The HR manager of a factory is reviewing the pay for part-time workers to determine a new policy for them.

By referring to other factories’ pay scales, two types of payment system seem to be popular. The first type shows that the part-time workers are being paid $200 for the first hour and $50 for every subsequent hour of work. The second type indicates that the part-time workers are being paid $400 for a 4-hour work. The manager knows that the part-time workers’ pay is approximately normally distributed with a mean of

$300 and a standard deviation of $55. Based on a 4-hour work period, find the probability in which the second type is exceeding the first type.