## Related questions with answers

**Solar energy cells**. According to the Earth Policy Institute (July 2014), $65 \%$ of the world's solar energy cells are manufactured in China. Consider a random sample of five solar energy cells and let $x$ represent the number in the sample that are manufactured in China. In the next section, we show that the probability distribution for $x$ is given by the formula:
$p(x)=\frac{(5 !)(.65)^x(.35)^{5-x}}{(x !)(5-x) !}$, where $n !=(n)(n-1)(n-2) \cdots(2)(1)$ and $0 !=1$

Find the probability that at least four of the five solar energy cells in the sample are manufactured in China.

Solution

VerifiedUsing a random sample of $5$ solar cells and having $x$ represent how many of the $5$ are produced in China, the Earth Policy Institute estimates that $65\%$ of the world's solar cells are made there.

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