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
frozen [14]
3 years ago
9

If the life in years of a television set is normally distributed with a mean of 36 years and a standard deviation of 8 years wha

t should be the guarantee period if the company wants less than 3% of the television sets to fail while under warranty
Mathematics
1 answer:
TiliK225 [7]3 years ago
3 0

Answer:

The company should guarantee a lifetime of less than equal to 20.95 years so that less than 3% of the television sets fail while under warranty.    

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 36 years

Standard Deviation, σ = 8 years

We are given that the distribution of life of television sets is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

We have to find the value of x such that the probability is 0.03.

P( X < x) = P( z < \displaystyle\frac{x - 36}{8})=0.03  

Calculation the value from standard normal z table, we have,  

\displaystyle\frac{x - 36}{8} =-1.881\\\\x = 20.952\approx 20.95  

Thus, the company should guarantee a lifetime of less than or equal to 20.95 years so that less than 3% of the television sets fail while under warranty.

You might be interested in
Need answer ASAP!!!!!
MissTica

Answer:

30/42 = 10/14 = 5/7

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
What is the best approximation of the equations that these two lines represent?
Zepler [3.9K]
If you're looking for where they intersect, then I think the answer is c
8 0
3 years ago
Any help? I'm struggling.
Oksi-84 [34.3K]

Answer:

Step-by-step explanation:

a=-7

r=21/-7=-3

a_{15}=a r^{n-1}=-7(-3)^{15-1}=-7(-3)^{14}=-33480783

4 0
2 years ago
What fraction of 1/2 is 1/3 ? Draw a tape diagram to represent the question
sergeinik [125]

Answer:

1/1.5

Step-by-step explanation:

IM JUST SMART

7 0
3 years ago
Give a # that makes 10 - x &lt; 5 true.
Nimfa-mama [501]
It could be any number that is 4 and under
5 0
3 years ago
Other questions:
  • Maria ran four laps of the track at an even pace. If it took six minutes to run the first three laps how long did it take to run
    9·2 answers
  • 4x+9xy-3xy=? I really need help please
    6·1 answer
  • Jim ate two slices of pizza, which is 25% of the pizza. How many slices were in the whole pizza?
    14·1 answer
  • Which of these lines is perpendicular to the line y = 3x + 2?
    9·1 answer
  • 5th grade math. Correct answer will be marked brainliest.
    10·2 answers
  • Question 13
    14·1 answer
  • Item 9
    8·1 answer
  • Will mark brainliest
    13·2 answers
  • Today, everything at a store is on sale. The store offers a 40% discount. The discount price of a hat is $22. What is the regula
    6·1 answer
  • If 50 grams of a radioactive substance decomposed to 42 grams in 2 years, then, to the nearest gram, the amount left after 5 yea
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!