4.At a particular chess club, it is quite common for a chess game to take over two hours to complete. Suppose that the lengths of these games are normally distributed with a mean of 153 minutes and a standard deviation of 45 minutes.

a)Find the probability that a randomly selected game takes three or more hours to complete. You must show your work using a calculator function to receive credit.

b)Games which last in the longest 1% of all contests are given special recognition on an "Endurance Board" for all club members to see. How long would a game need to last to qualify for the "Endurance Board?" Round your answer to the nearest minute. You must show your work using a calculator function to receive credit.