Question

This is a Statistics class for Electrical Engineers. Currently covered marginal, joint and conditional probabilities and set theory, distributive, density functions and some more stuff.

Book is “Probabilistic Methods of Signal and System Analysis”; 3rd Edition; George R. Cooper and Clare D. McGillem; Oxford Press Inc., 1999, ISBN: 0-19-512354-9

Equations: Pr(A) 1- P(A) Pr(B)-Pr(BAPr(A Pr(B/A2)Pr(A2).Pr(B/A)Pr(An Pr(A/B)-Pr(An)/Pr(B) Pr(B/A)- Pr(A/B)Pr(B)/Pr(A) Pr(AUB)-Pr(A)+Pr(B)-Pr(AnB) Problem 1 (17 points) Statistics for Tom Brady (quarterback for the New England Patriots) and the New England Patriots Given the following events: L: Patriots Lose, W: Patriots Win, I or less interception, 12: 2 or more Interceptions. Fill in the described probabilities and their values given below 80% of the time Tom Brady throws 1 or less interceptions during a game. Pr( )- When (Given) Tom Brady throws 1 or less interceptions during a game the New England Patriots win 95% of the time Pr( When (Given) Tom Brady throws 2 or more interceptions during a game the New England Patriots lose 70% of the time Pr( Based on the above information determine (a), (b), (c), (d), and (e) below: (a) What is the probability Tom Brady throws 2 or more interceptions a game (b) What is the probability that the New England Patriots will win the game (c) Given that the New England Patriots lost the game what is the probability that Tom Brady threw 1 or less interceptions? (d) Given that Tom Brady throws 2 or more interceptions what is the probability that the New England Patriots win the game?

Answer 1