Service time for a ctomer coming through a checkout counter in a retail store is a random variable with the mean of 3.5 minutes and standard deviation of 4.0 minutes. Suppose that the distribution of service time is fairly close to a normal distribution. Suppose there are two counters in a store, n1​=47 ctomers in the first line and n2​=58 ctomers in the second line. Find the probability that the difference between the mean service time for the shorter line Xˉ1​ and the mean service time for the longer one Xˉ2​ is more than 0.2 minutes. Assume that the service times for each ctomer can be regarded as independent random variables. Round your answer to two decimal places (e.g. 98.76). P=