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
Andrei [34K]
2 years ago
7

It has a time to failure distribution which is normal with a mean of 35,000 vehicle miles and a standard deviation of 7,000 vehi

cle miles. Find its designed life if a .97 reliability is desired.
Mathematics
1 answer:
Triss [41]2 years ago
3 0

Answer:

The designed life should be of 21,840 vehicle miles.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 35,000 vehicle miles and a standard deviation of 7,000 vehicle miles.

This means that \mu = 35000, \sigma = 7000

Find its designed life if a .97 reliability is desired.

The designed life should be the 100 - 97 = 3rd percentile(we want only 3% of the vehicles to fail within this time), which is X when Z has a p-value of 0.03, so X when Z = -1.88.

Z = \frac{X - \mu}{\sigma}

-1.88 = \frac{X - 35000}{7000}

X - 35000 = -1.88*7000

X = 21840

The designed life should be of 21,840 vehicle miles.

You might be interested in
A jar contains 3 red, 2 white, and 1 green marble. Aside from color, the marbles are indistinguishable. Two marbles are drawn at
IRISSAK [1]

Answer:

0.6

Step-by-step explanation:

A permutation is an arrangement of outcomes whereas a combination is a grouping of outcomes.

Order matters in case of permutations but does not matter in combinations.

Given:

Number of red marbles = 3

Number of white marbles = 2

Number of green marbles = 1

To find: probability of picking 4 marbles and getting one of each color

Solution:

Total number of outcomes = 6_C__4 = \frac{6!}{4!\,2!}=\frac{6\times 5\times 4!}{4!\times 2}=15

Number of favourable outcomes = 2 red, 1 white and 1 green marble + 1 red, 2 white and 1 green marble = 3_C_2\,2_C_1\,1_C_1+3_C_1\,2_C_2\,1_C_1 = \frac{3!}{2!\,1!}\times \frac{2!}{1!\,1!}\times 1+\frac{3!}{2!\,1!}\times 1\times 1=6+3=9

So, probability of picking 4 marbles and getting one of each color = Number of favourable outcomes/Total number of outcomes =\frac{9}{15}=\frac{3}{5}=0.6

4 0
3 years ago
Is y=8200(1.19)x a growth or decay and what is the percentage
Bad White [126]

Answer:

Growth 119

Step-by-step explanation:

It is positive and the percentage is 1.19 with the decimal moved 2 places to to the right.

6 0
2 years ago
Read 2 more answers
100 POINTS ANSWER FAST NO BEGINNERS OR AMBITIOUS, VIRTUOSO AND UP ONLY
Flauer [41]
I hope this helps you

8 0
3 years ago
Read 2 more answers
The square of a whole number 'n' lies between 80 and 150. Find all possible values for 'n'.
pychu [463]
The square of a whole number n lies between 80 and 150, so n lies between √80 and √150.

\sqrt{80} \approx 8.9 \\
\sqrt{150} \approx 12.2

n is a whole number and lies between 8.9 and 12.2, so n can be 9, 10, 11, or 12.

The possible values for n are 9, 10, 11, and 12.
5 0
3 years ago
Marina correctly simplified the expression (-4a^-2 b^4)/(8a^-6b^-3) assuming that a does not equal 0 and b does not equal 0. Her
Elza [17]
For this case we have the following expression:
 (-4a ^ -2 b ^ 4) / (8a ^ -6b ^ -3)
 We can rewrite the expression using properties of exponents.
 We have then:
 (-4/8) * ((a ^ (- 2 - (- 6))) (b ^ (4 - (- 3))))
 Rewriting we have:
 (-2/4) * ((a ^ (- 2 + 6)) (b ^ (4 + 3)))
 (-1/2) * ((a ^ 4) (b ^ 7))
 -1 / 2a ^ 4b ^ 7
 Answer:
 
The exponent of the variable b in Marina's solution should be 7
7 0
3 years ago
Read 2 more answers
Other questions:
  • What point Of the number line is closes <br> to 17
    14·1 answer
  • Determine the equations of the vertical and horizontal asymptote if any for g(x)= x-1/(2x+1)(x-5)
    9·2 answers
  • Here is how Lydia found the product 4/5 x 10. Use the model given to show that Lydia’s answer is correct.
    5·1 answer
  • What is the explicit formula for the sequence of even integers?
    9·1 answer
  • Solve using distributive property (c-6)(c-4)
    11·2 answers
  • 3. Standard deviation is ________. a mean of squared differences the square root of the variance unit-free the covariance 4. Sta
    11·1 answer
  • Given the equation:<br>y=−2x2−12x−23 <br> Find the parabola's vertex.
    8·2 answers
  • Shawn took the bus from Seattle to Portland, a distance of 175miles. If the trip took 3.5 hours, what was the speed of the bus?
    10·2 answers
  • Help please<br> A. <br> B. <br> C. <br> D.
    13·1 answer
  • 1: Triple the quantity of a number “n” plus 4 equals 27. what would the expression look like?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!