1. Suppose that each child born to a couple is equally likely to be a boy...

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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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solution Give that Tota numbe 여 childre。 hat a cauple had And the al y is a gicl S a lor s identical L-e, (Q)-Cornate-e potability _ , all-children gr To compt ProtabliHy 여. all Lous, Probabitty all gls 32 Nao, the prebabilatchlven Sameende Same 3232 l6 all the chi lden ae a Hence the Saine gender = Prolcobilt a the chers gls 32 lence the 32 322 Hence hPbay exac 4 ence the Probaily oldest oe k 4- -32- 32 32 32 32

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1. Suppose that each child born to a couple is equally likely to be a boy...

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