When solar panels rated at 230 watts of power are manufactured, the power of the panels is
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Question:
When solar panels rated at 230 watts of power are manufactured, the power of the panels is not exactly 230 watts, but is Normally distributed with a mean of 230 watts and a standard deviation of 7.5 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 220 watts, 230 watts, and 240 watts are connected in series, the total power is NOT 220+230+240=690 watts. Instead, it is 3220=660 watts (limited by the 220-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 less than 1760 watts?
The probability is
(Round to three decimal places as needed.)
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