Q4 Solutions

Q4 Solutions - P ( A ) , p X ( x ) , and p . The letter P (...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
Steven Weber Dept. of ECE Drexel University ENGR 361: Statistical Analysis of Engineering Systems (Fall, 2007) Quiz 4 Solutions (Wednesday, October 17) Question 1. Define the family of Bernoulli random variables. Bernoulli rvs have a support consisting of two values. Their pmfs are the set of all ordered pairs ( p, 1 - p ) with p [0 , 1], where p is the probability of taking the first value, and 1 - p is the probability of taking the second value. Question 2. A rv X has support X = { 0 , 1 , 2 } . Suppose p (0) = 0 . 15 and p (1) = 0 . 25 What is p (2) ?. p (0) + p (1) + p (2) = 1 implies p (2) = 1 - p (0) - p (1) = 1 - 0 . 15 - 0 . 25 = 0 . 6. Question 3. Define the meaning of
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: P ( A ) , p X ( x ) , and p . The letter P ( ) is the probability of a specied event; The letter p ( x ) (or sometimes p X ( x ) is the probability that the random variable X takes on the the specied value x , i.e., p ( x ) = p X ( x ) = P ( X = x ); The letter p (or sometimes p X ) is the probability mass function for the random variable X , it is the collection of numbers p = ( p ( x ) , x X ) (or p X = ( p X ( x ) , x X )). www.ece.drexel.edu/faculty/sweber 1 October 17, 2007...
View Full Document

Ask a homework question - tutors are online