neither a linear nor nonlinear function it is not a function at all

Answers

the answer is c i think so

4. See if you can find "like-terms" in the expression and
simplify it.
4 - 2x + x^2 -+ 5x + 12 + 2x^2
of

Answers

Answer:

3x^2 +3x +16

Step-by-step explanation:

do you need an explanation? if so I can put it in the comments

If g(x) = 3x - 1 and if g(a) = 7, then which of the following is the value of a?

Answers

Answer:

So,

[tex]g(x) = 3x - 1[/tex]

And,

[tex]g(a) = 3a - 1[/tex]

But, given g(a) = 7

So, from 2nd and 3rd step,

3a-1=7

3a=6

Therefore, a = 2

Answer:

8/3

Step-by-step explanation:

So if a=x then 3a-1=7 therefore 3a=8 and a=8/3

a bracelet was $199 but it was marked down to $150. what is the percent markdown (percent increase)? round to the nearest 10th

Answers

Answer:

Step-by-step explanation:24.6%

Answer:

75.73

Step-by-step explanation:

Jennifer and two friends went out to eat. Their bill was $54.25 and they need to pay tax of 8% and leave a 17% tip. If they split the bill evenly, how much will they each pay?

Answers

Answer: $22.8501

Step-by-step explanation:

Since their bill was $54.25 and they need to pay tax of 8% and leave a 17% tip, the total amount that will be paid will be:

= $54.25 + (8% × $54.25)

= $54.25 + (0.08 × $54.25)

= $54.25 + $4.34

= $58.59

We then add the 17% tip. This will be:

= $58.59 + (17% × $58.59)

= $58.59 + (0.17 × $58.59)

= $58.59 + $9.9603

= $68.5503

Since they want to split the bill evenly, we divide the total amount gotten by 3. This will be:

= $68.5503 / 3

= $22.8501

Each person will pay $22.8501

Connor bought a pack of 4 notebooks for $8.20. What was the unit price?

Answers

Answer:

$2.05

Step-by-step explanation:

Take the total cost divided by the amount bought i.e. 8.20/4

You would inverse the operation so it would be 8.20/4 which equals 2.05

Given: ∠T ≅ ∠V; ST || UV
Prove: TU || VW

4 connected lines are shown. A line from point S goes slightly down and to the left to point T to form S T. A line from point T goes slightly down and to the right to point U to form T U. A line from point U goes slightly down and to the left to point V to form U T. A line goes slightly down and to the right to point W to form point W.

Complete the two-column proof.
PLEASE HURRYY

Answers

Answer:

Because if ∠T ≅ ∠V, and ST || UV,

the line will go down degrees to form TU || VW.

Answer:

Step-by-step explanation:

Given: ∠T ≅ ∠V; ST || UV

Prove: TU || VW

4 connected lines are shown. A line from point S goes slightly down and to the left to point T to form S T. A line from point T goes slightly down and to the right to point U to form T U. A line from point U goes slightly down and to the left to point V to form U T. A line goes slightly down and to the right to point W to form point W.

Complete the two-column proof.

♣ =

✔ alternate interior angles theorem

♦ =

✔ transitive property

♠ =

✔ converse alternate interior angles theorem

just did the assignment

i need help plz look at the piv ​

Answers

Answer:

5 hours

Step-by-step explanation:

2*4=8

28-8=20

20/4=5

In a probability experiment, Craig rolled a six-sided die 64 times. The die landed on a number greater than three 39 times. What is the ratio of rolls greater than three to rolls less than or equal to three?
A.


B.


C.


D.

Answers

Answer:

The ratio is 34/22, or in simplest form, 17/11.

Step-by-step explanation:

We write the ratio with the number of rolls greater than three on top and the number of rolls less than or equal to 3 on bottom:

34/(56-34)

We have to subtract 34 from 56 to find out how many rolls were less than or equal to 3.

34/22

Both are divisible by 2, so we have 17/11.

Hey, people so I have a question, so my sister is scared of toilet paper and gets mad at me when I make fun of her. She says it might be that she has OCD and gets upset saying I mock her but, but she literally has no signs of OCD and I think she's being weird. So like can yall tell me your opinions if she has issues or she just being weird.

Answers

I Googled the symptoms. They are as follows:

Behavioural: compulsive behaviour, agitation, compulsive hoarding, hypervigilance, impulsivity, meaningless repetition of own words, repetitive movements, ritualistic behaviour, social isolation, or persistent repetition of words or actions

Mood: anxiety, apprehension, guilt, or panic attack

Psychological: depression or fear

Also common: food aversion, nightmares, or repeatedly going over thoughts

I think she is just being wierd. I myself sometimes get scared by looking in the sky. I think that what if I leave the Earth and wander in the space and I don't have any oxygen to breathe. Ask your sister what makes her scared of toilet paper. Don't make fun of her or she will not share her thoughts with you.

A high-speed elevator can rise 480 feet in 30 seconds. Which expression represents the rate, in FEET PER SECOND, of the elevator?
PER SECOND NOT PER MINUTE PER SECOND!!!

Answers

Answer:

16 feet per second

Step-by-step explanation:

Divide 480 feet by 30 seconds.

What is 50% of 3000? *
What is 15% of 150 leave as decimal

Answers

Answer:

50% of 3000 is 150015% of 150 is 22.5

Hope this helps!!


The height of Mount Everest is 8,848 m and the height of Aconcagua is 6,962 m.
What is the percentage increase from Aconcagua to Everest?
A.22.6%
B.24.1%
C.27.1%
D.25.5%

Answers

Answer:

22.6

Step-by-step explanation:

Answer:

B.i think

Step-by-step explanation:

hopethis helps

what is the ratio of vowels to consonants in the word phone

Answers

Answer: 2:3

Step-by-step explanation:

There are 2 vowels and 3 consonants therefore, this is the correct ratio.

Here is your perfect answer

One serving of Dominique’s chips has 210 calories and a mass of 15 grams. How many calories are in 6 grams of the chips?
A-35
B-84
C-201
D-525

Answers

Answer:A

Step-by-step explanation:isuausie

Factor the quadratic expression 3x^2 + 4x - 4*

Answers

Answer:

(3−2)(+2)

Step-by-step explanation:

Answer:(x+2)(3x-2)

Step-by-step explanation:

3x^2 +4x-4

AC method

_×_= ac=-12

_+_=b = 4

6 and -2

But because a is multiplied by 3 you need to divide both by 3 so 6/3 is 2 and because you can not divide -2 by three you move the 3 back to the x and leave it as (3x-2)

1.What shape container could be constructed to hold 3 tennis balls stacked that would allow the most efficient use of the container's volume, and why?
2. Use geometric shapes and their properties to describe five objects that you see every day?

Answers

Answer:

1. 3, because there is 3 tennis balls and number two is cylinder prism.

Step-by-step explanation:

-(- 3.8a - 9b + 5.8)​

Answers

Answer:

3.8a + 9b - 5.8

Step-by-step explanation:

distributing the negative

The sum of six times a number and 7 is 8

Answers

(6•x) + 7 = 8
6x + 7 = 8
6x = 1
X = 1
X= 1



Anything by else you need help with !

help me with this one

Answers

It should be B. x=6 y=13

Someone please help me find

Domain
Range
X-intercepts
Y-intercepts

Answers

Domain - -3 to 5
Range - -5 to 4
X-intercept - -2
There is no y intercept

It takes 4 pounds of apples to make 6 cups of applesauce. At this rate, how much applesauce can you make with 7 pounds of apples?

Answers

Answer:

10 1/2 cups.

Step-by-step explanation:

4 pounds of apples make 6 cups apple sauce.

So  1 pound apples makes 6/4 = 1 1/2 cups of sauce.

7 pounds will make 1 1/2 * 7

= 10 1/2 cups sauce.

10 and 1/2 cups sauce can be made with 7 pounds of apples.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

for example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

4 pounds of apples = 6 cups apple sauce.

So, 1 pound apples makes = 6/4

Now, 7 pounds will make 1 1/2 * 7

= 7 x 6/4

= 7 x 3/2

= 21/2 cups sauce.

Hence, 10 and 1/2 cups sauce can be made  with 7 pounds of apples.

Learn more about Unitary method here:

https://brainly.com/question/22056199

#SPJ2

Cant seem to figure this out

Answers

Answer:

59

Step-by-step explanation:

c= 60
67+54=121
180-121 = 60

During the Lakers game, Kobe made 19 shots; some were 2-pointers and the others were 3-pointers. If he scored 45 points, how many were 2 pointers. How many 3-pointers?

Answers

Five 3 pointers and two 2 pointers

Step-by-step explanation:

The required expression that represents the number of 2 pointers and 3 pointers scored is 2x + 3y = 45 where x represents the number of 2 pointers and y tend the number of 3 pointers.

Given that, During the Lakers game, Kobe made 19 shots; some were 2-pointers and the others were 3-pointers. If he scored 45 points, how many were 2 pointers. How many 3-pointers is to be determined.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Let the number of 2 pointer be x and the number of 3 pointer be y,
According to the question,
2x + 3y = 45
where x represents the number of 2 pointers and y tend the number of 3 pointers.

Thus, the required expression that represents the number of 2 pointers and 3 pointers scored is 2x + 3y = 45.

Learn more about simplification here: https://brainly.com/question/12501526

#SPJ2

What is the image point of P under the translation (x,y) (x-4,y-6)

Answers

im sorry but is it a option choice?

if so its the answers are b b d a

sorry if i did not help.

Jack's goal is to lose 4.25 pounds every month. If he keeps this up, how much weight will he have lost after 9.5 months?
round to the nearest hundredth

Answers

Answer:

40.38 pounds (rounded)

Step-by-step explanation:

4.25 times 9.5

Answer:

40 pounds

Step-by-step explanation:

4.35x9.5=40.375

if you round the answer/40.375

You get 40

Therefore, the answer is 40 pounds

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