According to the U.S. Employment and Training Administration, the average weekly unemployment benefit paid out in 2008 was $297 (www.ows.doleta.gov/unemploy/hb394.asp). Suppose that the current distribution of weekly unemployment benefits paid out is approximately normally distributed with a mean of $297 and a standard deviation of $74.42. Find the probability that a randomly selected American who is receiving unemployment benefits is receiving
a. More than $400 per week
b. Between $200 and $340 per week