1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
pickupchik [31]
3 years ago
10

Consider two hard disks, d1, and d2, such that in 50,000 hours of operation d1 fails with probability 1/3 and d2 fails with prob

ability 1/4 (independent of each other). Suppose that we pick uniformly at random one of the two disks to use in a data server. What is the probability that we picked d2 for the server given that there was a disk failure during the 50,000 hours of server operation? Explain your answer.
Hint: Use the Bayes formula. The problem is similar to the biased die example presented in class.
Mathematics
1 answer:
Alenkinab [10]3 years ago
5 0

Answer:

0.25

Step-by-step explanation:

Let A be the event that we pick d2, and B is the event that the disk failure during 50000 hours operation

According to Bayes formula theorem, the probability that the disk d2 given that there was a disk failure during the 50000 hours of server operation:

P(A|B) = \frac{P(B|A) * P(A)}{P(B)}

Where P(B|A) is the probability that the disk would fail during the 50000 hours operation given that it's d2, which is 1/4.

P(A) is the probability that d2 is pick, which is 0.5 since we pick uniformly.

P(B) is the probability that (any) disk fails during 50000 hours operation. We can calculate by first calculate the probability that no disk would fail, which is

(1 - \frac{1}{3})(1 - \frac{1}{4}) = \frac{2}{3}\frac{3}{4} = \frac{1}{2}

Then we can subtract this from 1 to find P(B) = 1 - 1/2 = 1/2

Therefore,

P(A|B) = \frac{0.25 * 0.5}{0.5} = 0.25

You might be interested in
1.) What is the measure of ∠K, to the nearest degree?
lora16 [44]
We know that
the law of sines establish
a/sin A=b/sin B

problem N 1

50/sin K=53/sin 76-------> 50*sin 76=53*sin K-----> sin K=50*sin 76/53
sin K=0.9154
K=arc sin (0.9154)--------> K=66.25°------> K=66°

the answer problem N 1 is the option
<span>c.) 66°
</span>
Problem N 2

30/sin R=35/sin 69------> sin R=30*sin 69/35-----> sin R=0.8002
R=arc sin(0.8002)-------> R=53.15°-----> R=53°

the answer problem N 2 is the option
<span>b.) 53°</span>
5 0
3 years ago
Read 2 more answers
If the area around the vegetable garden is of uniform width (labeled with x) and the dimensions of the vegetable garden is 45 fe
Nady [450]
Area of Rectangle = Width × Length

Vegetable Garden
Width = 20
Length = 45
Area of Vegetable Garden = 20×45=900 Sq ft

Area of Entire Garden = Width × Length
Width = 20 + 2x
Length = 45 + 2x
Area = (20 + 2x)(45 + 2x)
(2x + 20)(2x + 45)
4x^2 + 90x + 45x + 900
Area of Entire Garden = 4x^2 + 135x + 900

Area of Flower Garden = Area of Entire Garden - Area of Vegetable Garden

(4x^2 + 135x + 900) - (20 × 45)
4x^2 + 135x + 900 - 900
Area of Flower Garden = 4x^2 + 135x

7 0
3 years ago
Please help ASAP I will appreciate it
kolbaska11 [484]

Answer:

2 i think

Step-by-step explanation:

8 0
3 years ago
Plzzz help with all of the questions and plzZZZzZz show work I really need help I’m not understanding help with all the question
statuscvo [17]

Answer:

slope of EF=\frac{5}{3}  

∠QSR=45°,

∠PTQ=90°

if  RT=24

then SQ=48

square is always a rectangle

∠SUT=21°

Step-by-step explanation:

two line are perpendicular to each other if product of their slope equal to -1

m_{1}\times m_{2}=-1

slope of HE=m_1=-\frac{3}{5}

slope of EF=m_2

slope of EF=-1\frac{-5}{3}=\frac{5}{3}

slope of EF=\frac{5}{3}    answer

∠QSR=45°,

∠PTQ=90°

if  RT=24

then SQ=48

square is always a rectangle

given ∠SUT=3x+6

        ∠RUS=5x-4

∠SUT=∠RUS

3x+6=5x-4

x=5

∠SUT=3x+6=15+6=21°

∠SUT=21°

5 0
3 years ago
The process of making the anything holder je called?
nlexa [21]

Answer:

C

Step-by-step explanation:

Assembly

That's the answer

I think

8 0
2 years ago
Other questions:
  • How to find these answers?
    5·1 answer
  • a car travels 83 7/10 miles on 2 1/4 gallons of fuel. which is the best estimate of the car travels on one gallon of fuel
    15·1 answer
  • Find the sum of the polynomials: (x2 + 4x + 5) + (3x – 3)
    15·2 answers
  • A granola bite contains 27 calories. Most of the calories come from c grams of carbohydrates. The rest come from other ingredien
    8·1 answer
  • What happens to the volume of a rectangular prism when each of the dimensions is doubled
    7·1 answer
  • (1) 16 liters of kerosene is needed for 12 stoves 14
    6·2 answers
  • An individual is baking 3 batches of cookies. They used 2.6 oz. of vanilla in one batch of the cookies, 1.4 oz. of vanilla in th
    7·1 answer
  • Brandon and his friend adam both mow lawns.Brandon earns $375 per week mowing 15 lawns while Adam earns $500 per week mowing 25
    8·1 answer
  • Do all number lines show only whole number
    7·1 answer
  • Question 4 of 10
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!