When solar panels rated at 270 watts of power are manufactured, the power of the panels is not exactly 270 watts, but is Normally distributed with a mean of 270 watts and a standard deviation of 6.5 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 260 watts, 270 watts, and 280 watts are connected in series, the total power is NOT 260 + 270 + 280 = 810 watts. Instead, it is 3x260 = 780 watts (limited by the 260-watt panel). We need to connect seven panels together in series on a roof. What is the probability that the total power generated will be less than 1820 watts? Click here to view Table Z: The Normal Distribution (page 1). Click here to view Table Z: The Normal Distribution (page 2). The probability is O (Round to three decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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When solar panels rated at 270 watts of power are manufactured, the power of the panels is not exactly 270 watts, but is Normally distributed with a mean of 270 watts and a standard deviation of 6.5 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 260 watts, 270 watts, and 280 watts are connected in series, the total power is NOT
260 + 270 + 280 = 810 watts. Instead, it is 3x260 = 780 watts (limited by the 260-watt panel). We need to connect seven panels together in series on a roof. What is the probability that the total power generated will be less than
1820 watts?
Click here to view Table Z: The Normal Distribution (page 1).
Click here to view Table Z: The Normal Distribution (page 2).
The probability is O
(Round to three decimal places as needed.)
Transcribed Image Text:When solar panels rated at 270 watts of power are manufactured, the power of the panels is not exactly 270 watts, but is Normally distributed with a mean of 270 watts and a standard deviation of 6.5 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 260 watts, 270 watts, and 280 watts are connected in series, the total power is NOT 260 + 270 + 280 = 810 watts. Instead, it is 3x260 = 780 watts (limited by the 260-watt panel). We need to connect seven panels together in series on a roof. What is the probability that the total power generated will be less than 1820 watts? Click here to view Table Z: The Normal Distribution (page 1). Click here to view Table Z: The Normal Distribution (page 2). The probability is O (Round to three decimal places as needed.)
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