For the simple symmetric random walk pSnqn0,1,2,... with S0 0, show that PrS4 0s PrS3 1s (i) with using the probability mass functions of S4 and S3 from class, (ii) without using the probability mass functions of S4 and S3 from class. Hint: In this case, use the fact that PrS3 1s PrS3 1s due to symmetrie of the symmetric random walk (see also Problem 5.2).

X+ y = k 2x + 3y = k + 1 the point of intersection of the lines has an x-coordinate of a.2k + 1 b.-2k + 1 c.2k - 1

What does the sign of the slope tell you about a line?

Questions 7-8. use the following table to answer. year 2006 2007 2008 2009 2010 2011 2012 2013 cpi 201.6 207.342 215.303 214.537 218.056 224.939 229.594 232.957 7. suppose you bought a house in 2006 for $120,000. use the table above to calculate the 2013 value adjusted for inflation. (round to the nearest whole number) 8. suppose you bought a house in 2013 for $90,000. use the table above to calculate the 2006 value adjusted for inflation. (round to the nearest whole number)