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240 PROBABILITY (Chapter 10) 7 From the life tables on page 224, determine the probability that: a a female will survive to the age of 60 b a 15 year old male will survive to the age of 70 c a 50 year old woman will die before reaching 65. REVIEW SET 10B 1 Over a 35 day period, Lorna records the number of phone calls she receives. She then draws the graph of her data shown opposite. Number of calls a Using this data, estimate the probability that on number of days any day she will receive: 10 i no phone calls ii at least 3 phone calls iii between 1 and 5 calls inclusive. 0 1 2 3 4 5 b How reliable do you believe your answers are in number of calls / day a? Give reasons for your response. 2 From past experience, a surfer has probability 0:83 of catching a wave. In one week she tries to catch 75 waves. How many do you expect her to have caught? 3 A shared garden area has 12 patches owned by 12 different people. All lines on the figure are fences. If a patch is selected at random, what is the probability that it has: a two shared fences b three shared fences? 4 Jar X contains 3 white and 2 red marbles. Jar Y contains 6 white and 4 red marbles. A marble is selected at random from each jar. Determine the probability that: a both marbles are white c one marble of each colour is selected. b both marbles are red 5 Zelda rolls a normal six-sided die. She will win twice the number of dollars as the number shown on the face. a How much does Zelda expect to win from one roll of the die? b If it costs $8 to play the game, would you advise Zelda to play several games? Explain your answer. 6 From the life tables on page 224, determine the probability that: a a male will survive to the age of 40 b a 20 year old female will survive to the age of 80 c a 35 year old man will die before the age of 70. 7 At a local girlsâ school, 65% of the students play netball, 60% play tennis, and 20% play neither sport. Display this information on a Venn diagram, and hence determine the likelihood that a randomly chosen student plays: cyan magenta yellow 95 100 50 75 25 0 b netball but not tennis d exactly one of these two sports. 5 95 100 50 75 25 0 5 95 100 50 75 25 0 5 95 100 50 75 25 0 5 a netball c at least one of these two sports black Y:\HAESE\IB_MYP4\IB_MYP4_10\240IB_MYP4_10.CDR Thursday, 27 March 2008 1:55:50 PM PETERDELL IB MYP_4