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
Sphinxa [80]
3 years ago
9

The life of light bulbs is distributed normally. The standard deviation of the lifetime is 25 hours and the mean lifetime of a b

ulb is 510 hours. Find the probability of a bulb lasting for at most 552 hours.
Mathematics
1 answer:
lesya [120]3 years ago
7 0

Answer:

<em>The  probability of a bulb lasting for at most 552 hours.</em>

<em>P(x>552)  = 0.0515</em>

Step-by-step explanation:

<u><em>Step(i):</em></u>-

Given mean of the life time of a bulb = 510 hours

Standard deviation of the lifetime of a bulb = 25 hours

Let 'X' be the random variable in normal distribution

Let 'x' = 552

Z = \frac{x-mean}{S.D} = \frac{552-510}{25} =1.628

<u><em>Step(ii):-</em></u>

<em>The  probability of a bulb lasting for at most 552 hours.</em>

<em>P(x>552) = P(Z>1.63)</em>

<em>                = 1- P( Z< 1.63)</em>

<em>                =  1 - ( 0.5 + A(1.63)</em>

<em>               =   1- 0.5 - A(1.63)</em>

<em>               =   0.5 -A(1.63)</em>

<em>               =   0.5 -0.4485</em>

<em>              =  0.0515</em>

<u><em>Conclusion:-</em></u>

<em>The  probability of a bulb lasting for at most 552 hours.</em>

<em>P(x>552)  = 0.0515</em>

<em>           </em>

You might be interested in
Angela is making 25 sundaes with mint, chocolate, and vanilla ice cream. 3 5 of the sundaes are mint ice cream and 1 2 of the re
sdas [7]

Answer:

5

Step-by-step explanation:

Vanilla ice cream = 3/5 x 25 = 15

Remaining = 25 - 15 = 10

Mint ice cream = 1/2 x 10 = 5

Remainder = 10 - 5 = 5 = vanilla

7 0
3 years ago
Will mark brainly if u show work !
mihalych1998 [28]

Answer:

C

Step-by-step explanation:

The 6 comes from the 24(6*4=24)

The 3 comes from the 12(3*4=12)

The 4 is common

7 0
3 years ago
Please help me thank you
laila [671]
Parallel lines have the same slope. The equation of the parallel line is therefore:

y = x + b

Plug in the values you are given to find b:

2 = -3 + b

b = 5
6 0
3 years ago
A radar measures the speed of a car at 45 miles per hour. The actual speed of the car is 40 miles per hour what is the percent e
sweet-ann [11.9K]
Hi☺️ i think it is around the number of less than 2
hope this help !
8 0
2 years ago
I need super, duper, help. -9 +(-1) 2 squared
riadik2000 [5.3K]

Answer:

-11

Step-by-step explanation:

-9 +(-1) 2

-9 - 1 x 2

-9 - 2

-11

4 0
2 years ago
Read 2 more answers
Other questions:
  • Identify the height of the rectangle, in which A=200x2 m2.
    14·1 answer
  • How many squares are in the image​
    5·2 answers
  • A bag has 4 red marbles, 5 white marbles, and 6 blue marbles. three marbles are drawn from the bag (without replacement). what i
    10·1 answer
  • X - 4y + z = 5<br> 4x + 2y + z = 2<br> - 4x + y - 3z = -8
    9·1 answer
  • A recipe for stew calls for 2 pounds of beef to serve 4 people. Gina wants to serve 8 people. How many pounds of beef should she
    12·2 answers
  • 1) What's the standard form of<br> a quadratic function?
    8·1 answer
  • (8^(3x+1))÷(2^x) please help me find the quotient asap!
    13·2 answers
  • Can someone check this for me please?
    12·2 answers
  • Please help me my 12 year old is having trouble and go's to k12 but i didn't
    6·1 answer
  • Solve the system of equations by graphing. {y=x+1<br> y=2x
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!