A particular lift has a maximum load capacity of $$\(700 \mathrm{~kg}\)$$. The weights of men are normally distributed with mean $$\(80 \mathrm{~kg}\)$$ and standard deviation $$\(10 \mathrm{~kg}\)$$. The weights of women are normally distributed with mean $$\(69 \mathrm{~kg}\)$$ and standard deviation $$\(5 \mathrm{~kg}\)$$. You may assume that weights of people are independent. Find the probability that when 6 men and 3 women are in the lift, the load exceeds $$\(700 \mathrm{~kg}\)$$. (4) A sign in the lift states: "Maximum number of people in the lift is $$\(c\)$$ "

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