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See bolded equations

Step-by-step explanation:

The system of equations can be used to solve this problem. C is child ticket and a is adult ticket.

Equation 1

3c+4a=1740

This equation comes from the cost of the tickets. 3c is the cost of $3 per child ticket and 4a is the cost of $4 per adult ticket. 1740 is the total amount collected.

Equation 2

c+a=530

This comes from the number of tickets sold. The c+a is the total of child and adult tickets sold and 530 is the total amount of tickets.

answer: expected value of x = 1.0

step-by-step explanation:

p(x=0) = 0.25

p(x=1) = 0.50

p(x=2) = 0.25

expected value for x = 0×0.25 + 1×0.5 + 2×0.25 = 1.0