Question
In: Math
Five people on the basement of a building get on an elevator that stops at seven...
Five people on the basement of a building get on an elevator that stops at seven floors. Assuming that each has an equal probability of going to any floor, find
(a) the probability that they all get off at different floors; (3 POINTS)
(b) the probability that two people get off at the same floor and all others get off at different floors. (4 POINTS)
Solutions
milcah answered 1 year agoRelated Solutions
Five people on the basement of a building get on an elevator that stops at seven...
Five people on the basement of a building get on an elevator
that stops at seven floors. Assuming that each has an equal
probability of going to any floor, find
(a) the probability that they all get off at different
floors
(b) the probability that two people get off at the same floor
and all others get off at different floors.
Seven people are in an elevator which stops at ten floors. In how many ways can...
Seven people are in an elevator which stops at ten floors. In
how many ways can they get off the elevator?
10^7
C(10,7)
7^10
P(10,7)
A hiking group consists of 12 students and 2 leaders. A leader
must be at the front and back of the line. How many ways can the
group hike in a line?
14!
12!*2!
14!/2!
12!
A group of n people get on an elevator at Floor 0. There are m floors...
A group of n people get on an elevator at Floor 0. There are m
floors besides Floor 0. Each person uniformly randomly chooses one
of those m floors to stop at. (All choices are independent, and no
one gets on the elevator after Floor 0.) The elevator stops at a
floor if at least one person has chosen to stop there. Let X be the
number of stops that the elevator makes after Floor 0.
(a) What is E[X]?...
Calculate the firewater demand in (m3/min) for a building having 25 floors including basement. Building is...
Calculate the
firewater demand in (m3/min) for a building having 25
floors including basement. Building is constructed with
non-combustible construction material and serving total population
of 1400. Assume area of each floor as
9800 ft2. Using following formulas:
[5
Marks]
a). Insurance
Services Office Formula
b). Equation for
National Board of Fire Underwriters
c).
If fire water demand is required for 4 hours calculate the volume
of water storage tank in m3 (For Part b only)
Instructions: Find
the values...
An elevator has a weight capacity of 3000 lbs. Sixteen men get into the elevator. Given...
An elevator has a weight capacity of 3000 lbs. Sixteen men get
into the elevator. Given the weights of men are normally
distributed with a mean of 172 lbs and a std dev of 29 lbs find the
probability of these men exceeding the maximum weight, thus
breaking the cable and plunging to their death. _________
An elevator packed with people has a mass of 1900 kg. The elevator accelerates upward (in...
An elevator packed with people has a mass of 1900 kg.
The elevator accelerates upward (in the positive direction) from
rest at a rate of 1.95 m/s2 for 2.4 s. Calculate the
tension in the cable supporting the elevator in newtons.
The elevator continues upward at constant velocity for 8.1 s.
What is the tension in the cable, in Newtons, during this time?
The elevator experiences a negative acceleration at a rate of
0.75 m/s2 for 2.8 s. What is...
1) a. There is an elevator on the 102th floor of the Empire State Building with...
1)
a. There is an elevator on the 102th floor of
the Empire State Building with a sign: MAXIMUM WEIGHT 2900 LBS.
During refurbishment, the cable was being replaced. A section of
the new cable is cut up and tested for its breaking strength. The
cable was tested 20 times and the average breaking point of the
sample was found to be 3100 LBS with a standard deviation of 280
LBS. Construct an appropriate hypothesis test that determines
whether the...
• Building Size: 3,800 square feet (exclusive of an unfinished basement, not adaptable for future use,...
• Building Size: 3,800 square feet (exclusive of an unfinished
basement, not adaptable for future use, an unfinished attic, and
open porches)
• Small Appliance Branch Circuits: 3
• Laundry Branch Circuits: 1
• Fastened-in-Place Appliances: Water heater (28 kVA),
Dishwasher (1,200 VA), Food Disposal (1,200 VA), Attic Fans (2) @
750 VA (1,500 VA total)
• Clothes Dryer: 5 kW
• Ranges, Ovens, Cooktops: Range 12 kW
• HVAC System: 3.5 Ton AC system 240 V, 17.9 A, Air...
The elevator starts from rest at the first floor of the building and comes to a...
The elevator starts from rest at the first floor of the building
and comes to a complete stop at the 6th floor. It can accelerate at
6 ft/s2 and then decelerate at 2 ft/s2
Determine the shortest time is takes to reach the 6th floor, which
is 60 ft above the ground. Draw the v?t and s?t graphs for the
motion of the elevator.
The time that a randomly selected individual waits for an elevator in an office building has...
The time that a randomly selected individual waits for an
elevator in an office building has a uniform distribution over the
interval from 0 to 1 minute. For this distribution μ = 0.5
and σ = 0.289.
(a) Let x be the sample mean waiting time for a random
sample of 19 individuals. What are the mean and standard deviation
of the sampling distribution of x? (Round your answers to
three decimal places.)
μx
=
σx
=
(b) Answer Part...
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