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  3. 1 suppose that each child born to a couple is...

Question: 1 suppose that each child born to a couple is...

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1. Suppose that each child born to a couple is equally likely to be a boy or a girl, inde- having 5 children, compute the probabilities of the following events: (a) All children are of the same gender (b) The 3 eldest are boys and the others girls. (c) Exactly 3 are boys. (d) The 2 oldest are girls. (e) There is at least 1 girl.
3. In a bolt factory machines A, B, C manifacture, respectively 25, 35 and 40 per cent of the tota. Of their product 5, 4, and 2 per cent are defective bolts. A bolt is drawn at random from the produce and is found defective. What are the probabilities that it was manufactured by machines A, B and C?
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