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
Damm [24]
4 years ago
6

The probability density function of the time to failure of an electronic component in a copier (in hours) is f(x) = (e^-x/1076)/

(1076) for x>0. Determine the probability that
(A) A component lasts more than 3000 hours before failure. (Round the answer to 3 decimal places.)

(B) A component fails in the interval from 1000 to 2000 hours. (Round the answer to 3 decimal places.)

(C) A component fails before 1000 hours. (Round the answer to 3 decimal places.)
Engineering
1 answer:
Studentka2010 [4]4 years ago
8 0

Answer:

a. P(X>3000) = 0.062

b. P(1000 > X > 2000) = 0.239

c. P(X<1000) = 0.605

Explanation:

Given

The General Probability Density Function of the random variable is is given as follows:

f(x) = e^-(x/1076)/1076 for x >0

To calculate the probability, we make use of

P(a<X<b) = 1/1076 ∫ e^-(x/1076) dx {b,a}

P(a<X<b) = e^-(x/1076) {b,a}

P(a<X<b) = e^-(a/1076) - e^-(b/1076)

a. P(X>3000)

This translates to

P(∞ > X > 3000)

= e^-(3000/1076) - e^-(∞/1076)

= e^-(3000/1076) - 0

= e^-(3000/1076)

= 0.061537773515010

= 0.062

b.

P(1000 > X > 2000)

= e^-(1000/1076) - e^-(2000/1076)

= 0.238933619675996

= 0.239

c.P(X<1000)

This translates to

P(0 > X > 1000)

= e^-(0/1076) - e^-(1000/1076)

= 0.605196864611088

= 0.605

You might be interested in
Find the error in the following pseudo code
IRISSAK [1]

Pseudocodes are used as a prototype of an actual program.

The error in the pseudocode is that, the while loop in the pseudocode will run endlessly.

From the pseudocode, the first line is:

<em>Declare Boolean finished = false</em>

The while loop is created to keep running as long as <em>finished = false.</em>

So, for the while loop to end, the finished variable must be updated to true.

This action is not implemented in the pseudocode.

Hence, the error in the pseudocode is that, the while loop is an endless loop

Read more about pseudocodes at:

brainly.com/question/17442954

8 0
2 years ago
Various factors to be considered in deciding the factor of safety?
Eduardwww [97]

Answer with Explanation:

There are various factors that needed to be taken into account while deciding the factor of safety some of which are summarized below as:

1) Importance of the structure: When we design any structure different structures have different importance in our society. Take an example of hospital, in case a natural disaster struck's a place the hospital should be the designed to withstand the disaster as it's role in the crisis management following a disaster is well understood. Thus while designing it we need it to have a higher factor of safety against failure when compared to a local building.

2) Errors involved in estimation of strength of materials: when we design any component of any machine or a structure we need to have an exact idea of the behavior of the material and know the value of the strength of the material. But many materials that we use in structure such as concrete in buildings have a very complex behavior and we cannot estimate the strength of the concrete absolutely, thus we tend to decrease the strength of the concrete more if errors involved in the estimation of strength are more to give much safety to the structure.

3) Variability of the loads that may act on the structure: If the loads that act on the structure are highly variable such as earthquake loads amd dynamic loads then we tend to increase the factor of safety while estimating the loads on the structure while designing it.

4) Economic consideration: If our project has abundant funds then we can choose a higher factor of safety while designing the project.

4 0
3 years ago
A rigid, insulated tank that is initially evacuated is connected through a valve to a supply line that carries helium at 200 kPa
Aleks04 [339]

Answer: a 8143.71 kJ/kg

b 393.15 K

Explanation:

This system is an isobaric process in which there is no change in pressure a quasistatic process where a pressure distribution exists

a since no change in pressure =0 the system does work thus

FOR HELIUM  properties in standard thermodynamic chart

cv = 3.1 kJ/kgK

M = Molar mass = 4 kg/kmol

R = Universal gas constant = 8.314 kJ/kg K

cp ≈ cv +R /M = 3.1 + 8.314 /4 = 5.1785 kJ/kgK  

Cp = cp * M = 5.1785 kJ/kgK * 4 kg/kmol  = 20.714 kJ/kgkmol

T = 120  °C  to Kelvin = 120 + 273.15k = 393.15 K

W =n Cp ΔT = 1 kmol * 20.714 kJ/kg kmol* 393.15 K = 8143.71 kJ/kg

b convert T °C = T K thus 120 + 273.15 K = 393.15 K

P₁/T₁ = P₂/T₂

200 kPa/ 393.15 K = 200 kPa/T₂

T₂ = 200 kPa * 393.15 K/ 200 kPa = 393.15 K or 120 k

7 0
4 years ago
T
solniwko [45]

Answer:

Common Uses: Boxwood is well-suited for carving and turning, and the tree's diminutive size restricts it to smaller projects. Some common uses for Boxwood include: carvings, chess pieces, musical instruments (flutes, recorders, woodwinds, etc.), rulers, handles, turned objects, and other small specialty items.If you want a small, compact, low-growing shrub to form a hedge that serves as an accent or border along your walkway, fence line or planting beds, dwarf boxwood varieties are the best pick. The "Dwarf English" boxwood (Buxus sempervirens “Suffruticosa”) creates a border hedge approximately 1 to 2 feet in height.

Explanation:

3 0
3 years ago
The collapse of the magnetic field inside the ignition coil happens as a
Tanzania [10]
Primary coil


See an example below

3 0
3 years ago
Other questions:
  • Two kg of N2 at 450 K, 7 bar is contained in a rigid tank connected by a valve to another rigid tank holding 1 kg of O2 at 300 K
    13·1 answer
  • A strain gauge with a 4 mm gauge length gives a displacement reading of 1.5 um. Calculate the stress at the location of the stra
    5·1 answer
  • A circuit contains a 40 ohm resistor and a 60 ohms resistor connected in parallel. If you test this circuit with a DMM you shoul
    14·1 answer
  • What is the velocity of flow in an asphalt channel that has a hydraulic radius of 3.404 m, length of 200 m and bed slope of 0.00
    5·1 answer
  • Which of the following sentences correctly uses commas after prepositional phrases
    14·1 answer
  • Why the velocity potential Φ(x,y,z,t) exists only for irrotational flow
    14·1 answer
  • A slab-milling operation will take place on a 6061 Aluminum (free machining) 12" long and 2" wide piece of material. A spiral, h
    13·1 answer
  • The slotted link is pinned at O, and as a result of rotation it drives the peg P along the horizontal guide. Compute the magnitu
    15·1 answer
  • Convert 850 nm wavelength into frequency, eV, wavenumber, joules and ergs.
    11·1 answer
  • Which of the following has special properties that allow forces and pressure to be distributed evenly?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!