Chapter 20

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20.1. The expected value is (0)(0.67) + (1)(.14) + (2)(.12) + (3)(.05) + (4)(.02) = 0.61. The average number of children under 18 in a household is 0.61.

20.2. Because Stephen Curry makes about half of his field-goal shots, we would expect around two field-goal attempts to make his first field-goal shot (more precisely, shots before he makes his first).

To estimate the expected value using simulation methods, the answer will depend on the starting point in Table A and on the assignment of two-digit pairs. For example, use 00 to 48 to represent a made shot and 49 to 99 to represent a missed shot. Starting on line 115 of Table A, the number of shots until the first made shot is 2, 1, 4, 1, 1, 1, 4, 1, 1, 2. The average of these 10 outcomes is 1.8. Thus, the estimate of the expected number of shots needed to make his first field goal is 1.8 shots based on this simulation.