Question

Each day, two students, Xavier and Yolanda, arrive independently at McDonalds for lunch at a random time between noon and 1 p.m. Let X be the time that Xavier arrives (in minutes after 12 p.m.) and Y be the time that Yolanda arrives (in minutes after 12 p.m.). X and Y are independent Uniform(a=0,b=60) random variables. all answers to 3 decimal places

a) FInd the joint p.d.f. of X and Y, then find it at f(15,25)

b) If both Xavier and Yolanda take 15 minutes to eat their lunch
(after they arrive), what is the probability that they are able to
meet up? (*Hint:* Sketch the region of times (x,y) that
correspond to Xavier and Yolanda meeting up. You can calculate this
probability by geometry)

c) What is the probability that Xavier arrives after Yolanda?

Answer #1

Bob and Alice plan to meet between noon and 1 pm for lunch at
the cafeteria. Bob’s arrival time, denoted by X, measured in
minutes after 12 noon, is a uniform random variable between 0 and
60 minutes. The same for Alice’s arrival time, denoted byY.Bob’s
and Alice’s arrival times are independent. We are interested in the
waiting time W=|X−Y|.
i. What is the probability that W≤10 if X= 15?
ii. What is the probability that W≤10 if X= 5?...

Case Study
1: A Day in the
Life
Rachel, the project
manager of a large information systems project, arrives at her
office early to get caught up with work before her co- workers and
project team arrive. However, as she enters the office she meets
Neil, one of her fellow project managers, who also wants to get an
early start on the day. Neil has just completed a project overseas.
They spend 10 minutes socializing and catching up on personal...

I. Solve the following problem:
For the following data:
1, 1, 2, 2, 3, 3, 3, 3, 4, 4, 5, 6 n = 12
b) Calculate
1) the average or average
2) quartile-1
3) quartile-2 or medium
4) quartile-3
5) Draw box diagram (Box & Wisker)
II. PROBABILITY
1. Answer the questions using the following
contingency table, which collects the results of a study to 400
customers of a store where you want to analyze the payment
method.
_______B__________BC_____
A...

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