An article in a magazine discussed the length of time till failure of a particular product. At the end of theâ product's lifetime, the time till failure is modeled using an exponential distribution with a mean of thousand hours. In reliability jargon this is known as theâ "wear-out" distribution for the product. During its normalâ (useful) life, assume theâ product's time till failure is uniformly distributed over the range thousand to million hours. Complete parts a through c.

a. At the end of the productâs lifetime, find the probability that the product fails before 700 thousand hours.
b. During its normal (useful) life, find the probability that the product fails before 700 thousand hours.
c. Show that the probability of the product failing before 830 thousand hours is approximately the same for both the normal (useful) life distribution and the wear-out distribution.

Answers

Answer 1

Answer:

Step-by-step explanation:

From the missing information;

Lets assume that;

[tex]\text{the exponential distribution mean = 500 thousand naira}[/tex]

[tex]\text{Range 100 thousand}[/tex] → [tex]\text{1 million naira}[/tex]

a)

[tex]X \sim exp (\dfrac{1}{500}) \\ \\ P( X \le x) = 1 - e^{\dfrac{-x}{500}} \\ \\ P(X < 700) = 1 - e^{\frac{-7}{5}} \\ \\ \mathbf{P(X< 700) = 0.75340}[/tex]

b)

[tex]Y \sim \cup (100,1000) \implies P(Y \le y ) = \dfrac{y - 100}{1000-100} \\ \\ P(Y < 700) = \dfrac{600}{900} = 0.67[/tex]

c)

[tex]P(X < 830)= 1 - e^{\frac{-830}{500}} \\ \\ P(X < 830)= 1 - 0.1901 \\ \\ P(X < 830)=0.8099 \\ \\ P(Y < 830) = \dfrac{730}{900} = 0.8111 \\ \\ Thus;\mathbf{ P(X < 0.8099) = P(Y< 0.8111)}[/tex]


Related Questions

Rachel received a monthly raise of $105.25. If this represented a 5.5% increase, what is her monthly salary after the raise?

A. $1,913.64
B. $1,964.13
С. $2,018.89
D. $2.089.18

Answers

Answer:

C

Step-by-step explanation:

105,25:5,5*105.5=2018,89

what is It is believed that the early settlers of the Pacific Islands originally migrated from __________.
A.
Europe
B.
Australia
C.
Southeast Asia
D.
Central Asia


Please select the best answer from the choices provided

ill give brainliest

Answers

Answer:South Asia-C

Step-by-step explanation:

gaged

Answer:

C, Southeast Asia

What is the correct factorization of 2x² + 3x - 5?
a. (2x + 5)(x - 1)
b. (2x - 5)(x + 1)
C. (2x + 1)(x - 5)
d. (2x - 1)(x + 5)

Answers

Yea it’s B because I did the mathhhhhh

If f(x) = 4x ^ 2 - 3 and g(x) = x + 1 , find (f - g)(x) O A. 4x ^ 2 - x - 2 B. x - 4x ^ 2 - 2 O C. 4x ^ 3 - 3 O D. 4x ^ 2 - x - 4

Answers

Answer:

D

Step-by-step explanation:

If f(x) = 4x ^ 2 - 3 and g(x) = x + 1 , find (f - g)(x)

A. 4x ^ 2 - x - 2

B. x - 4x ^ 2 - 2

C. 4x ^ 3 - 3

D. 4x ^ 2 - x - 4

(f - g)(x) = f(x) - g(x)

4x ^ 2 - 3 - (x + 1 )                  Multiply the brackets by the negative.

4x ^ 2 - 3 -x - 1                       Add like terms.

4x ^ 2 - x - 4                           Final Answer

find m angle F
A . 60
B. 30
C. 10
D. 15

Answers

Answer:

D i hope heulful

Step-by-step explanation:

Answer:

30 degrees

Step-by-step explanation:

measure of angle F = [tex]sin^{-1} (9/18) = 30[/tex]

Please help me I’m desperate

Answers

Answer: [tex]y=2.75x+7.5[/tex], 10 miles

Step-by-step explanation:

Given

The company charges $2.75 per mile

The total charge is $29.50

Also, x represents the number of miles and y represents the total cost of the cab ride

Assume extra charge be c

for 8 miles, the charge is

[tex]\Rightarrow 29.50=2.75\times 8+c\\\Rightarrow c=\$7.5[/tex]

The slope-intercept form of the information is

[tex]\Rightarrow y=2.75x+7.5[/tex]

for $35 charge, miles covered

[tex]\Rightarrow 35=2.75x+7.5\\\Rightarrow 2.75=27.5\\\Rightarrow x=10\ \text{miles}[/tex]

Let's play Cooking Diary! Together we'll rock the culinary world! https://social-cd.mytonagames.com/4gx9R8​

Answers

Betttttttttttttttttttttt

7) Una epidemia mató los 3/7 de las vacas de un granero y de las que le quedaron vendió 1/2. Si todavía le quedaron 24 vacas, ¿Cuántas vacas tenía al principio, ¿cuántas murieron y cuántas vendió?

Answers

Answer:

Habían inicialmente 84 vacas. Murieron 36 vacas. 24 vacas fueron vendidas.

Step-by-step explanation:

Sea [tex]x[/tex] la cantidad inicial de vacas. De acuerdo con el enunciado, murieron tres séptimos de la cantidad inicial y la mitad de ese remanente fue vendida, quedando 24 vacas. Matemáticamente, tenemos las siguientes operaciones:

Cantidad inicial de vacas

[tex]x = \frac{24}{\left(1-\frac{3}{7} \right)\cdot \left(1-\frac{1}{2} \right)}[/tex]

[tex]x = 84[/tex]

Habían inicialmente 84 vacas.

Cantidad de vacas muertas

[tex]y = \frac{3}{7}\cdot x[/tex]

[tex]y = 36[/tex]

Murieron 36 vacas.

Cantidad de vacas vendidas

[tex]z = \left(1-\frac{3}{7} \right)\cdot \frac{1}{2}\cdot x[/tex]

[tex]z = 24[/tex]

24 vacas fueron vendidas.

seventeen and nine hundred five thousandths in decimal form ​

Answers

Answer:

17.905

#CarryOnlearning

GIVING 25 PTS I REALLY NEED HELP ON THIS LAST QUESTION AND IM TIMED ILL GIVE BRAINLIEST TO WHOS RIGHT ​

Answers

Answer: A, 314 square inches

Step-by-step explanation:

The equation for the area of a circle is A = 3.14 x r²

3.14 x 10² ≈ 314

what is the GCF of 24 and 20 is?

Answers

Step-by-step explanation:

4. because it's the highest number your can evenly divide both numbers by

75% of 800 students come from Kampung Panda and the rest are from Kampung Melayu. How many students are from Kampung Melayu?​

Answers

Step-by-step explanation:

If 75% of students come from Kampung Panda, then 25% come from Kampung Melayu (100 - 75 = 25).

Take 25% of 800 students to get 200 students coming from Kampung Melayu.

[tex]0.25 * 800 = 200[/tex]

or

[tex]\frac{1}{4} * 800[/tex]

[tex]\frac{800}{4}[/tex]

[tex]200[/tex]

How do i find the volume of a cube thats 5 feet​

Answers

I’m not sure but the answer possibly will be 125

Debbie has $460 in a savings account that earns 8% simple interest annually. How much interest will she earn in 5 years?

Answers

Answer:

Hello! The interest would be $184. You would have to use the formula

I= P x r x t. I would equal interest, p is principal amount, r is interest rate and t is the time involved which is 5 years. But first you have to divide 8% by 100 which is 0.08. 460 x 0.08 x 5= $184

Step-by-step explanation:

Pls help I don’t know hot to multiply the last part 8 2

Answers

Answer:

8^2 = 64

Step-by-step explanation:

Hi! Okay, let's get started!

[tex]8^{2}[/tex] is what you need help with right?

So, that equals to 8 x 8.

8 x 8 = 64, so it would be 64

Hope that helps!

-Aphrodite :)

im almost done with this hw. plz help!!! give explanation if you actually know the answer so ik u dont just want points

Answers

Answer:

i belive it is answer  B

Step-by-step explanation:

Answer:

I think its B

Step-by-step explanation:

im not sure

help me! I have a retake on this and my last answer I put was A and D and I got it wrong!

Answers

9514 1404 393

Answer:

  A, E

Step-by-step explanation:

You are correct that the appropriate relationship is ...

  g = 0.4t . . . . choice A

You are also correct that an equivalent relationship is ...

  t = 2.5g . . . . choice D

However, when we say gallons are proportional to seconds, we usually expect that to be written ...

  g = kt . . . . for some value of k

__

We note that another equivalent is ...

  g = 2/5t . . . . choice E

The appropriate choices are probably A and E. Choice D might be argued to be correct, but you could very well lose that argument to someone who prefers a "g = " form of the relationship.

Which is the value of this expression when P= -2
and q=-1
((p^2)(q^-3))^-2•((p^-3)(q^5))^-2

-4
-1/16
1/16
4

Answers

Answer:

B -1/16

Step-by-step explanation:

Which line shown appears to have a Y-intercept of 3?
A. I
B. II
C. III
D. IV
E. none of the above​

Answers

It will be D because it stands for lV

What is the correct factorization of -5x2 + 9x + 2?
a. -1(5x - 1)(x + 2)
b. -1(5x + 1)(x-2)
c. -1(5x – 2)(x + 1)
d. -1(5x + 2)(x-1)

Answers

The answer is A.) -1(5x-1)(x+2)
The correct answer to the factorization is B.

The authors of a paper concluded that more boys than girls listen to music at high volumes. This conclusion was based on data from independent random samples of 768 boys and 745 girls from a country, age 12 to 19. Of the boys, 397 reported that they almost always listen to music at a high volume setting. Of the girls, 331 reported listening to music at a high volume setting.

Do the sample data support the authors' conclusion that the proportion of the country's boys who listen to music at high volume is greater than this proportion for the country's girls? Test the relevant hypotheses using a 0.01 significance level. (Use a statistical computer package to calculate the P-value. Use μboys − μgirls. Round your test statistic to two decimal places and your P-value to four decimal places.)

Answers

Answer:

Since the calculated value of z= 2.82  does not lie in the critical region  the null hypothesis is accepted and it is concluded that the sample data support the authors' conclusion that the proportion of the country's boys who listen to music at high volume is greater than this proportion for the country's girls.

The value of p is 0 .00233. The result is significant at p < 0.10.

Step-by-step explanation:

1) Let the null and alternate hypothesis be

H0:  μboys − μgirls > 0

against the claim

Ha: μboys − μgirls ≤ 0

2) The significance level is set at 0.01

3) The critical region is z  ≤  ± 1.28

4) The test statistic

Z= p1-p2/ sqrt [pcqc( 1/n1+ 1/n2)]

Here p1= 397/768= 0.5169  and p2= 331/745=0.4429

pc = 397+331/768+745

pc= 0.4811

qc= 1-pc= 1-0.4811=0.5188

5) Calculations

Z= p1-p2/ sqrt [pcqc( 1/n1+ 1/n2)]

z= 0.5169-0.4429/√ 0.4811*0.5188( 1/768+  1/745)

z= 2.82

6) Conclusion

Since the calculated value of z= 2.82  does not lie in the critical region  the null hypothesis is accepted and it is concluded that the sample data support the authors' conclusion that the proportion of the country's boys who listen to music at high volume is greater than this proportion for the country's girls.

7)

The value of p is 0 .00233. The result is significant at p < 0.10.

Find the 14th term of the geometric sequence 2,6,18, ...

Answers

Answer:

Step-by-step explanation:

The answer to this question link is here

https://socratic.org/answers/623991

The geometric sequence is starting with 2 and multiplying by 3 every time. We can get the rule of this sequence by...

If 2 is [tex]a_{1}[/tex], 6 is [tex]a_{2}[/tex], 18 is [tex]a_{3}[/tex], etc...then, [tex]a_{n}[/tex]=2(3)^(n - 1)

For the 14th term, plus in 14 for n, and it will look like this:

= 2(3)^(14 -1)

= 2(3)^(13)

= 3188646

1.Write an inequality comparing the rational numbers -3/4 and -2 .
2. Using complete sentences, explain what your inequality means about the position of the two numbers on the number line.

Answers

Answer:

[tex]-2<x<-\dfrac{3}{4}[/tex] Or [tex]x\in (-2,-\dfrac{3}{4})[/tex]

Step-by-step explanation:

The numbers are [tex]-\dfrac{3}{4}[/tex] and [tex]-2[/tex].

We need an inequality that gives us the numbers between the above numbers.

The inequality will be

[tex]-2<x<-\dfrac{3}{4}[/tex]

Or

[tex]x\in (-2,-\dfrac{3}{4})[/tex]

This means that [tex]x[/tex] is a number that is in between the rational numbers [tex]-\dfrac{3}{4}[/tex] and [tex]-2[/tex]. Also, [tex]x[/tex] is greater than [tex]-2[/tex] and less than [tex]-\dfrac{3}{4}[/tex]

The positions in the number line are shown in the figure where the numbers are marked by arrow.


33°
(3m + 3)
ent OR Vertical_
Angle Relationship: Complementary OR Supplementary

Answers

Answer:

complementary

Step-by-step explanation:

because the angles add up to 90°

The base and height of a triangle is 36 and 12 respectively. It's area is ....... *

1 point

392

196

216​

Answers

Answer:

the answer is of the question is 216

Pythagorean theorem
a = 4 b = ? c = 10

Answers

Which side is b and which side is c. Is the hypotenuse c?

I'll Give brainliest too! I need help with these.

Answers

This is not seeing me clearly so that's why I can't able to help u.

| -1/2 + 1’1/2 |
| -5 + (-1)|

compute: sqrt[150]/sqrt[96]

Answers

Answer:

5/4.

Step-by-step explanation:

√150/√96

= √6√25  / √6√16

= 5√6 / 4√6

= 5/4.

HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:  35

Step-by-step explanation:

The sum of interior angles of a triangle is 180°.

40 + 2a + 2a = 180

4a + 40 = 180

4a = 140

a = 35

What effect does armature reaction have on the torque speed characteristic of a DC shunt motor?​

Answers

Answer:

Step-by-step explanation:

The armature reaction in the motor affects the torque speed characteristics of the motor. Due to the armature reaction in the motor the shape of the torque speed characteristics will changes. The relation between torque and speed of the motor is given below.

…… (1)

where

Terminal voltage of the motor

Flux in the motor

Torque induced in the motor

Armature resistance

If a motor has armature reaction, as the load increases the flux weakening effect reduces the flux in the field winding. From equation (1), as the flux reduces, the speed of the motor increases at a given load over the speed it would run at without armature reaction.

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