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
bixtya [17]
2 years ago
5

Suppose that two electronic components in the guidance system for a missile operate independently and that each has a length of

life governed by the exponential distribution with mean 1 (with measurements in hundreds of hours). Find the probability density function for the average length of life of the two components.
Mathematics
1 answer:
lord [1]2 years ago
8 0

Answer:

The probability density function for the average length of life of the two components is f(x) = 0.5e^{-0.5x}

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following probability density:

f(x) = \mu e^{-\mu x}

In which \mu = \frac{1}{m} is the decay parameter.

Each missile has a length of life governed by the exponential distribution with mean 1 (with measurements in hundreds of hours). Find the probability density function for the average length of life of the two components.

2, each with mean 1 means that m = 2*1 = 2, \mu = \frac{1}{2} = 0.5

So the probability density function is:

f(x) = 0.5e^{-0.5x}

You might be interested in
What number is equivilent to 3 4/ 3 2
ki77a [65]

Answer:

9

Step-by-step explanation:

Using the property that  

a

m

a

n

=

a

m

−

n

, we have

3

4

2

2

=

3

4

−

2

=

3

2

=

9

Note that if we evaluated the numerator and denominator first, we would arrive at the same result:

3

4

3

2

=

81

9

=

9

8 0
3 years ago
Read 2 more answers
The Pythagorean theorem can be used for any type of triangle. true or false
notka56 [123]
False. Only right triangles.
8 0
3 years ago
A line passes through the point (4,–2) and is perpendicular to the line with the equation y = 2∕3x + 4. What's the equation of t
prisoha [69]

Answer:

Step-by-step explanation:

perp. -3/2

y + 2 = -3/2(x - 4)

y + 2 = -3/2x + 6

y = -3/2x + 4

answer is D

5 0
3 years ago
What is the range of the following function, if the domain is {1,3,12}?<br> f(x) = x - 3
Stella [2.4K]
I think this is the answer ( −∞,∞)
8 0
2 years ago
i have two points, (3,5) and (2,18) i need to find the exponential equation using these points. how do i do this?
Flauer [41]

Answer:  y = (5832/25)*(5/18)^x

==========================================================

Explanation:

Any general exponential function is of the form

y = a*b^x

Plug in (x,y) = (3,5) and we get

y = a*b^x

5 = a*b^3

If you plug in (x,y) = (2,18), then we'll get this other equation

18 = a*b^2

-------------------

So we have this system of equations

\begin{cases}5 = ab^3\\18 = ab^2\end{cases}

From here, we divide the two equations straight down. The left hand sides divide to 5/18. The right hand sides divide to (ab^3)/(ab^2) which simplifies to b. The 'a' terms cancel and we subtract the exponents for the b terms.

Overall, we end up with b = 5/18

---------------------

Use that value of b to find 'a'

18 = a*b^2

18 = a*(5/18)^2

18 = a*(25/324)

18*(324/25) = a

a = 5832/25

You could use the other equation as well to find 'a'

----------------------

Therefore, the equation in y = a*b^x form is y = (5832/25)*(5/18)^x

To verify this, plugging in x = 3 should lead to y = 5. Similarly, plugging in x = 2 should lead to y = 18.

5 0
3 years ago
Other questions:
  • 5) Find the common ratio and the next term.<br> 512, 128, 32, 8,
    10·1 answer
  • Lucy is tiling her bathroom. She buys white and blue tiles in the
    10·1 answer
  • Solve T=M(7+FG) for G
    10·1 answer
  • I need help somebody please help me with my homework. and how you get the answer and explain me thanks
    14·1 answer
  • A TV has a height:width in a ratio 9:16 In a scale drawing the height is 4.5 cm. What would the width be?
    13·2 answers
  • Linda gets paid $80 per day. Unfortunately Linda went home sick after working 1/3 of the day on Friday. At her company they don’
    8·1 answer
  • Need help! Whole answer is on the pic.
    14·1 answer
  • Please help! 20 points and brainly!!
    8·1 answer
  • HELP it needs good reasoning
    5·1 answer
  • What is the answer to this question about dividing fractions5 5⁄6 ÷ 3 2⁄4=
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!