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
Murljashka [212]
3 years ago
9

The time to failure (in hours) of fans in a personal computer can be modeled by an exponential distribution with l=0.0003

Mathematics
1 answer:
Dvinal [7]3 years ago
3 0

Answer: 0.0497870 ; 0.87754

Step-by-step explanation:

Given that :

λ = 0.0003

Defining a continuous distribution function :

F(x) = 1 - e^-λx = 1 - e^-0.0003x ; x ≥ 0

a. What proportion of the fans will last at least 10,000 hours?

P(x ≥ 10000) = e^-0.0003(10000) = 0.0497870

b. What proportion of the fans will last at most 7000 hours?

P(x ≥ 7000) = 1 - p(x ≤ 7000) = 1 - e^-0.0003(7000)

1 - 0.12245642825 = 0.87754

You might be interested in
Clara invests $5,000 in an account that pays 6.25% interest per year. After how many years will her investment be worth $10,000?
Pepsi [2]
T=log(10000/5000)/log(1.0625)=11.4y
7 0
3 years ago
-5|x+1|=10 solve for x
katrin [286]

Answer:

x=-3

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Mrs riddle has $543.73 in her bank account? She writes a check for $840.00. By how much has she overdrawn her account?
Alexxandr [17]

Answer: im only in middle school so this might be wrong but...

-296.27

Step-by-step explanation:

because

3 0
3 years ago
Find the differential equation of the family of tangent lines to the parabola y^2 = 2x
dusya [7]
\bf 
y^2=2x\implies y=\sqrt{2x}\implies y=x^{\frac{1}{2}}
\\ \quad \\
\cfrac{dy}{dx}=\boxed{?}
5 0
3 years ago
I need help with division help please
tigry1 [53]
24/6=4 24/8=3 4/4=1 12/6=2 48/8=6 give me a thanks and message me all the other ones u want me to answer
7 0
2 years ago
Other questions:
  • Simplify please: 7x^{2}-4x^{2}y-x^{2}+8x^{2}y
    5·1 answer
  • I want to make sure of my answer is right?
    15·1 answer
  • Please help 30 points
    9·1 answer
  • 1/2 x blank minus 13 equals 15
    10·1 answer
  • S. Your kitchen has a 9- foot ceiling. To the nearest half foot, what is
    11·1 answer
  • A 250-gal tank is initially filled with brine (salt-water mixture) containing 100 lb of salt. Brine containing 3 lb of salt per
    8·1 answer
  • 8 pencils cost 3.44 What is the unit of one pencil?
    6·1 answer
  • If AB = 11, BC = 16 and CA = 14, list the angles of ABC in order from smallest to largest.
    8·1 answer
  • PLEASE HELP ASAP I WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER
    14·2 answers
  • 3. A barrel contained 60 gallons of water. Water leaked out of the barrel at a rate of 5
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!