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
djyliett [7]
3 years ago
5

The length of time between breakdowns of an essential piece of equipment is important in the decision of the use of auxiliary eq

uipment. An engineer thinks that the best model for time between breakdowns of a generator is the exponential distribution with a mean of 14 days. If the generator has just broken down, what is the probability that it will break down in the next 21 days
Mathematics
1 answer:
mina [271]3 years ago
5 0

Answer: The probability that it will break down in the next 21 days is 0.777

Step-by-step explanation:

Let the random variable x represent

time between breakdowns of a generator

Given that mean = 14 days,

Decay parameter, m = 1/14

The probability density function for exponential distribution is expressed as

F(x) = me-mx

It becomes

f(x) = 1/14e-(x × 1/14)

P(X < x) = 1 - e- mx

The probability that it will break down in the next 21 days is expressed as

P(x ≤ 21) = P(x < 21)

Therefore,

P(x < 21) = 1 - e-(1/14 × 21)

= 1 - e-1.5

= 1 - 0.223 = 0.777

P(x ≤ 21) = 0.777

You might be interested in
Hannah lost four points on a test and earned four points on an extra credit question what does the sum of 0 mean in the descript
Dominik [7]

Answer:

Is that it's not about the answers and the questions

5 0
3 years ago
The perimeter of a square is 96 inches. if the side length is 2x + 4, what is the value of x and the length of each side?
andriy [413]
Subtract 4 from 96 and divide by 2
4 0
3 years ago
The temperature in Scottsdale increased by 2 degrees in 2 days. If the temperature changed by the same
Vsevolod [243]

Answer:

yniar hcum oot sti ereh pleh esaelp retaw eht rednu ma i uoy era woh olleh

Step-by-step explanation:yniar hcum oot sti ereh pleh esaelp retaw eht rednu ma i uoy era woh ollehyniar hcum oot sti ereh pleh esaelp retaw eht rednu ma i uoy era woh ollehyniar hcum oot sti ereh pleh esaelp retaw eht rednu ma i uoy era woh ollehyniar hcum oot sti ereh pleh esaelp retaw eht rednu ma i uoy era csacasccacwoh ollehyniar hcum oot sti ereh pleh esaelp retaw eht rednu ma i uoy era woh ollehyniar hcum oot sti ereh pleh esaelp retaw eht rednu ma i uoy era woh ollehyniar hcum oot sti ereh pleh esaelp retaw eht rednu ma i uoy era woh ollehyniar hcum oot sti ereh pleh esaelp retaw eht rednu ma i uoy era woh olleh

5 0
2 years ago
An answer would be nice ​
liberstina [14]

Answer:

1) 90

Step-by-step explanation:

157.50 / 7 = 22.50 or 270 / 12 = 22.50

22.50 * 4 = 90

5 0
3 years ago
Read 2 more answers
If x=6 and y=-3 then find (xy)²​
aniked [119]
324



Step by step explanation This is how I got the answer to your question and I gave you the solution I hope this helps you out
6 0
2 years ago
Read 2 more answers
Other questions:
  • Which expression is equivalent to Negative 32 Superscript three-fifths?
    10·2 answers
  • Suppose you are adding 43 and 28. will you regroup??? and Explain
    15·1 answer
  • The mean for your data set is 13. The standard deviation is 2.5. What is the z-score for 10? Note 1: If necessary, round your an
    5·1 answer
  • Math Simplify the expression ​
    14·1 answer
  • Avyd is selling raspados .75 and elote for 1.25. Jasmin spent $8.25 to buy a total of 9 items. How many raspados did she buy?​
    14·1 answer
  • If you shift the absolute value parent function, F(x) = |x|, right 9 units, what is the equation of the new function
    12·1 answer
  • The number 70 is decreased to 68. What is the percentage by which the number was decreased, to the nearest tenth of a percent?​
    11·1 answer
  • A box is dragged 16 m across a level floor by a 25-N force at an angle of 45° to the floor. It is then dragged by
    14·1 answer
  • I = $54, P = $800, r = 4.5%, What is the time
    5·1 answer
  • In the parrallelogram, find y.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!