A system has two components: A and B. The operating times until failure of the two components are independent and exponentially distributed random variables with parameter 2 for component A, and parameter 3 for component B. The system fails at the first component failure.
(a) - Read section 1.5.2 in the textbook.
(b) - What is the mean time to failure for component A and for component B

Answers

Answer 1

Answer:

[tex]E(x) = \frac{1}{2}[/tex] -- Component A

[tex]E(x) = \frac{1}{3}[/tex] -- Component B

Step-by-step explanation:

Given

Distribution = Exponential

[tex]\lambda = 2[/tex] --- Component A

[tex]\lambda = 3[/tex] --- Component B

Solving (a): The mean time of A

The mean of an exponential distribution is:

[tex]E(x) = \frac{1}{\lambda}[/tex]

We have:

[tex]\lambda = 2[/tex] --- Component A

[tex]E(x) = \frac{1}{2}[/tex]

Solving (b): The mean time of B

The mean of an exponential distribution is:

[tex]E(x) = \frac{1}{\lambda}[/tex]

We have:

[tex]\lambda = 3[/tex] --- Component B

[tex]E(x) = \frac{1}{3}[/tex]


Related Questions

Jordan is flying a kite, which gets caught in the top of a tree. The angle of elevation made by the string on the ground is 44 degrees. The distance from the bottom of the string to the base of three is 90 feet. What is the height of the tree​

Answers

Answer:

87 Feet

Step-by-step explanation:

It's been a while since I used trigonometry, but here is what I got.

We know that 44 degrees in the angle from the string to the base of the ground.

We also know that the length from that angle to the base of the tree is 90 feet.

So using the SOH, CAH, TOA rule we know that to figure out the opposite side (x) length using the adjacent side (90) length we need to use tangent of 44 degrees.

The equation should be tan(44°) = x/90

Tan(44°)=0.96589

Now you multiply that number by 90 to find x.

Hope that helped, let me know if it did or not.

Monica bought a new house and she is looking to get cable and wifi. She is looking for reasonable prices. Monica is trying to compare two different companies. Comcast is charging $60 per month and $4 for any extra channels. On the other hand, Verizon is charging $45 per month and $6 for any extra channels.

=4+60

=6+45

PLEASE HELP ASAP

Answers

Answer:

I think she should get the Verizon house hold Wifi because when you compare the prices even if Monica doesn't want any extra channels she would still save $15. Even tho the extra channel was $4 for the Comcast when you add it up you get $64 instead when you use Verizon even tho you pay $6 for extra channels you still don't get the amount for the Comcast which you save $13 by getting Verizon with $51.  

Step-by-step explanation:

A 12m by 12m square garden has a 1m wide path through the centre, parallel to one side of the square. calculate the area of the garden left for planting.​

Answers

Answer:

132 m²

Step-by-step explanation:

overall area = 12 m x 12 m = 144 m²

area of path = 1 m x 12 m = 12 m²

144 m² - 12 m² = 132 m²

3. Reasoning Ben says that n = 5 is the solution of the equation 7n = 45. How can you check whether Ben is correct? ​

Answers

Answer:

You cant, because Ben is WRONG, unless you made a typo while writing the question

Step-by-step explanation:

If you subsitute N for 5, then the equation would be 7 x 5 = 45. However, this is not true. The correct equation is 7 x 5 = 35, so Ben is wrong UNLESS you made a typo while writing the question.

Hope this helped! If it did, please mark it brainliest! It would help a lot! :D

A fish tank has 10 goldfish, 6 tetras, 5 snails, and 2 platies. What is the ratio of tetras to platies?
A. 2/10


B. 6/2


C. 2/6


D. 10/6

Answers

Answer:

its B cuz there r six tetras and 2 platies so it is 6/2

What is the coefficient of y in the expression x+4y+3

Answers

4 since there is nothing to simply

Convince yourself that there are 3 similar triangles in the diagram. Choose the
similarity statement that represents the relationship among the 3 triangles.
Please only answer if your sure

Answers

The correct answer is the second option.

Answer:

second option.

Step-by-step explanation:

What is the m∠J, to the nearest tenth? JLK is right angle triangle. The length of JL is 9.4 and length of LK is 15.1.

Answers

Answer:

58.1

Step-by-step explanation:

Which expressions are equivalent to 5x-15? Select three options.
5(X+15)
5(x-3)
4x+3y-15-3y+X
-7y-6x-8y + x
0-20-3x+5+ 8x

Answers

Answer:

The number 2 for sure but i dont know the rest

Step-by-step explanation:

Account (A) is a saving account , the interest earned after 1 year is $12 .If the interest rate is 3.2% for account (A). How much is the principle for account (A) ?3​

Answers

Answer:

The principal for the account is $375.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

[tex]E = P*I*t[/tex]

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

The interest earned after 1 year is $12 .If the interest rate is 3.2% for account (A).

This means, respectively, that [tex]t = 1, E = 12, I = 0.032[/tex]

We want to find P.

[tex]E = P*I*t[/tex]

[tex]12 = P*0.032*1[/tex]

[tex]P = \frac{12}{0.032}[/tex]

[tex]P = 375[/tex]

The principal for the account is $375.

One interior angle of a triangle is 60⁰. The other angle measures are x⁰ and y⁰. Which of the following could be the values of x and y? Select all that apply. A. x = 50, y = 90 B. x = 45, y = 45 C. x = 40, y = 80 D. x = 100, y = 20 E. x = 60, y = 60

Answers

Answer:

B,C,D

Step-by-step explanation:

Write an equation of a line that has a slope of 3/4and passes through point (8,7)

Answers

To answer this go to the guys link on top

Trever invested $10,000 in an account that earns 8.5%
interest that is compounded monthly.
(a) Write an exponential model for the balance of the
account.
(b) Determine the amount of money in the account
after 15 years.

Answers

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Trever invested $10,000 in an account that earns 8.5% interest that is compounded monthly.

First, we need to calculate the monthly interest rate:

i= 0.085 / 12= 0.00708

Now, to calculate the future value of the investment, we need to use the following formula:

FV= PV*(1+i)^n

PV= initial investment

i= interest rate

n= number of periods

In this case:

FV= 10,000*(1.00708^n)

Finally, for 15 years:

n= 15*12= 180 months

FV= 10,000*(1.00708^180)

FV= $35,605.31

Just chillin' at the max 32-bit limit with two answers...

Answers

Answer:

I don't understand what the question issssss

The probability distribution for a
random variable x is given in the table.
-3
-2
0
2
3
Probability
.17
.13
.33
.16
.11
.10
Find the probability that x < 0

Answers

Answer:

.21

Step-by-step explanation:

is

Answer: 0.79

Step-by-step explanation:

6 Which equation has a solution of s = 9.5 ? F -5s = -47.5 G -3 + s = 12.5 H --2s 19 J –1 + s = 10.5​

Answers

Answer:

F. -5s = -47.5

Step-by-step explanation:

F. -5s = -47.5

s = -47.5 / -5

s =  9.5

This is the correct option

G. -3 + s = 12.5

s = 12.5 + 3

s = 15.5 (Incorrect option)

J. –1 + s = 10.5​

s = 10.5 + 1

s = 11.5 (Incorrect option)

Mr. Cox's round baler bales a 4-foot-wide bale having a 5.25 foot diameter. He wants to wrap
the bale in a white wrapper. He must allow an extra 10 percent for lapping. How many square
feet of wrapping does each bale require?

Answers

Answer:

109.27 ft²

Step-by-step explanation:

SA = face + face + curve

SA = 2πr² + 2πrw

= 2π(2.625)² + 2π(2.625)(4)

= ~43.3 + ~65.97 = 109.27 = SA

Answer is 109.27 hope this helps

(11x-28) + (10x-17) combine like terms

Answers

Answer:

21x-45

Step-by-step explanation:

(11x-28)+(10x-17)=11x-28+10x-17=21x-45

Hope this helps =]

Hey there!

(11x - 28) + (10x - 17)

= 11x - 28 + 10x - 17

COMBINE the LIKE TERMS

= (11x + 10x) + (-28 - 17)

= 11x + 10x - 28 - 17

= 21x - 45

Therefore, your answer is: 21x - 45

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

How can you break up the figure into familiar shapes to determine the area?

A smaller rectangle is cut out of a larger rectangle. The larger rectangle has a base of 6 yards and height of 7 and one-fourth yards. The smaller rectangle has a base of 3 and two-thirds yards and height of 5 yards.

Subtract the area of the 5 yd by 3 and two-thirds yd rectangle from the area of the 6 yd by 7One-fourth yd rectangle.
Add the area of the 5 yd by 3 and two-thirds yd rectangle to the area of the 6 yd by 7One-fourth yd rectangle.
Subtract the area of the 6 yd by 7One-fourth yd rectangle from the area of the 5 yd by 3 and two-thirds yd rectangle.
Multiply 6 yd by 7One-fourth yd and subtract 5 and 3 and two-thirds from the product.

Answers

Answer:

a

Step-by-step explanation:

edge 2021

Answer:

A: Subtract the area of the 5 yd by 3 and two-thirds yd rectangle from the area of the 6 yd by 7 One-fourth yd rectangle.

Step-by-step explanation:

Just did the test on edge

please help me with this :)))

Answers

Answer:

C, 33 1/3%

Step-by-step explanation:

Because there are only two even number that follow this rule: 2<x≥6, and since there are only 6 possible outcomes, the probabilty is 2/6, which is 1/3. In a percent form, this is 100%*2/3, or 33 1/3%.

Nicole mixed the juice from the two oranges with the least juice into yogurt. Nicole drank the juice from the orange with the most juice. How much more orange juice did Nicole drink than she mixed into her yogurt?

Answers

Answer:

the answer is 3

Step-by-step explanation:

the two lowest of the plot is 1 and 1 1/2 the most is 5 1/2 make it an improper fraction and 11/2 minus 5/2 is 6/2 simplify the answer is 3

If k=9 and x=5, find the value of the expression:
2k - X

Please hurry

Answers

Answer:

[tex]\huge\boxed{13}[/tex]

Step-by-step explanation:

= 2k - x

Given that k = 9, x = 5

= 2(9) - 5

= 18 - 5

= 13

[tex]\rule[225]{225}{2}[/tex]

Hope his helped!

~AH1807

Cayle the cat 3.1.4 Suppose I am conducting a test of significance where the null hypothesis is my cat Cayle will pick the correct cancer specimen 25% of the time and the alternative hypothesis is that she will pick the cancer specimen at a rate different than 25%. I end up with a p-value of 0.002. I also construct 95% and 99% confidence intervals from my data. What will be true about my confidence intervals

Answers

Answer: hello the options related to your question is missing attached below are the missing options

answer : Neither the 95% nor the 99% intervals will contain 0.25  ( B )

Step-by-step explanation:

Given that ;

H0 : = 0.25

Ha : ≠ 0.25

p-value = 0.002

also 95% and 99% confidence intervals are constructed

p value = 0.002        i.e. < 0.01  ∝ < 0.05 ∝

This means that we reject null hypothesis in both cases when  (∝ =0.05 and ∝ = 0.01 )

Hence The true statement about my confidence intervals is :

Neither the 95% nor the 99% intervals will contain 0.25

The probability distribution for a
random variable x is given in the table.
-10
-5
0
5
10
15
20
Probability
.20
.15
.05
.1
.25
.1
.15
Find the probability that x = -10

Answers

Answer:

.20

Step-by-step explanation:

According to what are written in the table the probability for x=-10 is .20

The probability distribution  at x= -10 is 0.20.

What is Probability distribution?

A mathematical function called a probability distribution explains the likelihood of many alternative values for a variable. Graphs or probability tables are frequently used to represent probability distributions.

Given:

We have table as,

x                  -10    -5      0      5      10    15     20

Probability 0.20 0.15 0.05 0.10 0.25 0.10 0.15

So , we have to find probability that x = -10 then by looking at table the corresponding value to x= -10 the probability is 0.20.

Learn more about Probability distribution here:

https://brainly.com/question/14210034

#SPJ2

HELPPPPP PLS ILL GOVE THE BRAINLIEST ANSWER !! just help asap !!

Answers

answer is 4√2

because, using pythagoras theorem

x² = 4² + 4²

x² = 16 + 16

x² = 32

x = √32

x = √(16 × 2)

x = √16 × √2

x = 4 × √2

x = 4√2

The answer is 4/2 hope that helps

4) Find the area. 7 cm 9 cm 12 cm​

Answers

Answer:

756 cm

i hope this helps

Find the Area of the Shaded Region.
183 in
184 in?
182 in2
117 in?

Answers

Answer:

Shaded Region? 182in²?

Step-by-step explanation:

Where is the Shaded Region?

but between all The options you gave it to us 182in² have area unit

X-9/7x+2<_0 which graph shows the solution set of

Answers

Answer:

3. The third option is correct.

Step-by-step explanation

I GIVE BRAINLIEST FOR EXPLANATION AND CORRECT ANSWER EXTRA POINTS

Answers

Answer:40 inch
Explanation: the radius is half of the circumference therefore the answer is 40 inches considering the radius is 20 inches.

(2x2)+(8-6)
Whats the answer

Answers

Answer:

6

Step-by-step explanation

following pemdas, we first multiply 2 x 2, which is four. Next, we do the other parenthesis, 8 - 6, which is two. 2 + 4 is 6.

Hope this helps!

Answer:

the answer is six

Step-by-step explanation:

2×2=4

then

8-6=2

4+2=6

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