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
labwork [276]
3 years ago
9

One hundred items are simultaneously put on a life test. Suppose the lifetimes

Mathematics
1 answer:
romanna [79]3 years ago
7 0

Answer:

a) \mathrm{E}[\mathrm{T}]=\sum_{\mathrm{H}}^{5} \frac{200}{101-i}

b) \mathrm{Var}[\mathrm{T}]=\sum_{k=1}^{5} \frac{(200)^{2}}{(101-i)^{2}}

Step-by-step explanation:

Given:

The lifetimes of the individual items are independent exponential random variables.

Mean = 200 hours.

Assume, Ti be the time between ( i-1 )st and the ith failures. Then, the T_{i} are independent with \mathrm{T}_{\mathrm{i}} being exponential with rate \frac{(101-i)}{200} .

Therefore,

a) E[T]=\sum_{i=1}^{5} E\left[\tau_{i}\right]

=\sum_{i=1}^{5} \frac{200}{101-i}

\therefore \mathrm{E}[\mathrm{T}]=\sum_{\mathrm{H}}^{5} \frac{200}{101-i}

b)

The variance is given by, \mathrm{Var}[\mathrm{T}]=\sum_{i=1}^{5} \mathrm{Var}[T]

\therefore \mathrm{Var}[\mathrm{T}]=\sum_{k=1}^{5} \frac{(200)^{2}}{(101-i)^{2}}

You might be interested in
How many 3-person committees can be formed in a club with 8 members??
earnstyle [38]
=8C3
=8!/(3!*5!)
=56 ways
7 0
3 years ago
Which is not a point of concurrency in a triangle?
Wewaii [24]
F incenter hope this helps
3 0
3 years ago
Write the equivalent fractions for 4/9 and 10/11 using the least common denominator
Tcecarenko [31]

Answer:

4/9 = 44/99

10/11 = 90/99

Step-by-step explanation:

44/99=90/99

6 0
2 years ago
Read 2 more answers
Which line is a linear model for the data?
Lisa [10]
The first one
this is random stuff to fill up the 20 character minimum 
3 0
3 years ago
Read 2 more answers
Please help me with this sum
mihalych1998 [28]
The answer is 1
6 -
6
8 0
4 years ago
Other questions:
  • Jorge is building a table out of boards that are 3.75 inches wide.He wants the table to be at least 36 inches wide. What is the
    13·1 answer
  • Cos²x - 2 sin²x = -2 .Help me to solve it ​
    11·1 answer
  • How do you graph an absolute value with an extra number?
    12·2 answers
  • Shen’s mother gave him $10 to go buy groceries. He picked up a gallon of milk for $3.49, three pounds of oranges that cost $1.14
    15·1 answer
  • What is the value of X 56•
    8·1 answer
  • What are the y values of y=2+2x/5
    13·1 answer
  • Which list orders the numbers from least to greatest?
    15·1 answer
  • 5 + 0.55x = 10 + 0.75x pls help and explain ​
    15·2 answers
  • Hey, can somebody please help me with this? I think it might be A but I’m not completely sure. Can someone give their thoughts?
    6·1 answer
  • Given z1=9+9sqrt(3)i and z2=2+sqrt(3)i what is z2-z1<br> This is urgent will give brainliest!
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!