Random Variables Example Problems

Random Variables Example Problems - Random Variables...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Random Variables – Examples 1. Let X be the number of televisions in an apartment, to be randomly selected in a small town. Suppose that X has probability mass function: x 0 1 2 p ( x ) 0.2 0.7 0.1 (a) Compute the mean/expected value of X . (b) What is the probability that this apartment will have at most 2 televisions? (c) What is the probability that this apartment will have either exactly 0 televisions or exactly 2 televisions? 2. Let X be the amount of time (in minutes) it will take to complete and hand-in an exam (where the exam must be handed-in no later than 50 minutes from the start). Suppose that X has a probability density function (pdf): f ( x ) = ± 1 20 if 30 x < 50 0 otherwise (a) Compute the probability this exam will be handed-in before 20 minutes have passed. (b) Compute the probability this exam will be handed-in when exactly 30 minutes have passed. (c) Compute the probability this exam will be handed in before 32 minutes have passed. 3. A 6-sided die is to be rolled independently 10 times. Let
Background image of page 1

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

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 05/06/2011 for the course STAT 5021 taught by Professor Staff during the Spring '08 term at Minnesota.

Page1 / 3

Random Variables Example Problems - Random Variables...

This preview shows document pages 1 - 2. Sign up to view the full document.

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