practice2 - STAT 400 Exam 2 Practice Problems 1. Heidi and...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
STAT 400 Exam 2 Practice Problems 1. Heidi and Alex have agreed to meet for lunch between noon (0:00 p.m.) and 1:00 p.m. Denote Heidi’s arrival time by X, Alex’s by Y, and suppose X and Y are independent with probability density functions f X ( x ) = ( 3 x 2 0 x 1 0 otherwise f Y ( y ) = ( 5 y 4 0 y 1 0 otherwise (a) Write down the joint p.d.f. of ( X,Y ). (b) Find the probability that Heidi arrives before Alex. 1
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
that are checked is lost. Suppose that a frequent-flying businesswoman will be checking 120 bags over the course of the next year. Using Poisson approximation to find the probability that she will lose 2 or more pieces of luggage. 3. Suppose that commercial airplane crashes in a certain country occur at the rate of 2.5 per year. Assume that such crashes follow a Poisson process, (a) Starting from now, let X denotes the time until the next crash, what is the distribution of X ? Write down the p.d.f. of X . (b) What is the probability that the next crash will occur within three months?
Background image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 5

practice2 - STAT 400 Exam 2 Practice Problems 1. Heidi and...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online