Question

an elevator starts with 5 people on the first floor of an 8 story building and...

an elevator starts with 5 people on the first floor of an 8 story building and stops at each floor.

a, in how many ways can all the people get off the elevator?

b. what is the probability that no two people get off on the same floor?

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

An elevator starts with 5 people on the first floor of an 8 story building, and stops at each floor.

a) The first person can get off at 8 floors. Irrespective of this choice, the second person can get off at 8 floors. So can the third person, the fourth person and the fifth person.

So, all the people can get off the elevator in

So, the answer is 32768.

b) Now, if no two people can get off at the same floor, this means each of the 5 persons would get off at different floors.

Now, the order is important.

So, 5 people can get off at 8 floors, in

So, the probability that no two people get off at the same floor is

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
There are 10 people in an elevator that is at the sixth floor. If the elevator...
There are 10 people in an elevator that is at the sixth floor. If the elevator goes down to the first floor, in how many ways can the 10 people exit the elevator in such a way that at least one person gets off at each of the five floors below?
The floor to ceiling height of an elevator is 4.5?. The elevator starts from the ground...
The floor to ceiling height of an elevator is 4.5?. The elevator starts from the ground at rest and accelerates upward at 6?/?2. At ?=1?, a lamp on the elevator ceiling starts to fall (due to high ?forces). How long will it take the lamp to hit the floor? Solve this problem in two ways: a) From the perspective of a fixed X-Yframe(the ground frame). b) From the perspective of a frame moving with the elevator (the relative frame).
Please be detailed! Will rate! An elevator carries a group of people from the ground floor...
Please be detailed! Will rate! An elevator carries a group of people from the ground floor to the third floor of a building. The elevator and passengers have a combined mass of 2600 kg. The height of one floor is 4.5 m. If the elevator moves at a constant speed and goes from the ground floor to the third floor in one minute, calculate the work done on the elevator by gravity, the work done on the elevator by the...
Five people get into an elevator. There are seven floors on which they can get off....
Five people get into an elevator. There are seven floors on which they can get off. Suppose that two people exit on the same floor and everyone else on different floors (4 floors altogether); What is the total number of different ways they can do this? Suppose that everyone exits on a different floor; What is the total number of different ways they can do this? Suppose three people exit on one floor and the other two on two different...
A particular building has 7 floors and a basement. If 11 people get on the elevator...
A particular building has 7 floors and a basement. If 11 people get on the elevator in the basement, and each chooses a floor at random on which to get out, independently of the others, at how many floors do you expect the elevator to make a stop to let one or more people out?
Two people enter the elevator in a 5-floor building. Let N1 and N2 denote the floors...
Two people enter the elevator in a 5-floor building. Let N1 and N2 denote the floors that they want to go to. Assume that N1 and N2 are independent and equtl to 2, 3, 4 and 5 with probabilities 1/4 each. (a) Write down the joint PMF (b) Calculate P(N1 > N2) and P(N1 = N2) (c) Let X1 and X2 denotethenumberofstopsthateachofthemwillmakebeforearriving to their floor. What is the support of X1 and X2? (d) Find the marginal PMF-s and the...
You step on an elevator at the 30 th floor and ride down to the 5...
You step on an elevator at the 30 th floor and ride down to the 5 th floor. From the time the elevator starts moving until the time it stops, which of the following statements most accurately describes your apparent weight during this ride? a. Your apparent weight is initially greater, then equal and finally less than your actual weight. b. Your apparent weight is initially less, then equal and finally greater than your actual weight. c. Your apparent weight...
You are trapped in WBA on the 3rd floor. The stairs are barricaded and the elevator...
You are trapped in WBA on the 3rd floor. The stairs are barricaded and the elevator is out of service. You have a class in the Anderson Center that you must attend in 10 minutes, which means that you must escape the building within 1.5 minutes to be on time. Considering, address the following questions: 1) What are the key units and the corresponding concepts that you must account for in this scenario? 2) Starting from rest, how far is...
In how many ways can 8 people sit down in a row of 8 chairs? a)...
In how many ways can 8 people sit down in a row of 8 chairs? a) without any restriction b) two specific people will not sit next to each other. c) the probability that those 2 persons end up next to each other.
5. You are standing in an elevator shaped like a box with a square floor (a...
5. You are standing in an elevator shaped like a box with a square floor (a rectangular prism). The floor has side lengths 6 feet and are fixed, but the ceiling is rising. If the volume is increasing at 108 feet^3/second, determine how fast the ceiling is rising. Be sure to show all steps so that I can clearly follow your thought process please.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT