suppose the length of the plug follows N(6,1) distribution

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suppose the length of the plug follows N(6,1) distribution. If the length of the plug is bigger than7.96, a loss of $5 will occur.

1. if a factory produces 100 plugs, what is the expected loos and the variance of the loss?

2. if a factory earns $2 for a plug less than 7.96, at least how many plugs should the company produce so that they can earn $100 with probability greater than 95%?

我知道是很容易的问题啊可还是不会做。麻烦各路大神了。。请解答尽量详细！感谢！！

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关键词：distribution Suppose length follow Istr expected produces suppose company factory