answer.
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
Aliun [14]
2 years ago
11

The time between failures for an electrical appliance is exponentially distributed with a mean of 25 months. What is the probabi

lity that the next failure will not occur before 30 months have elapsed
Mathematics
1 answer:
katrin [286]2 years ago
7 0

Answer:

The probability that the next failure will not occur before 30 months have elapsed is 0.0454

Step-by-step explanation:

Using Poisson distribution  where

t= number of units of time

x= number of occurrences in t units of time

λ= average number of occurrences per unit of time

P(x;λt) = e raise to power (-λt)  multiplied by λtˣ divided by x!

here λt = 25

x= 30

P(x= 30) = 25³⁰e⁻²⁵/ 30!

P (x= 30) = 8.67 E41 * 1.3887 E-11/30!    (where E= exponent)

P (x=30) = 1.204 E31/30!

Solving it with a statistical calculator would give

P (x=30) = 0.0454

The probability that the next failure will not occur before 30 months have elapsed is 0.0454

You might be interested in
The width of a rectangle is three times its height. If it has an area of 60.75 square feet, what are its dimensions?
horrorfan [7]
The answer is D my dude don’t over think. Since it’s are multiply your answer choices till you reach 60.75
8 0
1 year ago
Read 2 more answers
Kevin has had a checking account for a month. As he reconciles his account, Kevin notices that the dates on his check register d
Anika [276]
The most likely answer is D) <span>"The date that the check is written is usually a few days before it is cashed. We record when it was cashed and you record when its written". 

There is usually a delay between when you write someone a check (and record it in your ledger) and when that person cashes it (when the bank records it). </span>
7 0
1 year ago
you plan to buy a bicycle that will cost at least 180. you have saved 38 and your parents have given you 50. how much more money
shutvik [7]

Answer:

$92

Step-by-step explanation:

  • add what you saved and the parents gave you
  • subtract that by 180
  • $92
4 0
1 year ago
Jean spent $16 on new T-shirts. If each shirt cost the same whole-dollar amount, how many could she have bought?
Kaylis [27]
Well $16 times 16 would be $256.
If each shirt costs $1 then she could buy 16 shirts.
4 0
1 year ago
Read 2 more answers
If testing the claim that sigma subscript 1 superscript 2 baseline not equals sigma subscript 2 superscript 2σ21≠σ22​, what do w
12345 [234]

Answer:

The statistic for this system of hypothesis is given by:

F=\frac{s^2_1}{s^2_2}

If the statistic is equal to 1 then that means s^2_1 = s^2_2 and we don't have enough evidence to conclude that the two population variances and deviations are different.

Step-by-step explanation:

System of hypothesis

We want to test if the variation for a group1 is equal to another one 2, so the system of hypothesis are:

H0: \sigma^2_1 = \sigma^2_2

H1: \sigma^2_1 \neq \sigma^2_2

Calculate the statistic

The statistic for this system of hypothesis is given by:

F=\frac{s^2_1}{s^2_2}

If the statistic is equal to 1 then that means s^2_1 = s^2_2 and we don't have enough evidence to conclude that the two population variances and deviations are different.

6 0
2 years ago
Other questions:
  • How do I solve w(x)=4x 5; find w(-8)?
    13·1 answer
  • What system of linear inequalities is shown on the graph?
    9·2 answers
  • Explain what it means to have a correlation in a scatterplot.
    9·2 answers
  • Caleb’s puppy weighs 2,250 grams. If the puppy weighed 600 grams at his last visit to the veterinarian’s office, what is the per
    13·1 answer
  • For 7 years, Sheri deposits $3350 at the end of each year into an account that earns 19.7% per year compounded annually. Determi
    12·1 answer
  • The trace of a square n×n matrix A=(aij) is the sum a11+a22+⋯+ann of the entries on its main diagonal. Let V be the vector space
    7·2 answers
  • Find a linear equation to model this real-world application:
    10·1 answer
  • Steve determined the number of states each of his friends has visited. A number line goes from 0 to 44. The whiskers range from
    14·2 answers
  • 54.6g of sugar is needed to make 7 cakes. How much sugar is needed for 12 cakes?<br> |
    9·2 answers
  • Parallel Processing uses two or more computers, working together, to solving a problem. You connect two different computers; com
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!