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Unformatted text preview: AMS 410 Actuarial Mathematics Fall 2011 Homework 1: General Probability Due Date: 09/22/2011 1. Given that P [ A B ] = 0 . 7 and P [ A B ] = 0 . 9 , find P [ A ] . 2. Given that A and B are independent, P [ A ] = 2 P [ B ] and P [ A B ] = 0 . 15 , find P [ A B ] . 3. Given that A and B are independent, P [ A B ] = 0 . 8 and P [ B ] = 0 . 3 , find P [ A ] . 4. Given that P [ A ] = 0 . 2 ,P [ B ] = 0 . 7 and P [ A  B ] = 0 . 15 , find P [ A B ] . 5. Assuming A,B and C are mutually independent, with P [ A ] = P [ B ] = P [ C ] = 0 . 1 , compute: (a) P [ A B ] (b) P [ A B C ] . 6. A mattress store sells only king, queen and twinsize mattresses. Sales records at the store indicate that onefourth as many queensize mattresses are sold as king and twinsize mattresses combined. Records also indicate that three times as many kingsize mattresses are sold as twinsize mattresses. Calculate the probability that the next mattress sold is either king or queensize.mattresses....
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 Fall '08
 Kerber

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