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
Vesna [10]
3 years ago
11

A type of elevator has a maximum weight capacity Y1 , which is normally distributed with mean 5000 pounds and standard deviation

300 pounds. For a certain building equipped with this type of elevator, the elevator’s load, Y2, is a normally distributed random variable with mean 4000 pounds and standard deviation 400 pounds. For any given time that the elevator is in use, find the probability that it will be overloaded, assuming that Y1 and Y2 are independent.
Mathematics
1 answer:
alukav5142 [94]3 years ago
5 0

Answer:

 then value is 0.0228

Step-by-step explanation:

Maximum weight capacity= Y1

Elevator's loaf = Y2

probability that is overloaded :

P(Y2 > Y1)

TakingP( Y2 - Y1) > 0

E[Y1 - Y2 ] = 500 - 4000 = 1000

P( Y2 > Y1) = P( Y2 - Y1 > 0 ) = P( Y1 - Y2 < 0 ) ;

E[Y1 - Y2] = 500-4000 = 1000

P (Y2 > Y1 )

then

P (Y1 - Y2 < 0)

P((Y1-Y2)-1000)/50 = (0-1000/500)

P((Y1 - Y2 )  - 2)

 then value is 0.0228

You might be interested in
(HELP PLS EASY PROBLEM ILL GIVE BRAINLY, I KNOW IT SEEMS LIKE ALOT BUT ITS EZ)
sveticcg [70]

Answer:

a)$4,238.50

b)$392

c)$3814.65

Step-by-step explanation:

a) 3920*0.08125=318.5

318.5+3920=4238.50

b)3920*0.1=392

c)3920-392=3528

3528*0.08125=286.65

3528+286.65=3814.65

6 0
3 years ago
Look at image for question​ please
pickupchik [31]

Answer:

below

Step-by-step explanation:

mean=EFX÷N

=40÷8

=5

THIS IS THE MEAN OF GIVEN DATA.

3 0
3 years ago
What is the equation of the line in slope-intercept form?
inessss [21]

Answer:

y = x - 9

Step-by-step explanation:

the line has a slope of 1 so you do not have to include it in the equation and it crosses the y-axis at -9 so the y-intercept is -9

7 0
2 years ago
50 POINTS - A Builder intends placing 7 equally spaced homes on a semicircular plot. If the circle has a diameter of 400 feet, w
Ray Of Light [21]

Answer:  89.7 ft

<u>Step-by-step explanation:</u>

Find the arc length (s) of the semi-circle.  Then divide that length by 7.

s = r · θ      where r is the radius and θ is the angle in radians

s = (400 ÷ 2) · π        <em>(radius is diameter divided by 2)</em>

  = 200π

  = 628.3

The length of the arc is 628.3 ft.  Divide that by 7 to find the distance between each home.

628.3 ÷ 7 = 89.7

3 0
3 years ago
Find the value of x in the picture below.
sveta [45]
The answer is c because
7 0
3 years ago
Other questions:
  • PLEEEAAASE HEEELLLP ( show work please) :)
    10·2 answers
  • Logan can paint a room in 12 hours. Marcus can paint the same room in 16 hours. How long does it take for both Logan and Marcus
    6·1 answer
  • Find the area of this parallelogram, Be sure to include the correct unit in your answer,
    14·1 answer
  • 3. Standard deviation is ________. a mean of squared differences the square root of the variance unit-free the covariance 4. Sta
    11·1 answer
  • Jenny can type 1,200 words in 15 minutes how many can she type in an hour
    7·2 answers
  • It costs $100 to rent the bowling alley, plus $4 per person. The cost for any number (n) of people can be found using the expres
    10·1 answer
  • The figure is used as part of a visual description of an algebraic statement. Which of the following can be that algebraic state
    7·1 answer
  • Help again lol read what i put before answering
    15·2 answers
  • Bill is 6 inches taller than Nancy. Use n for Nancy's height. Write an expression for Bill's height: I​
    5·1 answer
  • Heres the rest of the paper!
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!