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
Agata [3.3K]
1 year ago
5

A manufacturer knows that their items have a normally distributed lifespan, with a mean of 6.9 years, and standard deviation of

1.6 years. If you randomly purchase one item, what is the probability it will last longer than 10 years ?
Mathematics
1 answer:
Lostsunrise [7]1 year ago
7 0

ANSWER

0.9738 or 97.38%

EXPLANATION

Given:

\begin{gathered} mean(\mu)=6.9 \\ Standard\text{ }Deviation(\sigma)=1.6 \end{gathered}

Desired Outcome:

Probability that it will last 10 years

z-score for the sample:

\begin{gathered} z-score=\frac{X-\mu}{\sigma} \\ z-score=\frac{10-6.9}{1.6} \\ z-score=1.9376 \end{gathered}

p-value

For the z-score of 1.9376, the p-value is 0.9738 or 97.38%

Hence, the probability that it will last longer than 10 years if you randonly purchase one item is 97.38%

You might be interested in
Point Eis on line segment DF. Given DE = 8 and EF= 2, determine the length<br> DF.
julia-pushkina [17]

Step-by-step explanation:

if that's what you mean

6 0
3 years ago
This makes no sense and I​ really need help on t​his lesson.<br> p(c) = ?
ad-work [718]

Answer:

0.18

Step-by-step explanation:

C is a subpath of A,

first P(A) = 0.6 since the line leading to A says .6

the probability of choosing C is 0.3, but first we have to assume A is chosen. The true probability is 0.3 * 0.6 = 0.18

6 0
3 years ago
Please help.<br> Algebra.
Arlecino [84]

Answer:

Step-by-step explanation:

4)  C looks pretty good

5)  D looks great  

:)   ask if you'd like to know how I figured that out

6 0
3 years ago
HELP PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ
dangina [55]
I’m pretty sure the answer is either D or E but I’m not positive !
7 0
2 years ago
Which equation represents a proportional relationship?
notsponge [240]

Which equation represents a proportional relationship?

C. y=1/2x+3

5 0
3 years ago
Other questions:
  • the school colors are blue and yellow, so if Amira wants to add yellow rectangles on the left and right sides of the blue rectan
    8·1 answer
  • Help awnser attach the awnser using image​
    10·1 answer
  • What does 1 3/4 ÷ 7/1 equal?
    15·1 answer
  • Solve the equation.<br> -9x + 1 = -x + 17
    12·2 answers
  • A. 3 (x + 2) = 18
    13·1 answer
  • 40% of students have brown eyes 10 have brown eyes how many atudents in the class
    11·2 answers
  • Which brand of rice is the better buy? Explain your reasoning.
    8·2 answers
  • Explain why triangle ABC is isoceles. ​
    9·1 answer
  • A stonemason wants to look at the relationship between the density of stones she cuts and the depth to which her abrasive water
    5·1 answer
  • Solve forx2x=8Give your answer as a fraction in its simplest form.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!