When solar panels rated at 250 watts of power are manufactured, the power of a given panel is not exactly 250 watts, but there is a 0.5 probability that it is less than 250 watts and a 0.5 probability that it is more than 250 watts. When solar panels are connected together in series on a roof, the power generated is limited by the panel with the least power. For example, if three panels of 240 watts, 250 watts, and 260 watts are connected in series, the total power is NOT 240 + 250 + 260 = 750 watts. Instead, it is 3 × 240 = 720 watts (limited by the 240 watt panel). We need to connect eight panels together in series on a roof. What is the probability that the total power generated will be more than 2000 watts?