Elevators arrive randomly at the ground floor

Reference no: EM131083990

Let X equal the arrival time of the third elevator in Quiz 7.2. Find the exact value of P[W ≥ 60]. Compare your answer to the upper bounds derived in Quiz 7.2.

Quiz 7.2

Elevators arrive randomly at the ground floor of an office building. Because of a large crowd, a person will wait for time W in order to board the third arriving elevator. Let X₁ denote the time (in seconds) until the first elevator arrives and let X i denote the time between the arrival of elevator i - 1 and i. Suppose X₁, X₂, X₃ are independent uniform (0, 30) random variables. Find upper bounds to the probability W exceeds 75 seconds using.

(1) the Markov inequality,

(2) the Chebyshev inequality.

Reference no: EM131083990

Questions Cloud

What are khannas main points about borders : What are Khanna's main points about borders? What are the pressures and opportunities that advancing globalization has on borders?

An experimental trial produces random variables : An experimental trial produces random variables X1 and X2 with correlation r = E[X1X2]. To estimate r, we perform n independent trials and form the estimate

The percentage of aliasing level at the cutoff frequency : The percentage of aliasing level at the cutoff frequency

Determine the order of the butterworth low pass filter : determine the order of the Butterworth low pass filter required to make the percentage of aliasing level at the cutoff frequency less than 10%.

Elevators arrive randomly at the ground floor : Let X equal the arrival time of the third elevator in Quiz 7.2. Find the exact value of P[W ≥ 60]. Compare your answer to the upper bounds derived in Quiz 7.2.

Explain how an evaporative air conditioner works : She tells you that her flat is 100 square meters and that the ceilings are 3 meters high. She is concerned that the air conditioner will use too much water and so be too expensive. Calculate the amount of water it will take to cool the air in Mrs...

Find the pole set of z : Math 176: Algebraic Geometry, Fall 2014- Assignment 4. Use polynomial maps to prove V(xz - y2, yz - x3, z2 - x2y) ⊂ A3 is a variety. Let V = V(y2 - x3 - x2) ⊂ A2, and let z = y/x ∈ k(V). Find the pole set of z and z2

What odds of selecting female non-drinker from entire load : What are the odds of selecting a female non-drinker from the entire patient load? What are the odds of selecting a male non-drinker from the entire patient load? What is the probability of selecting a male non-drinker from the entire patient load?

Battle of the alamo fought over : Q1: Who was the last to die at the battle of the alamo? Q2: What was the battle of the alamo fought over?

User Account

All Pages