Question

Let ( A ) denote the event that there are at least two more customers in one line than in the other line. Express ( A ) in terms of ( x_1 ) and ( x_2 ), and calculate the probability of this event.

a) ( A = |x_1 - x_2| ); Probability ( P(A) = 12 )

b) ( A = x_1 - x_2 ≥ 2 ); Probability ( P(A) = 13 )

c) ( A = x_2 - x_1 ≥ 2 ); Probability ( P(A) = 13 )

d) ( A = |x_2 - x_1| ); Probability ( P(A) = 12 )

Answer 1

Event A is correctly described as occurring when the absolute value of the difference between the number of customers in two lines is greater than or equal to 2. The probability of A requires more distribution information.

Step-by-step explanation:

The question seems to be related to probability theory in mathematics, in particular to the concept of events described through the number of customers in two lines, x_1 and x_2. To determine event A, which is the condition that there are at least two more customers in one line than in the other, we need to express this using the given variables.

Since it is required that one line has at least two more customers than the other, we can describe event A using the absolute value of the difference between x_1 and x_2:

• Event A = |x_1 - x_2| ≥ 2

To calculate the probability P(A), we would need additional information about the distribution of the number of customers in each line, which is not provided here.