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
miv72 [106K]
3 years ago
6

The lifetime of LCD TV sets follows an exponential distribution with a mean of 100,000 hours. Compute the probability a televisi

on set:
a. Fails in less than 10,000 hours.
b. Lasts more than 120,000 hours.
c. Fails between 60,000 and 100,000 hours of use.
d. Find the 90th percentile. So 10 percent of the TV sets last more than what length of time?
Mathematics
1 answer:
kondaur [170]3 years ago
3 0

Answer:

0.9

0.3012

0.1809

230258.5

Step-by-step explanation:

Given that:

μ = 100,000

λ = 1/μ = 1 / 100000 = 0.00001

a. Fails in less than 10,000 hours.

P(X < 10,000) = 1 - e^-λx

x = 10,000

P(X < 10,000) = 1 - e^-(0.00001 * 10000)

= 1 - e^-0.1

= 1 - 0.1

= 0.9

b. Lasts more than 120,000 hours.

X more than 120000

P(X > 120,000) = e^-λx

P(X > 120,000) = e^-(0.00001 * 120000)

P(X > 120,000) = e^-1.2

= 0.3011942 = 0.3012

c. Fails between 60,000 and 100,000 hours of use.

P(X < 60000) = 1 - e^-λx

x = 60000

P(X < 60,000) = 1 - e^-(0.00001 * 60000)

= 1 - e-^-0.6

= 1 - 0.5488116

= 0.4511883

P(X < 100000) = 1 - e^-λx

x = 100000

P(X < 60,000) = 1 - e^-(0.00001 * 100000)

= 1 - e^-1

= 1 - 0.3678794

= 0.6321205

Hence,

0.6321205 - 0.4511883 = 0.1809322

d. Find the 90th percentile. So 10 percent of the TV sets last more than what length of time?

P(x > x) = 10% = 0.1

P(x > x) = e^-λx

0.1 = e^-0.00001 * x

Take the In

−2.302585 = - 0.00001x

2.302585 / 0.00001

= 230258.5

You might be interested in
RS= 4y+2, ST = 3y+8, and RT = 38 what is the value of y
emmainna [20.7K]

Answer:

y = 4

Step-by-step explanation:

Given that,

RS= 4y+2, ST = 3y+8, and RT = 38

We need to find the value of y.

As,

RT = RS+ST

Put all the values,

38 = 4y+2+3y+8

38-2-8 = 4y+3y

28 = 7y

y = 4

So, the value of y is equal to 4.

7 0
3 years ago
0.48 = log x solve for x
marissa [1.9K]

Answer: x≈3

Step-by-step explanation:

0.48 = log x , this could also be written as :

log_{10} x = 0.48 , that is

x = 10^{0.48}

x = 3.01995172

x≈ 3

8 0
3 years ago
Find the mean median and the mode of each set of data.are the sets the same
KATRIN_1 [288]
Mode would be sets that are the same
8 0
3 years ago
Please use answer and step by step explanation
kotykmax [81]
I believe its C. because you have to solve for x.
5 0
3 years ago
Read 2 more answers
Kela wants to visit a friend who lives 8 kilometres away. She'll ride the Subway as she can before walking the rest of the way.
Alenkinab [10]

Answer:

Kela will be able to travel for 7 stops before her money runs out.

Step-by-step explanation:

Since Kela wants to visit a friend who lives 8 kilometers away, and she'll ride the subway as she can before walking the rest of the way, and she needs to buy an access pass that costs $ 5.50 and there is also a fee of $ 1.25 for each stop, if Kela doesn't want to spend more than $ 15 on the trip, to determine the largest number of stops she can afford, the following calculation must be performed:

(15 - 5.5) / 1.25 = X

9.5 / 1.25 = X

7.6 = X

Therefore, Kela will be able to travel for 7 stops before her money runs out.

4 0
3 years ago
Other questions:
  • What is 77/200 in decimal form. How to work it out
    7·2 answers
  • PLSS HELPPP MEE!!! It’s timed
    12·1 answer
  • Describe the graph of the function f(x) = 2x^3 +14x^2 +13x +6. Include the y-intercept, x-intercepts, and the shape of the graph
    15·1 answer
  • 2-(3x-4)=2x-9<br><br> Please give step by step answer!! Thanks!
    6·2 answers
  • Q.2. A cricketer scores the following runs in eight innings :
    5·1 answer
  • I really need help please and thankyou
    11·1 answer
  • Hey can anyone help me solve this
    9·2 answers
  • A computer game designer uses the function f(x) = 4(x - 2)2 + 6 to model the path of the fish The horizontal path of
    11·1 answer
  • give the answers to the remaining boxes left blank, you can give the answers all in one sentence starting from the first blank b
    10·1 answer
  • 25 Trent's watch runs at half the speed itshould. In other words, the hands on thewatch move only a half hour when an hourof tim
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!