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
sertanlavr [38]
3 years ago
6

The life of light bulbs is distributed normally. The standard deviation of the lifetime is 15 hours and the mean lifetime of a b

ulb is 590 hours. Find the probability of a bulb lasting for at most 605 hours. Round your answer to four decimal places.
Mathematics
1 answer:
Anastaziya [24]3 years ago
7 0

Answer:

0.8413 = 84.13% probability of a bulb lasting for at most 605 hours.

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.

The standard deviation of the lifetime is 15 hours and the mean lifetime of a bulb is 590 hours.

This means that \sigma = 15, \mu = 590

Find the probability of a bulb lasting for at most 605 hours.

This is the pvalue of Z when X = 605. So

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

Z = \frac{605 - 590}{15}

Z = 1

Z = 1 has a pvalue of 0.8413

0.8413 = 84.13% probability of a bulb lasting for at most 605 hours.

You might be interested in
Experts/ace/geniuses helpp
Alex Ar [27]
Square root 144 =  12 so this is the rational number
8 0
3 years ago
?...............................
arsen [322]

Answer:

-2 ≤ n < 8

Step-by-step explanation:

_________________

5 0
3 years ago
10. Mary is feeding the dog that comes every night.
Tanzania [10]

The passive voice of the sentences will be:

  • The dog that comes every night is fed by Mary.
  • Iceland's waterfalls are said to be wonderful by people.
  • The latest trends in technology are being followed young people.

<h3>What is a passive voice?</h3>

It should be noted that a passive voice simply means a form of verb where the subject undergoes the action of the verb.

In this case, the passive voice is used to emphasize the action. In order to identify the passive voice, one should look at what happened and who was responsible.

Learn more about passive voice on:

brainly.com/question/25897080

6 0
2 years ago
Find the length of the side of rhoumbus whose diagonals are of length 6cm and 8cm.​
Artist 52 [7]

Answer:

In a rhombus, the diagonals bisect at right angles. That means half the diagonals form a right angle triangle then we can try the Pythagorean theorem. so -

one side of triangle =  6/2 =3 (half of the diagonal)

other side = 8/2 = 4

a^2 + b^2 = c2

3 ^2 + 4^2 = c^2

9+16 = c^2

c^2=25

c = \sqrt{25} = 5

the hypothenus forms one side of the rhombus and here the hypothenus is 5, so the lenght of a side is 5 !

6 0
3 years ago
Help pleasee having a bad day,and really stressed out
Virty [35]

Answer:

anything :)))

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • Each car has 5 wheels. There are 74 wheels. How many cars are there? How many wheels left over?
    14·1 answer
  • Use ΔDEF, shown below, to answer the question that follows: Triangle DEF where angle E is a right angle. DE measures 55. EF meas
    15·2 answers
  • In the afternoon, a television station reported the temperature as 3.7°F . That evening, they reported the temperature as −1.5°F
    7·2 answers
  • Please Help!!!
    15·1 answer
  • · Three arithmetic means between 18 and 92.​
    12·1 answer
  • Three men are trying to hold a ferocious lion still for the veterinarian. The lion, in the center,is wearing a collar with three
    7·1 answer
  • .Ileana is going to plant 12 small plants around the edge of a circular garden that is 10 feet in diameter. If she spaces the pl
    14·2 answers
  • PACK is a rectangle with a perimeter of 40 units. Find the measure of angle O to the nearest degree.
    12·1 answer
  • -2m-6=-6m+8<br><br><br><br> someone pls help me and solve the problem showing there work!
    8·1 answer
  • Find the measure of the indicated angle in each triangle
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!