Service time for a customer coming through a checkout counter in a retail store is a random variable with the mean of 4.0 minutes and standard deviation of 1.5 minutes. Suppose that the distribution of service time is fairly close to a normal distribution. Suppose there are two counters in a store, ₁ = 13 customers in the first line and ₂ = 28 customers in the second line. Find the probability that the difference between the mean service time for the shorter line X, and the mean service time for the longer one X₂ is more than 0.2 minutes. Assume that the service times for each customer can be regarded as independent random variables. Round your answer to two decimal places (e.g. 98.76). P = i

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