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
Ainat [17]
3 years ago
13

A group of n people enter an elevator in a building with k floors. Each person independently selects a floor uniformly at random

(each with equal probability 1/k). The elevator stops at each floor selected (by at least one person). Let N be the number of stops. (a) [3 marks] Find a simple expression for EN, the average number of stops. Bonus [2 marks] Suppose that n
Mathematics
1 answer:
____ [38]3 years ago
4 0

Answer:

Hence the person stop at floor by at least one person will be

E(X)=(summation from K=1 to k)[1-{(k-1)/k}^n]

Step-by-step explanation:

Given:

There are n peoples and k floors in a building.

Selects floor with 1/k probability .

To find :

Elevator stop at each floor by at least one person.

Solution:

Now

let K= number of floor at which at least one person will be stopping.

For getting E(X)

consider a variable Ak =1 if a least one person get of the elevator

and values for k=1,2,3.....k

K=(summation From k=1 to k)Ak

E(K)=((summation From k=1 to k) E[Ak]

=(summation From k=1 to k)[1-{(k-1/k)^n

Hence the person stop at floor by at least one person will be

E(K)=(summation from K=1 to k)[1-{(k-1)/k}^n]

You might be interested in
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS
densk [106]

Answer:

(-3, -6)

explanation:

When reflected across x axis, the x value will be same and y value will become negative.

original coordinates of D: (-3, 6)

  • so new coordinates: (-3, (-)6) = (-3, -6)
6 0
2 years ago
Which situation involves descriptive statistics?
irinina [24]

Answer:

C

Step-by-step explanation:

Descriptive statistics describe an event that happens over time.  So bowler striking on 1/5 of his throws that night would be an example of descriptive statistics.

7 0
3 years ago
Read 2 more answers
In a taste test people were asked which of 4 soft drinks they liked best. of those surveyed 1/3 chose orange crush 2/5 chose kil
motikmotik
1/3 = 10/30
2/5 = 12/30
1/6 = 5/30
sum of all of them = 27/30
the fraction that chose the lime sublime is 1/10
7 0
3 years ago
What's p-(8+m) over -1+p if m is 1 1/9 and p is 1 7/8 please help
djyliett [7]
(p-8-m)/(-1+p)=1 1/9;p=1 7/8
(p+1)/(p+8+m)=1 1/9;p=1 7/8
1/(8+m)=10/9;p=15/8
that's as far as it can be solved
8 0
3 years ago
12 divided by 18/25 is?!?!
alexgriva [62]

Answer:

16.6

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • 3) Expresa mediante una fórmula la función que a un número entero x le hace corresponder el doble del número siguiente a x. Haz
    6·2 answers
  • What is the best answer?
    13·2 answers
  • Y= 2•3^2 ÷3<br><br> solve for y
    9·2 answers
  • All the radii of a circle have the same length? True or False
    8·2 answers
  • What is the mean and mad of this data set?
    8·1 answer
  • Gabe deposits $2,500 into each of two savings accounts.
    15·2 answers
  • What the coordinates of the midpoint of (2,4) and (3,5) ​
    10·1 answer
  • Find the midpoint (2,-7),(10,1)
    14·1 answer
  • I need the answer to this text please
    8·1 answer
  • I really need help with this.<br><br> Please and thank you.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!